Abdulkadiroğlu, A. and Sonmez, T. (1999). House allocation with existing tenants. Journal of Economic Theory, 88(2):233–260. (Cited on page 142.)CrossRefGoogle Scholar

Adler, I. (2013). The equivalence of linear programs and zero-sum games. International Journal of Game Theory, 42(1):165–177. (Cited on page 258.)CrossRefGoogle Scholar

Aggarwal, G., Goel, A., and Motwani, R. (2006). Truthful auctions for pricing search keywords. In Proceedings of the 7th ACM Conference on Electronic Commerce (EC), pages 1–7. (Cited on page 35.)CrossRef

Alaei, S., Hartline, J. D., Niazadeh, R., Pountourakis, E., and Yuan, Y. (2015). Optimal auctions vs. anonymous pricing. In Proceedings of the 56th Annual Symposium on Foundations of Computer Science (FOCS), pages 1446–1463. (Cited on page 83.)

Aland, S., Dumrauf, D., Gairing, M., Monien, B., and Schoppmann, F. (2011). Exact price of anarchy for polynomial congestion games. SIAM Journal on Computing, 40(5):1211–1233. (Cited on page 169.)CrossRefGoogle Scholar

Andelman, N., Feldman, M., and Mansour, Y. (2009). Strong price of anarchy. Games and Economic Behavior, 65(2):289–317. (Cited on page 214.)CrossRefGoogle Scholar

Anshelevich, E., Dasgupta, A., Kleinberg, J., Tardos, E., Wexler, T., and Roughgarden, T. (2008a). The price of stability for network design with fair cost allocation. SIAM Journal on Computing, 38(4):1602–1623. (Cited on page 213.)Google Scholar

Anshelevich, E., Dasgupta, A., Tardos, E., and Wexler, T. (2008b). Near-optimal network design with selfish agents. Theory of Computing, 4(1):77–109. (Cited on page 213.)Google Scholar

Archer, A. F. and Tardos, E. (2001). Truthful mechanisms for one-parameter agents. In Proceedings of the 42nd Annual Symposium on Foundations of Computer Science (FOCS), pages 482–491. (Cited on page 49.)CrossRef

Arora, S., Hazan, E., and Kale, S. (2012). The multiplicative weights update method: a meta-algorithm and applications. Theory of Computing, 8(1):121–164. (Cited on page 243.)CrossRefGoogle Scholar

Asadpour, A. and Saberi, A. (2009). On the inefficiency ratio of stable equilibria in congestion games. In Proceedings of the 5th International Workshop on Internet and Network Economics (WINE), pages 545–552. (Cited on page 214.)CrossRef

Ashlagi, I., Fischer, F. A., Kash, I. A., and Procaccia, A. D. (2015). Mix and match: A strategyproof mechanism for multi-hospital kidney exchange. Games and Economic Behavior, 91:284–296. (Cited on page 143.)CrossRefGoogle Scholar

Aumann, R. J. (1959). Acceptable points in general cooperative nperson games. In Luce, R. D. and Tucker, A.W., editors, Contributions to the Theory of Games, volume 4, pages 287–324. Princeton University Press. (Cited on page 214.)

Aumann, R. J. (1974). Subjectivity and correlation in randomized strategies. Journal of Mathematical Economics, 1(1):67–96. (Cited on page 183.)CrossRefGoogle Scholar

Ausubel, L. M. (2004). An efficient ascending-bid auction for multiple objects. American Economic Review, 94(5):1452–1475. (Cited on page 123.)Google Scholar

Ausubel, L. M. and Milgrom, P. (2002). Ascending auctions with package bidding. Frontiers of Theoretical Economics, 1(1):1–42. (Cited on page 110.)Google Scholar

Ausubel, L. M. and Milgrom, P. (2006). The lovely but lonely Vickrey auction. In Cramton, P., Shoham, Y., and Steinberg, R., editors, Combinatorial Auctions, chapter 1, pages 57–95. MIT Press. (Cited on page 93.)Google Scholar

Awerbuch, B., Azar, Y., Epstein, A., Mirrokni, V. S., and Skopalik, A. (2008). Fast convergence to nearly optimal solutions in potential games. In Proceedings of the 9th ACM Conference on Electronic Commerce (EC), pages 264–273. (Cited on page 227.)CrossRef

Awerbuch, B., Azar, Y., and Epstein, L. (2013). The price of routing unsplittable flow. SIAM Journal on Computing, 42(1):160–177. (Cited on page 169.)CrossRefGoogle Scholar

Awerbuch, B., Azar, Y., Richter, Y., and Tsur, D. (2006). Tradeoffs in worst–case equilibria. Theoretical Computer Science, 361(2–3):200–209. (Cited on page 169.)CrossRefGoogle Scholar

Azar, P., Daskalakis, C., Micali, S., and Weinberg, S. M. (2013). Optimal and efficient parametric auctions. In Proceedings of the 24th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 596–604. (Cited on page 70.)CrossRef

Beckmann, M. J., McGuire, C. B., and Winsten, C. B. (1956). Studies in the Economics of Transportation. Yale University Press. (Cited on pages 156 and 183.)

