Reduction of Compound Lotteries with Objective Probabilities: Theory and Evidence
The reduction of compound lotteries (ROCL) has assumed a central role in the evaluation of behavior towards risk and uncertainty. We present experimental evidence on its validity in the domain of objective probabilities. Our experiment explicitly recognizes the impact that the random lottery incentive mechanism payment procedure may have on preferences, and so we collect data using both "1-in-1" and "1-in-K" payment procedures, where K>1. We do not find violations of ROCL when subjects are presented with only one choice that is played for money. However, when individuals are presented with many choices and random lottery incentive mechanism is used to select one choice for payoff, we do find violations of ROCL. These results are supported by both non-parametric analysis of choice patterns, as well as structural estimation of latent preferences. We find evidence that the model that best describes behavior when subjects make only one choice is the Rank-Dependent Utility model. When subjects face many choices, their behavior is better characterized by our source-dependent version of the Rank-Dependent Utility model which can account for violations of ROCL. We conclude that payment protocols can create distortions in experimental tests of basic axioms of decision theory.
|Date of creation:||Mar 2012|
|Date of revision:||Jul 2015|
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- Segal, Uzi, 1988. "Does the Preference Reversal Phenomenon Necessarily Contradict the Independence Axiom?," American Economic Review, American Economic Association, vol. 78(1), pages 233-236, March.
- Beattie, Jane & Loomes, Graham, 1997. "The Impact of Incentives upon Risky Choice Experiments," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 155-168, March.
- Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
- Segal, Uzi, 1990.
"Two-Stage Lotteries without the Reduction Axiom,"
Econometric Society, vol. 58(2), pages 349-377, March.
- Halevy, Yoram, 2005.
"Ellsberg Revisited: an Experimental Study,"
Microeconomics.ca working papers
halevy-05-07-26-11-51-13, Vancouver School of Economics, revised 25 Feb 2014.
- Loomes, Graham & Sugden, Robert, 1998. "Testing Different Stochastic Specifications of Risky Choice," Economica, London School of Economics and Political Science, vol. 65(260), pages 581-598, November.
- Karni, Edi & Safra, Zvi, 1987. ""Preference Reversal' and the Observability of Preferences by Experimental Methods," Econometrica, Econometric Society, vol. 55(3), pages 675-685, May.
- Hans Binswanger, 1980.
"Attitudes toward risk: Experimental measurement in rural india,"
Artefactual Field Experiments
00009, The Field Experiments Website.
- Hans P. Binswanger, 1980. "Attitudes Toward Risk: Experimental Measurement in Rural India," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(3), pages 395-407.
- repec:hal:journl:hal-00609214 is not listed on IDEAS
- Conlisk, John, 1989. "Three Variants on the Allais Example," American Economic Review, American Economic Association, vol. 79(3), pages 392-407, June.
- John Quiggin, 2003. "Background risk in generalized expected utility theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 607-611, October.
- Segal, Uzi, 1987.
"The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
- Uzi Segal, 1985. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," UCLA Economics Working Papers 362, UCLA Department of Economics.
- Vernon L. Smith, 1969. "Measuring Nonmonetary Utilities in Uncertain Choices: The Ellsberg Urn," The Quarterly Journal of Economics, Oxford University Press, vol. 83(2), pages 324-329.
- Robin Cubitt & Chris Starmer & Robert Sugden, 1998. "On the Validity of the Random Lottery Incentive System," Experimental Economics, Springer;Economic Science Association, vol. 1(2), pages 115-131, September.
- Grether, David M. & Plott, Charles R., "undated".
"Economic Theory of Choice and the Preference Reversal Phenomenon,"
152, California Institute of Technology, Division of the Humanities and Social Sciences.
- Grether, David M & Plott, Charles R, 1979. "Economic Theory of Choice and the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 69(4), pages 623-638, September.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- David Dillenberger, 2010. "Preferences for One‐Shot Resolution of Uncertainty and Allais‐Type Behavior," Econometrica, Econometric Society, vol. 78(6), pages 1973-2004, November.
- Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
- Holt, Charles A, 1986. "Preference Reversals and the Independence Axiom," American Economic Review, American Economic Association, vol. 76(3), pages 508-515, June.
- Kaivanto, Kim & Kroll, Eike B., 2012.
"Negative recency, randomization device choice, and reduction of compound lotteries,"
Elsevier, vol. 115(2), pages 263-267.
- Kaivanto, Kim & Kroll, Eike Benjamin, 2011. "Negative recency, randomization device choice, and reduction of compound lotteries," Working Paper Series in Economics 22, Karlsruhe Institute of Technology (KIT), Department of Economics and Business Engineering.
- Starmer, Chris & Sugden, Robert, 1991. "Does the Random-Lottery Incentive System Elicit True Preferences? An Experimental Investigation," American Economic Review, American Economic Association, vol. 81(4), pages 971-978, September.
- Mohammed Abdellaoui & Laetitia Placido & Aurélien Baillon & P.P. Wakker, 2011.
"The Rich Domain of Uncertainty: Source Functions and Their Experimental Implementation,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
- Mohammed Abdellaoui & Aurelien Baillon & Laetitia Placido & Peter P. Wakker, 2011. "The Rich Domain of Uncertainty: Source Functions and Their Experimental Implementation," American Economic Review, American Economic Association, vol. 101(2), pages 695-723, April.
- EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994.
"Changes in Background Risk and Risk Taking Behavior,"
005, Risk and Insurance Archive.
- Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-689, May.
- Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
- Glenn Harrison & John List & Charles Towe, 2004.
"Naturally occurring preferences and exogenous laboratory experiments: A case study of risk aversion,"
Framed Field Experiments
00155, The Field Experiments Website.
- Glenn W Harrison & John A List & Charles Towe, 2007. "Naturally Occurring Preferences and Exogenous Laboratory Experiments: A Case Study of Risk Aversion," Econometrica, Econometric Society, vol. 75(2), pages 433-458, 03.
- repec:feb:framed:0074 is not listed on IDEAS
- Cox, James C. & Sadiraj, Vjollca & Schmidt, Ulrich, 2011.
"Paradoxes and mechanisms for choice under risk,"
Kiel Working Papers
1712, Kiel Institute for the World Economy (IfW).
- James C. Cox & Vjollca Sadiraj & Ulrich Schmidt, 2011. "Paradoxes and Mechanisms for Choice under Risk," Experimental Economics Center Working Paper Series 2011-07, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University, revised Mar 2014.
- Harless, David W., 1992. "Predictions about indifference curves inside the unit triangle : A test of variants of expected utility theory," Journal of Economic Behavior & Organization, Elsevier, vol. 18(3), pages 391-414, August.
- Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, Oxford University Press, vol. 75(4), pages 643-669.
- Glenn Harrison & J. Swarthout, 2014. "Experimental payment protocols and the Bipolar Behaviorist," Theory and Decision, Springer, vol. 77(3), pages 423-438, October.
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