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Putting Auction Theory to Work   Paul Milgrom

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Contents

  • 1. Getting to work:
  • 1.1 Politics sets the stage
  • 1.2 Designing for multiple goals
  • 1.3 Comparing seller revenues
  • 1.4 The academic critics
  • 1.5 Plan for this book
  • Section I. The Mechanism Design Approach:
  • 2. Vickrey-Clarke-Groves mechanisms:
  • 2.1 Formulation
  • 2.2 Always optimal and weakly dominant strategies
  • 2.3 Balancing the budget
  • 2.4 Uniqueness
  • 2.5 Disadvantages of the Vickrey auction
  • 2.6 Conclusion
  • 3. The envelope theorem and payoff equivalence:
  • 3.1 Hottelling’s lemma
  • 3.2 The envelope theorem in integral form
  • 3.3 Quasi-linear payoffs
  • 3.4 Conclusion
  • 4. Bidding equilibrium and revenue differences:
  • 4.1 The single crossing conditions
  • 4.2 Deriving and verifying equilibrium strategies
  • 4.3 Revenue comparisons in the benchmark model
  • 4.4 Expected-revenue maximizing auctions
  • 4.5 Conclusion;
  • 5. Interdependence of types and values:
  • 5.1 Which models and assumptions are ‘useful’?
  • 5.2 Statistical dependence and revenue-maximizing auctions
  • 5.3 Wilson’s drainage tract model
  • 5.4 Correlated types model interdependent values
  • 5.5 Conclusion
  • 6. Auctions in context:
  • 6.1 The profit and surplus contribution of an entrant
  • 6.2 Symmetric models with costly entry
  • 6.3 Asymmetric models: devices to promote competition
  • 6.4 After the bidding ends
  • 6.5 Conclusion
  • Section II. Multi-Unit Auctions:
  • 7. Uniform price auctions:
  • 7.1 Uniform price sealed bid auctions
  • 7.2 Simultaneous ascending auctions
  • 7.3 Conclusion
  • 8. Package auctions and combinatorial bidding:
  • 8.1 Vickrey auctions and the monotonicity problems
  • 8.2 Bernheim-Whinston first-price package auctions
  • 8.3 Ausubel-Milgrom ascending proxy auctions
  • 8.4 Conclusion