Bertsekas, D. P. and Gallager, R. G. (1987). Data Networks. Prentice- Hall. Second Edition, 1991. (Cited on page 169.)Google Scholar

Bhawalkar, K., Gairing, M., and Roughgarden, T. (2014). Weighted congestion games: Price of anarchy, universal worst-case examples, and tightness. ACM Transactions on Economics and Computation, 2(4):14. (Cited on page 169.)CrossRefGoogle Scholar

Bilo, V., Flammini, M., and Moscardelli, L. (2016). The price of stability for undirected broadcast network design with fair cost allocation is constant. Games and Economic Behavior. To appear. (Cited on page 214.)

Bitansky, N., Paneth, O., and Rosen, A. (2015). On the cryptographic hardness of finding a Nash equilibrium. In Proceedings of the 56th Annual Symposium on Foundations of Computer Science (FOCS), pages 1480–1498. (Cited on page 295.)CrossRef

Blackwell, D. (1956). Controlled random walks. In Noordhoff, E. P., editor, Proceedings of the International Congress of Mathematicians 1954, volume 3, pages 336–338. North-Holland. (Cited on page 243.)

Blum, A., Hajiaghayi, M. T., Ligett, K., and Roth, A. (2008). Regret minimization and the price of total anarchy. In Proceedings of the 39th Annual ACM Symposium on Theory of Computing (STOC), pages 373–382. (Cited on page 199.)CrossRef

Blum, A. and Mansour, Y. (2007a). From external to internal regret. Journal of Machine Learning Research, 8:1307–1324. (Cited on page 258.)Google Scholar

Blum, A. and Mansour, Y. (2007b). Learning, regret minimization, and equilibria. In Nisan, N., Roughgarden, T., Tardos, E., and Vazirani, V., editors, Algorithmic Game Theory, chapter 4, pages 79–101. Cambridge University Press. (Cited on page 243.)

Blume, L. (1993). The statistical mechanics of strategic interaction. Games and Economic Behavior, 5(3):387–424. (Cited on page 214.)CrossRefGoogle Scholar

Blumrosen, L. and Nisan, N. (2007). Combinatorial auctions. In Nisan, N., Roughgarden, T., Tardos, E., and Vazirani, V., editors, Algorithmic Game Theory, chapter 11, pages 267–299. Cambridge University Press. (Cited on page 93.)CrossRef

Borgers, T. (2015). An Introduction to the Theory of Mechanism Design. Oxford University Press. (Cited on page 20.)CrossRef

Braess, D. (1968). Uber ein Paradoxon aus der Verkehrsplanung. Unternehmensforschung, 12(1):258–268. (Cited on pages 9 and 156.)CrossRefGoogle Scholar

Brandt, F., Conitzer, V., Endriss, U., Lang, J., and Procaccia, A. D., editors (2016). Handbook of Computational Social Choice. Cambridge University Press. (Cited on page xi.)CrossRef

Briest, P., Krysta, P., and Vocking, B. (2005). Approximation techniques for utilitarian mechanism design. In Proceedings of the 36th Annual ACM Symposium on Theory of Computing (STOC), pages 39–48. (Cited on page 50.)

Brown, J. W. and von Neumann, J. (1950). Solutions of games by differential equations. In Kuhn, H. W. and Tucker, A. W., editors, Contributions to the Theory of Games, volume 1, pages 73–79. Princeton University Press. (Cited on page 295.)

Bulow, J. and Klemperer, P. (1996). Auctions versus negotiations. American Economic Review, 86(1):180–194. (Cited on page 83.)Google Scholar

Bulow, J. and Roberts, J. (1989). The simple economics of optimal auctions. Journal of Political Economy, 97(5):1060–1090. (Cited on page 70.)CrossRefGoogle Scholar

Cai, Y., Candogan, O., Daskalakis, C., and Papadimitriou, C. H. (2016). Zero-sum polymatrix games: A generalization of minmax. Mathematics of Operations Research, 41(2):648–655. (Cited on page 258.)CrossRefGoogle Scholar

Caragiannis, I., Kaklamanis, C., Kanellopoulos, P., Kyropoulou, M., Lucier, B., Paes Leme, R., and Tardos, E. (2015). On the efficiency of equilibria in generalized second price auctions. Journal of Economic Theory, 156:343–388. (Cited on page 199.)CrossRefGoogle Scholar

Cesa-Bianchi, N. and Lugosi, G. (2006). Prediction, Learning, and Games. Cambridge University Press. (Cited on page 243.)CrossRef

Cesa-Bianchi, N., Mansour, Y., and Stolz, G. (2007). Improved second-order bounds for prediction with expert advice. Machine Learning, 66(2–3):321–352. (Cited on page 243.)CrossRefGoogle Scholar

Chakrabarty, D. (2004). Improved bicriteria results for the selfish routing problem. Unpublished manuscript. (Cited on page 169.)

Chawla, S., Hartline, J. D., and Kleinberg, R. D. (2007). Algorithmic pricing via virtual valuations. In Proceedings of the 8th ACM Conference on Electronic Commerce (EC), pages 243–251. (Cited on page 83.)CrossRef

Chawla, S., Hartline, J. D., Malec, D., and Sivan, B. (2010). Multiparameter mechanism design and sequential posted pricing. In Proceedings of the 41st Annual ACM Symposium on Theory of Computing (STOC), pages 311–320. (Cited on page 83.)

