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Incentives in experiments with objective lotteries

Published online by Cambridge University Press:  14 March 2025

Yaron Azrieli ,
Christopher P. Chambers  and
Paul J. Healy
Yaron Azrieli*
Affiliation:
Department of Economics, The Ohio State University, Columbus, USA
Christopher P. Chambers*
Affiliation:
Department of Economics, Georgetown University, Washington, USA
Paul J. Healy*
Affiliation:
Department of Economics, The Ohio State University, Columbus, USA
*
azrieli.2@osu.edu
cc1950@georgetown.edu
healy.52@osu.edu
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Abstract

Azrieli et al. (J Polit Econ, 2018) provide a characterization of incentive compatible payment mechanisms for experiments, assuming subjects’ preferences respect dominance but can have any possible subjective beliefs over random outcomes. If instead we assume subjects view probabilities as objective—for example, when dice or coins are used—then the set of incentive compatible mechanisms may grow. In this paper we show that it does, but the added mechanisms are not widely applicable. As in the subjective-beliefs framework, the only broadly-applicable incentive compatible mechanism (assuming all preferences that respect dominance are admissible) is to pay subjects for one randomly-selected decision.

Keywords

Experimental designDecision theoryMechanism design

JEL classification

D84: Expectations • Speculations C90: General D81: Criteria for Decision-Making under Risk and Uncertainty

Information

Type
Original Paper
Information
Experimental Economics , Volume 23 , Issue 1 , March 2020 , pp. 1 - 29
Copyright
Copyright © 2019 Economic Science Association

