IDEAS home Printed from https://ideas.repec.org/a/sae/ratsoc/v5y1993i1p85-106.html
   My bibliography  Save this article

Gambling in a Malthusian Universe

Author

Listed:
  • GREGORY B. POLLOCK

    (Northwestern University and Arizona State University)

  • KEITH A. LEWIS

    (Metropolitan Life)

Abstract

Prospect choice is generally viewed as a game against nature. This article models prospect choice as an n- person game where each subject assumes that n- 1 others will be exposed to the same decision problem (prospect choice set) as self; the goal is not to “beat nature†but to do relatively better than rivals exposed to the same problem. Preference becomes strategy choice in n- person Nash equilibrium. When symmetric pure strategy equilibria do not exist, choice is a symmetric randomized equilibrium; here, uncertainty (probabilistic response) becomes a method of dealing with uncertainty in nature. The approach produces, qualitatively, several empirical expected utility paradoxes (the certainty effect, intransitive cycles, and one form of reflection), and an evolutionary game-theoretic extension accounts for all the phenomena revealed by the research of Kahneman and Tversky.

Suggested Citation

  • Gregory B. Pollock & Keith A. Lewis, 1993. "Gambling in a Malthusian Universe," Rationality and Society, , vol. 5(1), pages 85-106, January.
  • Handle: RePEc:sae:ratsoc:v:5:y:1993:i:1:p:85-106
    DOI: 10.1177/1043463193005001008
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1043463193005001008
    Download Restriction: no