Chekuri, C. and Gamzu, I. (2009). Truthful mechanisms via greedyiterative packing. In Proceedings of the 12th International Workshop on Approximation Algorithms for Combinatorial OptimizationProblems (APPROX), pages 56–69. (Cited on page 50.)

Chen, R. and Chen, Y. (2011). The potential of social identity forequilibrium selection. American Economic Review, 101(6):2562–2589. (Cited on page 214.)CrossRefGoogle Scholar

Chen, X., Deng, X., and Teng, S.-H. (2009). Settling the complexityof computing twoplayer Nash equilibria. Journal of the ACM,56(3):14. (Cited on page 294.)CrossRefGoogle Scholar

Chien, S. and Sinclair, A. (2011). Convergence to approximate Nashequilibria in congestion games. Games and Economic Behavior,71(2):315–327. (Cited on page 227.)CrossRefGoogle Scholar

Christodoulou, G. and Koutsoupias, E. (2005a). On the price ofanarchy and stability of correlated equilibria of linear congestiongames. In Proceedings of the 13th Annual European Symposium onAlgorithms (ESA), pages 59–70. (Cited on page 169.)

Christodoulou, G. and Koutsoupias, E. (2005b). The price of anarchyof finite congestion games. In Proceedings of the 36th Annual ACMSymposium on Theory of Computing (STOC), pages 67–73. (Citedon page 169.)

Christodoulou, G., Kovács, A., and Schapira, M. (2008). Bayesiancombinatorial auctions. In Proceedings of the 35th InternationalColloquium on Automata, Languages and Programming (ICALP),pages 820–832. (Cited on page 199.)

Clarke, E. H. (1971). Multipart pricing of public goods. Public Choice,11(1):17–33. (Cited on page 93.)Google Scholar

Cohen, J. E. and Horowitz, P. (1991). Paradoxical behaviour of mechanical and electrical networks. Nature, 352(8):699–701. (Citedon page 9.)CrossRefGoogle Scholar

Cominetti, R., Correa, J. R., and Stier Moses, N. E. (2009). The impact of oligopolistic competition in networks. Operations Research,57(6):1421–1437. (Cited on page 169.)CrossRefGoogle Scholar

Cook, W. J., Cunningham, W. H., Pulleyblank, W. R., and Schrijver, A. (1998). Combinatorial Optimization. Wiley. (Cited on pages 156and 308.)

Correa, J. R., Schulz, A. S., and Stier Moses, N. E. (2004). Selfish routing in capacitated networks. Mathematics of OperationsResearch, 29(4):961–976. (Cited on page 156.)CrossRefGoogle Scholar

Cramton, P. (2006). Simultaneous ascending auctions. In Cramton, P., Shoham, Y., and Steinberg, R., editors, Combinatorial Auctions, chapter 4, pages 99–114. MIT Press. (Cited on page 110.)

Cramton, P. and Schwartz, J. (2000). Collusive bidding: Lessonsfrom the FCC spectrum auctions. Journal of Regulatory Economics,17(3):229–252. (Cited on page 110.)CrossRefGoogle Scholar

Cramton, P., Shoham, Y., and Steinberg, R., editors (2006). Combinatorial Auctions. MIT Press. (Cited on page 110.)

Crémer, J. and McLean, R. P. (1985). Optimal selling strategies under uncertainty for a discriminating monopolist when demands areinterdependent. Econometrica, 53(2):345–361. (Cited on page 69.)CrossRefGoogle Scholar

Dantzig, G. B. (1951). A proof of the equivalence of the programmingproblem and the game problem. In Koopmans, T. C., editor, Activity Analysis of Production and Allocation, Cowles CommissionMonograph No. 13, chapter XX, pages 330–335. Wiley. (Cited onpage 258.)

Dantzig, G. B. (1982). Reminiscences about the origins of linearprogramming. Operations Research Letters, 1(2):43–48. (Cited onpage 258.)CrossRefGoogle Scholar

Daskalakis, C. (2013). On the complexity of approximating a Nashequilibrium. ACM Transactions on Algorithms, 9(3):23. (Cited onpage 295.)CrossRefGoogle Scholar

Daskalakis, C., Goldberg, P. W., and Papadimitriou, C. H. (2009a).The complexity of computing a Nash equilibrium. SIAM Journalon Computing, 39(1):195–259. (Cited on page 294.)Google Scholar

Daskalakis, C., Goldberg, P. W., and Papadimitriou, C. H. (2009b).The complexity of computing a Nash equilibrium. Communicationsof the ACM, 52(2):89–97. (Cited on page 295.)Google Scholar

Devanur, N. R., Ha, B. Q., and Hartline, J. D. (2013). Priorfreeauctions for budgeted agents. In Proceedings of the 14th ACMConference on Electronic Commerce (EC), pages 287–304. (Citedon page 123.)

Dhangwatnotai, P., Roughgarden, T., and Yan, Q. (2015). Revenuemaximization with a single sample. Games and Economic Behavior,91:318–333. (Cited on page 83.)CrossRefGoogle Scholar

Diamantaras, D., Cardamone, E. I., Campbell, K. A., Deacle, S., and Delgado, L. A. (2009). A Toolbox for Economic Design. PalgraveMacmillan. (Cited on page 20.)

