IDEAS home Printed from https://ideas.repec.org/p/usi/wpaper/457.html
   My bibliography  Save this paper

Cooperation with Strategy-Dependent Uncertainty Attitude

Author

Listed:
  • Nicola Dimitri

Abstract

The paper shows that in a Prisoner’s Dilemma Knightian uncertainty, formalised by multiple priors, may entail cooperation at a generalised Nash Equilibrium. The main idea is that players may have an attitude towards uncertainty that depends upon their available strategies. In particular, if players anticipate to be sufficiently more optimistic when choosing to cooperate, than when defecting, then they may indeed cooperate. Though uncommon in economic modelling, choice-dependent uncertainty attitude formalises a behaviour which is well understood and widely accepted by cognitive psychologists, within the theory of Cognitive Dissonance.

Suggested Citation

  • Nicola Dimitri, 2005. "Cooperation with Strategy-Dependent Uncertainty Attitude," Department of Economics University of Siena 457, Department of Economics, University of Siena.
  • Handle: RePEc:usi:wpaper:457
    as

    Download full text from publisher

    File URL: http://repec.deps.unisi.it/quaderni/457.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
    2. Lo, Kin Chung, 1999. "Extensive Form Games with Uncertainty Averse Players," Games and Economic Behavior, Elsevier, vol. 28(2), pages 256-270, August.
    3. Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May.
    4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    Full references (including those not matched with items on IDEAS)

    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. Takao Asano, 2004. "Portfolio Inertia and [Epsilon]-Contaminations," ISER Discussion Paper 0610, Institute of Social and Economic Research, Osaka University.
    2. Lo, Kin Chung, 2009. "Correlated Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 144(2), pages 722-743, March.
    3. Lang, Matthias & Wambach, Achim, 2013. "The fog of fraud – Mitigating fraud by strategic ambiguity," Games and Economic Behavior, Elsevier, vol. 81(C), pages 255-275.
    4. Xiao Luo & Yi-Chun Chen, 2004. "A Unified Approach to Information, Knowledge, and Stability," Econometric Society 2004 Far Eastern Meetings 472, Econometric Society.
    5. Frank Riedel & Linda Sass, 2014. "Ellsberg games," Theory and Decision, Springer, vol. 76(4), pages 469-509, April.
    6. Jürgen Eichberger & David Kelsey, 2004. "Sequential Two-Player Games With Ambiguity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(4), pages 1229-1261, November.
    7. Lo, Kin Chung, 2002. "Correlated equilibrium under uncertainty," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 183-209, November.
    8. Asano, Takao, 2006. "Portfolio inertia under ambiguity," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 223-232, December.
    9. Jian Yang, 2015. "Game-theoretic Modeling of Players' Ambiguities on External Factors," Papers 1510.06812, arXiv.org, revised Apr 2017.
    10. repec:awi:wpaper:0469 is not listed on IDEAS
    11. Sujoy Mukerji & Jean-Marc Tallon & EUREQua & CNRS - Universite Paris I., 2003. "An overview of economic applications of David Schmeidler`s models of decision making under uncertainty," Economics Series Working Papers 165, University of Oxford, Department of Economics.
    12. Frank Riedel, 2017. "Uncertain Acts in Games," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 34(4), pages 275-292, December.
    13. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.
    14. Dominiak, Adam & Lee, Min Suk, 2017. "Coherent Dempster–Shafer equilibrium and ambiguous signals," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 42-54.
    15. Kin Chung Lo, 1998. "Epistemic Conditions for Agreement and Stochastic Independence of epsilon-Contaminated Beliefs," Working Papers 1998_02, York University, Department of Economics.
    16. Jürgen Eichberger & David Kelsey & Burkhard Schipper, 2008. "Granny Versus Game Theorist: Ambiguity in Experimental Games," Theory and Decision, Springer, vol. 64(2), pages 333-362, March.
    17. Werlang, Sérgio Ribeiro da Costa, 2000. "A notion of subgame perfect Nash equilibrium under knightian uncertainty," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 376, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    18. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.
    19. Luo, Xiao & Ma, Chenghu, 2001. "Stable equilibrium in beliefs in extensive games with perfect information," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1801-1825, November.
    20. Roman Kozhan, 2011. "Non-additive anonymous games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 215-230, May.
    21. Calford, Evan, 2016. "Mixed Strategies in Games with Ambiguity Averse Agents," MPRA Paper 74909, University Library of Munich, Germany.

    More about this item

    Keywords

    Cooperation; Cognitive Dissonance; Equilibrium; Games; Uncertainty;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:usi:wpaper:457. 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: Fabrizio Becatti (email available below). General contact details of provider: https://edirc.repec.org/data/desieit.html .

    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.