    File URL: https://libkey.io/10.1177/1043463193005001008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Pommerehne, Werner W & Schneider, Friedrich & Zweifel, Peter, 1982. "Economic Theory of Choice and the Preference Reversal Phenomenon: A Reexamination," American Economic Review, American Economic Association, vol. 72(3), pages 569-574, June.
    2. Myerson, Roger B. & Pollock, Gregory B. & Swinkels, Jeroen M., 1991. "Viscous population equilibria," Games and Economic Behavior, Elsevier, vol. 3(1), pages 101-109, February.
    3. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    4. John C. Hershey & Howard C. Kunreuther & Paul J. H. Schoemaker, 1982. "Sources of Bias in Assessment Procedures for Utility Functions," Management Science, INFORMS, vol. 28(8), pages 936-954, August.
    5. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    6. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    7. Luce, R. Duncan, 1991. "Rank- and sign-dependent linear utility models for binary gambles," Journal of Economic Theory, Elsevier, vol. 53(1), pages 75-100, February.
    8. 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.
    9. Loomes, Graham & Sugden, Robert, 1983. "A Rationale for Preference Reversal," American Economic Review, American Economic Association, vol. 73(3), pages 428-432, June.
    10. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    11. Reilly, Robert J, 1982. "Preference Reversal: Further Evidence and Some Suggested Modifications in Experimental Design," American Economic Review, American Economic Association, vol. 72(3), pages 576-584, June.
    12. Schoemaker, Paul J H, 1982. "The Expected Utility Model: Its Variants, Purposes, Evidence and Limitations," Journal of Economic Literature, American Economic Association, vol. 20(2), pages 529-563, June.
    13. Battalio, Raymond C & Kagel, John H & MacDonald, Don N, 1985. "Animals' Choices over Uncertain Outcomes: Some Initial Experimental Results," American Economic Review, American Economic Association, vol. 75(4), pages 597-613, September.
    14. Slovic, Paul & Lichtenstein, Sarah, 1983. "Preference Reversals: A Broader Perspective," American Economic Review, American Economic Association, vol. 73(4), pages 596-605, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Karl H. Schlag & Gregory B. Pollock, 1999. "Social Roles As An Effective Learning Mechanism," Rationality and Society, , vol. 11(4), pages 371-397, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marc Willinger, 1990. "La rénovation des fondements de l'utilité et du risque," Revue Économique, Programme National Persée, vol. 41(1), pages 5-48.
    2. Bruno S. Frey & Reiner Eichenberger, 1989. "Should Social Scientists Care about Choice Anomalies?," Rationality and Society, , vol. 1(1), pages 101-122, July.
    3. William S. Neilson, 1993. "An Expected Utility-User's Guide to Nonexpected Utility Experiments," Eastern Economic Journal, Eastern Economic Association, vol. 19(3), pages 257-274, Summer.
    4. Battalio, Raymond C & Kagel, John H & Jiranyakul, Komain, 1990. "Testing between Alternative Models of Choice under Uncertainty: Some Initial Results," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 25-50, March.
    5. Weber, Elke U., 1989. "A Behavioral Approach To Decision Making Under Uncertainty: Implications And Lessons For Expected Utility Theory," 1989 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk Meeting, April 9-12, 1989, Sanibel Island, Florida 271520, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    6. Yoram Amiel & Frank Cowell & Liema Davidovitz & Avraham Polovin, 2008. "Preference reversals and the analysis of income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 305-330, February.
    7. Adrian Bruhin & Maha Manai & Luís Santos-Pinto, 2022. "Risk and rationality: The relative importance of probability weighting and choice set dependence," Journal of Risk and Uncertainty, Springer, vol. 65(2), pages 139-184, October.
    8. Han Bleichrodt & Peter P. Wakker, 2015. "Regret Theory: A Bold Alternative to the Alternatives," Economic Journal, Royal Economic Society, vol. 0(583), pages 493-532, March.
    9. Hela Maafi, 2011. "Preference Reversals Under Ambiguity," Management Science, INFORMS, vol. 57(11), pages 2054-2066, November.
    10. Drew Fudenberg & David K. Levine & Zacharias Maniadis, 2012. "On the Robustness of Anchoring Effects in WTP and WTA Experiments," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 131-145, May.
    11. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    12. Michal Skořepa, 2007. "Zpochybnění deskriptivnosti teorie očekávaného užitku [Doubts about the descriptive validity of the expected utility theory]," Politická ekonomie, Prague University of Economics and Business, vol. 2007(1), pages 106-120.
    13. William C. McDaniel & Francis Sistrunk, 1991. "Management Dilemmas and Decisions," Journal of Conflict Resolution, Peace Science Society (International), vol. 35(1), pages 21-42, March.
    14. repec:cup:judgdm:v:16:y:2021:i:6:p:1324-1369 is not listed on IDEAS
    15. D.J. Butler, 1990. "Experimental Techniques in Economics: Some lessons to date," Economics Discussion / Working Papers 90-22, The University of Western Australia, Department of Economics.
    16. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2012. "Salience Theory of Choice Under Risk," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1243-1285.
    17. Eike B. Kroll & Bodo Vogt, 2008. "The Relevance of Irrelevant Alternatives: An experimental investigation of risky choices," FEMM Working Papers 08028, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    18. Harrison, Glenn W, 1994. "Expected Utility Theory and the Experimentalists," Empirical Economics, Springer, vol. 19(2), pages 223-253.
    19. Andrea C. Hupman & Jay Simon, 2023. "The Legacy of Peter Fishburn: Foundational Work and Lasting Impact," Decision Analysis, INFORMS, vol. 20(1), pages 1-15, March.
    20. Adrian Bruhin & Maha Manai & Luis Santos-Pinto, 2018. "Risk and Rationality:The Relative Importance of Probability Weighting and Choice Set Dependence," Cahiers de Recherches Economiques du Département d'économie 18.04, Université de Lausanne, Faculté des HEC, Département d’économie.
    21. James Cox & Vjollca Sadiraj & Ulrich Schmidt, 2015. "Paradoxes and mechanisms for choice under risk," Experimental Economics, Springer;Economic Science Association, vol. 18(2), pages 215-250, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:ratsoc:v:5:y:1993:i:1:p:85-106. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.