Dobzinski, S., Lavi, R., and Nisan, N. (2012). Multiunit auctionswith budget limits. Games and Economic Behavior, 74(2):486–503.(Cited on pages 123 and 124.)CrossRefGoogle Scholar

Dobzinski, S., Nisan, N., and Schapira, M. (2010). Approximationalgorithms for combinatorial auctions with complementfree bidders. Mathematics of Operations Research, 35(1):1–13. (Cited onpage 93.)CrossRefGoogle Scholar

Dobzinski, S. and Paes Leme, R. (2014). Efficiency guarantees inauctions with budgets. In Proceedings of the 41st InternationalColloquium on Automata, Languages and Programming (ICALP),pages 392–404. (Cited on page 124.)

Dubins, L. E. and Freedman, D. A. (1981). Machiavelli and the GaleShapley algorithm. American Mathematical Monthly, 88(7):485–494. (Cited on page 143.)CrossRefGoogle Scholar

Dynkin, E. B. (1963). The optimum choice of the instant for stoppinga Markov process. Soviet Mathematics Doklady, 4:627–629. (Citedon page 20.)Google Scholar

Edelman, B., Ostrovsky, M., and Schwarz, M. (2007). Internet advertising and the Generalized SecondPrice Auction: Selling billions ofdollars worth of keywords. American Economic Review, 97(1):242–259. (Cited on pages 20 and 35.)CrossRefGoogle Scholar

Epstein, A., Feldman, M., and Mansour, Y. (2009). Strong equilibrium in cost sharing connection games. Games and EconomicBehavior, 67(1):51–68. (Cited on page 214.)CrossRefGoogle Scholar

Etessami, K. and Yannakakis, M. (2010). On the complexity of Nashequilibria and other fixed points. SIAM Journal on Computing,39(6):2531–2597. (Cited on page 295.)CrossRefGoogle Scholar

Even-Dar, E., Kesselman, A., and Mansour, Y. (2007). Convergencetime to Nash equilibrium in load balancing. ACM Transactions onAlgorithms, 3(3):32. (Cited on page 227.)CrossRefGoogle Scholar

Fabrikant, A., Papadimitriou, C. H., and Talwar, K. (2004). Thecomplexity of pure Nash equilibria. In Proceedings of the 35thAnnual ACM Symposium on Theory of Computing (STOC), pages604–612. (Cited on page 277.)

Facchini, G., van Megan, F., Borm, P., and Tijs, S. (1997). Congestion models and weighted Bayesian potential games. Theory andDecision, 42(2):193–206. (Cited on page 183.)CrossRefGoogle Scholar

Federal Communications Commission (2015). Procedures for competitive bidding in auction 1000, including initial clearing targetdetermination, qualifying to bid, and bidding in auctions 1001 (reverse) and 1002 (forward). Public notice FCC 15-78. (Cited onpage 110.)

Foster, D. P. and Vohra, R. (1997). Calibrated learning and correlatedequilibrium. Games and Economic Behavior, 21(1–2):40–55. (Citedon page 258.)Google Scholar

Foster, D. P. and Vohra, R. (1999). Regret in the online decisionproblem. Games and Economic Behavior, 29(1–2):7–35. (Cited onpage 243.)Google Scholar

Fotakis, D. (2010). Congestion games with linearly independentpaths: Convergence time and price of anarchy. Theory of Computing Systems, 47(1):113–136. (Cited on page 277.)CrossRefGoogle Scholar

Fotakis, D., Kontogiannis, S. C., and Spirakis, P. G. (2005). Selfishunsplittable flows. Theoretical Computer Science, 348(2–3):226–239. (Cited on page 183.)Google Scholar

Fréchette, A., Newman, N., and Leyton-Brown, K. (2016). Solvingthe station repacking problem. In Proceedings of the 30th AAAIConference on Artificial Intelligence (AAAI). (Cited on page 110.)

Freund, Y. and Schapire, R. E. (1997). A decisiontheoretic generalization of online learning and an application to boosting. Journal of Computer and System Sciences, 55(1):119–139. (Cited onpage 243.)Google Scholar

Freund, Y. and Schapire, R. E. (1999). Adaptive game playing usingmultiplicative weights. Games and Economic Behavior, 29(1–2):79–103. (Cited on page 258.)CrossRefGoogle Scholar

Gale, D., Kuhn, H. W., and Tucker, A. W. (1950). On symmetricgames. In Kuhn, H. W. and Tucker, A. W., editors, Contributions to the Theory of Games, volume 1, pages 81–87. PrincetonUniversity Press. (Cited on page 295.)

Gale, D., Kuhn, H. W., and Tucker, A. W. (1951). Linear programming and the theory of games. In Koopmans, T. C., editor, Activity Analysis of Production and Allocation, Cowles CommissionMonograph No. 13, chapter XIX, pages 317–329. Wiley. (Cited onpage 258.)

Gale, D. and Shapley, L. S. (1962). College admissions and the stability of marriage. American Mathematical Monthly, 69(1):9–15.(Cited on page 143.)CrossRefGoogle Scholar

Gale, D. and Sotomayor, M. (1985). Ms. Machiavelli and the stablematching problem. American Mathematical Monthly, 92(4):261–268. (Cited on page 143.)Google Scholar

Garey, M. R. and Johnson, D. S. (1979). Computers and Intractability: A Guide to the Theory of NP-Completeness. Freeman. (Citedon pages 50, 276, and 301.)