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References

Allais, M (1953). Le comportement de l’homme rationnel devant le risque: Critique des postulats et axiomes de l’ecole americaine. Econometrica, 21(4), 503–546. 10.2307/1907921CrossRefGoogle Scholar
Azrieli, Y, Chambers, CP, & Healy, PJ (2018). Incentives in experiments: A theoretical analysis. Journal of Political Economy, 126(4), 1472–1503. 10.1086/698136CrossRefGoogle Scholar
Bateman, I, Day, B, Loomes, G, & Sugden, R (2007). Can ranking techniques elicit robust values?. Journal of Risk & Uncertainty, 34, 49–66. 10.1007/s11166-006-9003-4CrossRefGoogle Scholar
Beattie, J, & Loomes, G (1997). The impact of incentives upon risky choice experiments. Journal of Risk and Uncertainty, 14, 155–168. 10.1023/A:1007721327452CrossRefGoogle Scholar
Bernasconi, M, & Loomes, G (1992). Failures of the reduction principle in an ellsberg-type problem. Theory and Decision, 32, 77–100. 10.1007/BF00133629CrossRefGoogle Scholar
Bolton, GE, & Ockenfels, A (2010). Betrayal aversion: Evidence from Brazil, China, Oman, Switzerland, Turkey, and the United States: Comment. American Economic Review, 100(1), 628–633. 10.1257/aer.100.1.628CrossRefGoogle Scholar
Brown, A, & Healy, PJ (2018). Separated decisions. European Economic Review, 101, 20–34. 10.1016/j.euroecorev.2017.09.014CrossRefGoogle Scholar
Camerer, C. A. (1995). Individual decision making. In: Kagel, J. Roth, A. (Eds.), Handbook of experimental economics (Ch. 8, pp. 587–616). Princeton: Princeton University Press.CrossRefGoogle Scholar
Camerer, CF (1989). An experimental test of several generalized utility theories. Journal of Risk and Uncertainty, 2, 61–104. 10.1007/BF00055711CrossRefGoogle Scholar
Cappelen, AW, Konow, J, Sorensen, EO, & Tungodden, B (2013). Just luck: An experimental study of risk-taking and fairness. American Economic Review, 103, 1398–1413. 10.1257/aer.103.4.1398CrossRefGoogle Scholar
Cox, J, Sadiraj, V, & Schmidt, U (2014). Asymmetrically dominated choice problems, the isolation hypothesis and random incentive mechanisms. PLoS ONE, 9(3), e90742 10.1371/journal.pone.0090742CrossRefGoogle ScholarPubMed
Cox, J, Sadiraj, V, & Schmidt, U (2015). Paradoxes and mechanisms for choice under risk. Experimental Economics, 18, 215–250. 10.1007/s10683-014-9398-8CrossRefGoogle Scholar
Crockett, S., & Oprea, R. (2012). In the long run we all trade: Reference dependence in dynamic economies, working paper. Santa Barbara: University of California.Google Scholar
Cubitt, RP, Starmer, C, & Sugden, R (1998). On the validity of the random lottery incentive system. Experimental Economics, 1, 115–131. 10.1023/A:1026435508449CrossRefGoogle Scholar
Diamond, PA (1967). Cardinal welfare, individualistic ethics, and interpersonal comparison of utility: Comment. The Journal of Political Economy, 75(5), 765 10.1086/259353CrossRefGoogle Scholar
Freeman, D., Halevy, Y., & Kneeland, T. (2016). Probability list elicitation for lotteries. University of British Columbia working paper.Google Scholar
Gibbard, A (1977). Manipulation of schemes that mix voting with chance. Econometrica, 45(3), 665–681. 10.2307/1911681CrossRefGoogle Scholar
Gilboa, I, & Schmeidler, D (1995). Canonical representation of set functions. Mathematics of Operations Research, 20, 197–212. 10.1287/moor.20.1.197CrossRefGoogle Scholar
Halevy, Y (2007). Ellsberg revisited: An experimental study. Econometrica, 75(2), 503–536. 10.1111/j.1468-0262.2006.00755.xCrossRefGoogle Scholar
Harrison, G. W., & Swarthout, J. T. (2014). Experimental payment protocols and the bipolar behaviorist. Georgia State University CEEL working paper 2012–01.CrossRefGoogle Scholar
Hey, JD, & Lee, J (2005). Do subjects remember the past?. Applied Economics, 37, 9–18. 10.1080/0003684042000286124CrossRefGoogle Scholar
Hey, JD, & Lee, J (2005). Do subjects separate (or are they sophisticated)?. Experimental Economics, 8, 233–265. 10.1007/s10683-005-1465-8CrossRefGoogle Scholar
Holt, CA (1986). Preference reversals and the independence axiom. American Economic Review, 76, 508–515.Google Scholar
Kahneman, D, & Tversky, A (1979). Prospect theory: An analysis of decisions under risk. Econometrica, 47, 263–291. 10.2307/1914185CrossRefGoogle Scholar
Loomes, G (1998). Probabilities vs money: A test of some fundamental assumptions about rational decision making. Economic Journal, 108, 477–489. 10.1111/1468-0297.00299CrossRefGoogle Scholar
Loomes, G, Starmer, C, & Sugden, R (1991). Observing violations of transitivity by experimental methods. Econometrica, 59, 425–439. 10.2307/2938263CrossRefGoogle Scholar
Machina, MJ, & Schmeidler, D (1992). A more robust definition of subjective probability. Econometrica, 60(4), 745–780. 10.2307/2951565CrossRefGoogle Scholar
Quiggin, J (1982). A theory of anticipated utility. Journal of Economic Behavior and Organization, 3, 323–343. 10.1016/0167-2681(82)90008-7CrossRefGoogle Scholar
Rubinstein, A (2002). Irrational diversification in multiple decision problems. European Economic Review, 46(8), 1369–1378. 10.1016/S0014-2921(01)00186-6CrossRefGoogle Scholar
Schoemaker, PJH (1989). Preferences for information on probabilities versus prizes: The role of risk-taking attitudes. Journal of Risk and Uncertainty, 2, 37–60. 10.1007/BF00055710CrossRefGoogle Scholar
Segal, U (1990). Two-stage lotteries without the reduction axiom. Econometrica, 58(2), 349–377. 10.2307/2938207CrossRefGoogle Scholar
Snowball, D, & Brown, C (1979). Decision making involving sequential events: Some effects of disaggregated data and dispositions toward risk. Decision Sciences, 10, 527–546. 10.1111/j.1540-5915.1979.tb00045.xCrossRefGoogle Scholar
Starmer, C, & Sugden, R (1991). Does the random-lottery incentive system elicit true preferences? An experimental investigation. American Economic Review, 81, 971–978.Google Scholar
Tversky, A, & Kahneman, D (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk & Uncertainty, 5, 297–323. 10.1007/BF00122574CrossRefGoogle Scholar
Wakker, P, Erev, I, & Weber, EU (1994). Comonotonic independence: The critical test between classical and rank-dependent utility theories. Journal of Risk and Uncertainty, 9, 195–230. 10.1007/BF01064200CrossRefGoogle Scholar