Geanakoplos, J. (2003). Nash and Walras equilibrium via Brouwer.Economic Theory, 21(2/3):585–603. (Cited on page 295.)CrossRefGoogle Scholar

Gibbard, A. (1973). Manipulation of voting schemes: A general result.Econometrica, 41(4):587–601. (Cited on page 50.)CrossRefGoogle Scholar

Gilboa, I. and Zemel, E. (1989). Nash and correlated equilibria:Some complexity considerations. Games and Economic Behavior, 1(1):80–93. (Cited on page 258.)CrossRefGoogle Scholar

Goemans, M. X., Mirrokni, V. S., and Vetta, A. (2005). Sink equilibria and convergence. In Proceedings of the 46th Annual Symposium on Foundations of Computer Science (FOCS), pages 142–151.(Cited on page 183.)CrossRefGoogle Scholar

Goeree, J. K. and Holt, C. A. (2010). Hierarchical package bidding:A paper & pencil combinatorial auction. Games and EconomicBehavior, 70(1):146–169. (Cited on page 110.)Google Scholar

Goldberg, A. V., Hartline, J. D., Karlin, A., Saks, M., and Wright, A. (2006). Competitive auctions. Games and Economic Behavior, 55(2):242–269. (Cited on pages 35 and 83.)CrossRefGoogle Scholar

Groves, T. (1973). Incentives in teams. Econometrica, 41(4):617–631.(Cited on page 93.)CrossRefGoogle Scholar

Hajiaghayi, M. T., Kleinberg, R. D., and Parkes, D. C. (2004). Adaptive limited-supply online auctions. In Proceedings of the 5th ACMConference on Electronic Commerce (EC), pages 71–80. (Cited onpage 20.)Google Scholar

Hannan, J. (1957). Approximation to Bayes risk in repeated play. In Dresher, M., Tucker, A. W., and Wolfe, P., editors, Contributions to the Theory of Games, volume 3, pages 97–139. Princeton University Press. (Cited on pages 183, 243, and 258.)

Harks, T. (2011). Stackelberg strategies and collusion in network games with splittable flow. Theory of Computing Systems, 48(4):781–802. (Cited on page 169.)Google Scholar

Harstad, R. M. (2000). Dominant strategy adoption and bidders'experience with pricing rules. Experimental Economics, 3(3):261–280. (Cited on page 110.)CrossRefGoogle Scholar

Hart, S. and MasColell, A. (2000). A simple adaptive procedure leading to correlated equilibrium. Econometrica, 68(5):1127–1150.(Cited on page 258.)CrossRefGoogle Scholar

Hart, S. and Nisan, N. (2013). The query complexity of correlated equilibria. Working paper. (Cited on page 277.)

Hartline, J. D. (2016). Mechanism design and approximation. Bookin preparation. (Cited on pages xi, 69, and 83.)

Hartline, J. D. and Kleinberg, R. D. (2012). Badminton and the science of rule making. The Huffington Post. (Cited on page 9.)

Hartline, J. D. and Roughgarden, T. (2009). Simple versus optimal mechanisms. In Proceedings of the 10th ACM Conference on Electronic Commerce (EC), pages 225–234. (Cited on page 83.)CrossRefGoogle Scholar

Hoeksma, R. and Uetz, M. (2011). The price of anarchy for minsum related machine scheduling. In Proceedings of the 9th International Workshop on Approximation and Online Algorithms(WAOA), pages 261–273. (Cited on page 199.)Google Scholar

Holmstrom, B. (1977). On Incentives and Control in Organizations. PhD thesis, Stanford University. (Cited on page 93.)

Hurwicz, L. (1972). On informationally decentralized systems. In McGuire, C. B. and Radner, R., editors, Decision and Organization, pages 297–336. University of Minnesota Press. (Cited on page 20.)

Ibarra, O. H. and Kim, C. E. (1975). Fast approximation algorithms for the knapsack and sum of subset problems. Journal of the ACM, 22(4):463–468. (Cited on page 50.)CrossRef

Jackson, M. O. (2008). Social and Economic Networks. Princeton University Press. (Cited on page 213.)

Jiang, A. X. and Leyton-Brown, K. (2015). Polynomial time computation of exact correlated equilibrium in compact games. Games and Economic Behavior, 91:347–359. (Cited on page 277.)CrossRefGoogle Scholar

Johnson, D. S., Papadimitriou, C. H., and Yannakakis, M. (1988). How easy is local search? Journal of Computer and System Sciences, 37(1):79–100. (Cited on pages 276 and 294.)

Kalai, A. and Vempala, S. (2005). Efficient algorithms for online decision problems. Journal of Computer and System Sciences, 71(3):291–307. (Cited on page 243.)CrossRefGoogle Scholar

Karlin, S. and Taylor, H. (1975). A First Course in Stochastic Processes. Academic Press, second edition. (Cited on page 258.)

Kirkegaard, R. (2006). A short proof of the Bulow-Klemperer auctions vs. negotiations result. Economic Theory, 28(2):449–452.(Cited on page 83.)CrossRefGoogle Scholar

Klemperer, P. (2004). Auctions: Theory and Practice. Princeton University Press. (Cited on page 110.)CrossRef

Koutsoupias, E. and Papadimitriou, C. H. (1999). Worstcase equilibria. In Proceedings of the 16th Annual Symposium on Theoretical Aspects of Computer Science (STACS), volume 1563 of Lecture Notes in Computer Science, pages 404–413. (Cited on pages 9, 169,and 183.)

Krishna, V. (2010). Auction Theory. Academic Press, second edition.(Cited on pages 20 and 70.)

Lehmann, D., O'Callaghan, L. I., and Shoham, Y. (2002). Truth revelation in approximately efficient combinatorial auctions. Journalof the ACM, 49(5):577–602. (Cited on pages 49 and 50.)CrossRefGoogle Scholar

Lemke, C. E. and Howson Jr.,, J. T. (1964). Equilibrium points of bi-matrix games. SIAM Journal, 12(2):413–423. (Cited on page 295.)

Lipton, R. J., Markakis, E., and Mehta, A. (2003). Playing largegames using simple strategies. In Proceedings of the 4th ACM Conference on Electronic Commerce (EC), pages 36–41. (Citedon page 295.)Google Scholar

Littlestone, N. (1988). Learning quickly when irrelevant attributes abound: A new linear threshold algorithm. Machine Learning, 2(4):285–318. (Cited on page 243.)CrossRefGoogle Scholar

Littlestone, N. and Warmuth, M. K. (1994). The weighted majority algorithm. Information and Computation, 108(2):212–261. (Citedon page 243.)Google Scholar

Mas-Colell, A., Whinston, M. D., and Green, J. R. (1995). Microeconomic Theory. Oxford University Press. (Cited on page 20.)

McVitie, D. G. and Wilson, L. B. (1971). The stable marriage problem. Communications of the ACM, 14(7):486–490. (Cited onpage 143.)Google Scholar

Megiddo, N. and Papadimitriou, C. H. (1991). On total functions, existence theorems and computational complexity. Theoretical Computer Science, 81(2):317–324. (Cited on page 294.)CrossRefGoogle Scholar

Milchtaich, I. (1996). Congestion games with player specific payoff functions. Games and Economic Behavior, 13(1):111–124. (Citedon page 227.)CrossRefGoogle Scholar

Milgrom, P. (2004). Putting Auction Theory to Work. Cambridge University Press. (Cited on page 110.)

Milgrom, P. and Segal, I. (2015a). Deferred acceptance auctions and radio spectrum reallocation. Working paper. (Cited on page 110.)

Milgrom, P. and Segal, I. (2015b). Designing the US Incentive Auction. Working paper. (Cited on page 110.)

Mirrokni, V. S. and Vetta, A. (2004). Convergence issues in competitive games. In Proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX), pages 183–194. (Cited on pages 199 and 227.)CrossRefGoogle Scholar

Mitzenmacher, M. and Upfal, E. (2005). Probability and Computing:Randomized Algorithms and Probabilistic Analysis. Cambridge University Press. (Cited on pages 305 and 308.)

Monderer, D. and Shapley, L. S. (1996). Potential games. Games and Economic Behavior, 14(1):124–143. (Cited on pages 183 and 226.)CrossRefGoogle Scholar

Motwani, R. and Raghavan, P. (1996). Randomized Algorithms. Cambridge University Press. (Cited on pages 305 and 308.)CrossRef

Moulin, H. (1980). On strategy proofness and single peakedness. Public Choice, 35(4):437–455. (Cited on page 124.)CrossRefGoogle Scholar

Moulin, H. and Shenker, S. (2001). Strategy proof sharing of sub modular costs: Budget balance versus efficiency. Economic Theory, 18(3):511–533. (Cited on page 35.)CrossRefGoogle Scholar

Moulin, H. and Vial, J. P. (1978). Strategically zero sum games: The class of games whose completely mixed equilibria cannot be improved upon. International Journal of Game Theory, 7(3–4):201–221. (Cited on page 183.)CrossRefGoogle Scholar

Mu'Alem, A. and Nisan, N. (2008). Truthful approximation mechanisms for restricted combinatorial auctions. Games and Economic Behavior, 64(2):612–631. (Cited on page 50.)CrossRefGoogle Scholar

Myerson, R. (1981). Optimal auction design. Mathematics of Operations Research, 6(1):58–73. (Cited on pages 35 and 69.)Google Scholar

Nash, Jr., J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1):48–49. (Citedon pages 9 and 183.)CrossRefGoogle Scholar

Nash, Jr., J. F. (1951). Non-cooperative games. Annals of Mathematics, 54(2):286–295. (Cited on page 295.)CrossRefGoogle Scholar

Nisan, N. (2015). Algorithmic mechanism design: Through the lensof multiunit auctions. In Young, H. P. and Zamir, S., editors, Handbook of Game Theory, volume 4, chapter 9, pages 477–515. North-Holland. (Cited on page 49.)CrossRef

Nisan, N. and Ronen, A. (2001). Algorithmic mechanism design. Games and Economic Behavior, 35(1–2):166–196. (Citedon page 49.)Google Scholar

Nisan, N., Roughgarden, T., Tardos, É., and Vazirani, V., editors(2007). Algorithmic Game Theory. Cambridge University Press.(Cited on page xi.)CrossRef

Nobel Prize Committee (2007). Scientific background on the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel:Mechanism Design Theory. Prize Citation. (Cited on page 20.)

Olifer, N. and Olifer, V. (2005). Computer Networks: Principles, Technologies and Protocols for Network Design. Wiley. (Cited onpage 169.)

Ostrovsky, M. and Schwarz, M. (2009). Reserve prices in Internet advertising auctions: A field experiment. Working paper. (Citedon page 70.)CrossRef

Papadimitriou, C. H. (1994). On the complexity of the parity argument and other inefficient proofs of existence. Journal of Computerand System Sciences, 48(3):498–532. (Cited on page 294.)CrossRefGoogle Scholar

Papadimitriou, C. H. (2007). The complexity of finding Nash equilibria. In Nisan, N., Roughgarden, T., Tardos, É., and Vazirani, V.,editors, Algorithmic Game Theory, chapter 2, pages 29–51. Cambridge University Press. (Cited on page 295.)CrossRef

Papadimitriou, C. H. and Roughgarden, T. (2008). Computing correlated equilibria in multiplayer games. Journal of the ACM, 55(3):14. (Cited on page 277.)CrossRefGoogle Scholar

Parkes, D. C. and Seuken, S. (2016). Economics and computation. Book in preparation. (Cited on page xi.)

Pigou, A. C. (1920). The Economics of Welfare. Macmillan. (Citedon page 156.)

Rabin, M. O. (1957). Effective computability of winning strategies. In Dresher, M., Tucker, A. W., and Wolfe, P., editors, Contributions to the Theory of Games, volume 3, pages 147–157. Princeton University Press. (Cited on page 9.)

Rassenti, S. J., Smith, V. L., and Bulfin, R. L. (1982). A combinatorial auction mechanism for airport time slot allocation. Bell Journal of Economics, 13(2):402–417. (Cited on page 110.)CrossRefGoogle Scholar

Rochet, J. C. (1987). A necessary and sufficient condition for rationalizability in a quasilinear context. Journal of Mathematical Economics, 16(2):191–200. (Cited on page 93.)CrossRefGoogle Scholar

Rosen, A., Segev, G., and Shahaf, I. (2016). Can PPAD hardnessbe based on standard cryptographic assumptions? Working paper.(Cited on page 295.)

Rosenthal, R. W. (1973). A class of games possessing purestrategy Nash equilibria. International Journal of Game Theory, 2(1):65–67.(Cited on pages 169 and 183.)CrossRefGoogle Scholar

Roth, A. E. (1982a). The economics of matching: Stability and incentives. Mathematics of Operations Research, 7(4):617–628. (Citedon page 143.)Google Scholar

Roth, A. E. (1982b). Incentive compatibility in a market with indivisible goods. Economics Letters, 9(2):127–132. (Cited on page 124.)Google Scholar

Roth, A. E. (1984). The evolution of the labor market for medicalinterns and residents: A case study in game theory. Journal of Political Economy, 92(6):991–1016. (Cited on page 143.)CrossRefGoogle Scholar

Roth, A. E. and Peranson, E. (1999). The redesign of the matching market for American physicians: Some engineering aspects of economic design. American Economic Review, 89(4):748–780. (Citedon page 143.)CrossRefGoogle Scholar

Roth, A. E. and Postlewaite, A. (1977). Weak versus strong domination in a market with indivisible goods. Journal of Mathematical Economics, 4(2):131–137. (Cited on page 124.)CrossRefGoogle Scholar

Roth, A. E., Sönmez, T., and Ünver, M. U. (2004). Kidney exchange. QuarterlJournal of Economics, 119(2):457–488. (Citedon page 142.)CrossRefGoogle Scholar

Roth, A. E., Sönmez, T., and Ünver, M. U. (2005). Pairwise kidney exchange. Journal of Economic Theory, 125(2):151–188. (Cited onpage 143.)Google Scholar

Roth, A. E., Sönmez, T., and Ünver, M. U. (2007). Efficient kidney exchange: Coincidence of wants in markets with compatibility based preferences. American Economic Review, 97(3):828–851. (Cited onpage 143.)CrossRefGoogle Scholar

Rothkopf, M., Teisberg, T., and Kahn, E. (1990). Why are Vickrey auctions rare. Journal of Political Economy, 98(1):94–109. (Citedon page 93.)Google Scholar

Roughgarden, T. (2003). The price of anarchy is independent ofthe network topology. Journal of Computer and System Sciences, 67(2):341–364. (Cited on page 156.)CrossRefGoogle Scholar

Roughgarden, T. (2005). Selfish Routing and the Price of Anarchy. MIT Press. (Cited on page 156.)

Roughgarden, T. (2006). On the severity of Braess's Paradox: Designing networks for selfish users is hard. Journal of Computer andSystem Sciences, 72(5):922–953. (Cited on pages 9 and 156.)CrossRefGoogle Scholar

Roughgarden, T. (2010a). Algorithmic game theory. Communicationsof the ACM, 53(7):78–86. (Cited on page 169.)Google Scholar

Roughgarden, T. (2010b). Computing equilibria: A computational complexity perspective. Economic Theory, 42(1):193–236. (Citedon pages 276 and 294.)Google Scholar

Roughgarden, T. (2015). Intrinsic robustness of the price of anarchy. Journal of the ACM, 62(5):32. (Cited on pages 169, 199, and 227.)Google Scholar

Roughgarden, T. and Schoppmann, F. (2015). Local smoothness and the price of anarchy in splittable congestion games. Journal of Economic Theory, 156:317–342. (Cited on page 169.)Google Scholar

Roughgarden, T. and Sundararajan, M. (2007). Is efficiency expensive? In Proceedings of the 3rd Workshop on Sponsored Search.(Cited on page 83.)

Roughgarden, T., Syrgkanis, V., and Tardos, É.. (2016). The priceof anarchy in auctions. Working paper. (Cited on page 199.)

Roughgarden, T. and Tardos, É. (2002). How bad is selfish routing. Journal of the ACM, 49(2):236–259. (Cited on pages 156 and 169.)CrossRefGoogle Scholar

Rubinstein, A. (2016). Settling the complexity of computing approximate twoplayer Nash equilibria. Working paper. (Cited onpage 295.)

Sack, K. (2012). 60 lives, 30 kidneys, all linked. New York Times. February 18. (Cited on page 143.)

SamuelCahn, E. (1984). Comparison of threshold stop rules and maximum for independent nonnegative random variables. Annalsof Probability, 12(4):1213–1216. (Cited on page 83.)CrossRef

Schäffer, A. A. and Yannakakis, M. (1991). Simple local search problems that are hard to solve. SIAM Journal on Computing, 20(1):56–87. (Cited on page 277.)Google Scholar

Shapley, L. and Scarf, H. (1974). On cores and indivisibility. Journalof Mathematical Economics, 1(1):23–37. (Cited on page 124.)CrossRefGoogle Scholar

Shapley, L. S. and Shubik, M. (1971). The assignment game I: Thecore. International Journal of Game Theory, 1(1):111–130. (Citedon page 110.)CrossRefGoogle Scholar

Sheffi, Y. (1985). Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall.(Cited on page 156.)

Shoham, Y. and Leyton-Brown, K. (2009). Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press. (Cited on page xi.)

Skopalik, A. and Vöcking, B. (2008). Inapproximability of pure Nashequilibria. In Proceedings of the 39th Annual ACM Symposium onTheory of Computing (STOC), pages 355–364. (Cited on pages 227and 277.)Google Scholar

Smith, A. (1776). An Inquiry into the Nature and Causes of the Wealth of Nations. Methuen. (Cited on page 9.)CrossRef

Sperner, E. (1928). Neuer Beweis für die Invarianz der Dimensionszahl und des Gebietes. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 6(1):265–272. (Cited onpage 295.)CrossRefGoogle Scholar

Varian, H. R. (2007). Position auctions. International Journal of Industrial Organization, 25(6):1163–1178. (Cited on pages 20 and 35.)Google Scholar

Vetta, A. (2002). Nash equilibria in competitive societies, with applications to facility location, traffic routing and auctions. In Proceedings of the 43rd Annual Symposium on Foundations of ComputerScience (FOCS), pages 416–425. (Cited on page 199.)CrossRefGoogle Scholar

Vazirani, V. V. (2001). Approximation Algorithms. Springer. (Citedon page 50.)

Vickrey, W. (1961). Counterspeculation, auctions, and competitivesealed tenders. Journal of Finance, 16(1):8–37. (Cited on pages 20,70, and 93.)CrossRefGoogle Scholar

Ville, J. (1938). Sur la theorie générale des jeux ou intervientl'habileté des joueurs. Fascicule 2 in Volume 4 of É. Borel, Traité du Calcul des probabilités et de ses applications, pages 105–113. Gauthier-Villars. (Cited on page 258.)

Vohra, R. V. (2011). Mechanism Design: A Linear ProgrammingApproach. Cambridge University Press. (Cited on page 93.)

Vojnović, M. (2016). Contest Theory. Cambridge University Press.(Cited on page xi.)

Neumann, von J. (1928). Zur Theorie der Gesellschaftsspiele. Mathematische Annalen, 100:295–320. (Cited on page 258.)CrossRefGoogle Scholar

Neumann, von J. and Morgenstern, O. (1944). Theory of Gamesand Economic Behavior. Princeton University Press. (Cited onpage 258.)

Stengel, von B. (2002). Computing equilibria for two-person games.In Aumann, R. J. and Hart, S., editors, Handbook of Game Theorywith Economic Applications, volume 3, chapter 45, pages 1723–1759. North-Holland. (Cited on page 295.)

Voorneveld, M., Borm, P., Megen, van F., Tijs, S., and Facchini, G.(1999). Congestion games and potentials reconsidered. International Game Theory Review, 1(3–4):283–299. (Cited on page 183.)Google Scholar

Wardrop, J. G. (1952). Some theoretical aspects of road traffic research. In Proceedings of the Institute of Civil Engineers, Pt. II, volume 1, pages 325–378. (Cited on page 156.)CrossRefGoogle Scholar

Williamson, D. P. and Shmoys, D. B. (2010). The Design of Approximation Algorithms. Cambridge University Press. (Cited onpage 50.)