IDEAS home Printed from https://ideas.repec.org/a/wly/soecon/v72y2006i3p645-659.html
   My bibliography  Save this article

Games in Fuzzy Environments

Author

Listed:
  • Michael Aristidou
  • Sudipta Sarangi

Abstract

A noncooperative model of a normal form game is developed using tools from fuzzy set theory. The paper extends the decision theory framework of Bellman and Zadeh (1970) to a game‐theoretic setting. We identify conditions for the existence of equilibrium in this setting and provide a duopoly example. The paper also provides a review of the existing literature on noncooperative fuzzy games and their applications.

Suggested Citation

  • Michael Aristidou & Sudipta Sarangi, 2006. "Games in Fuzzy Environments," Southern Economic Journal, John Wiley & Sons, vol. 72(3), pages 645-659, January.
    • Handle: RePEc:wly:soecon:v:72:y:2006:i:3:p:645-659
    DOI: 10.1002/j.2325-8012.2006.tb00725.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/j.2325-8012.2006.tb00725.x
    Download Restriction: no
    File URL: https://libkey.io/10.1002/j.2325-8012.2006.tb00725.x?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. Chen, Hsiao-Chi & Friedman, James W. & Thisse, Jacques-Francois, 1997. "Boundedly Rational Nash Equilibrium: A Probabilistic Choice Approach," Games and Economic Behavior, Elsevier, vol. 18(1), pages 32-54, January.
    2. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
    3. James E. West & Bruce Linster, 2003. "The Evolution of Fuzzy Rules as Strategies in Two-Player Games," Southern Economic Journal, John Wiley & Sons, vol. 69(3), pages 705-717, January.
    4. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    5. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    6. Rachael Goodhue, 1998. "Sustaining Collusion Via a Fuzzy Trigger," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 13(3), pages 333-345, June.
    7. Basu, Kaushik, 1994. "The Traveler's Dilemma: Paradoxes of Rationality in Game Theory," American Economic Review, American Economic Association, vol. 84(2), pages 391-395, May.
    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. Svajone Bekesiene & Serhii Mashchenko, 2023. "On Nash Equilibria in a Finite Game for Fuzzy Sets of Strategies," Mathematics, MDPI, vol. 11(22), pages 1-12, 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. Yuval Heller & Eyal Winter, 2020. "Biased-Belief Equilibrium," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 1-40, May.
    2. Ederer, Florian & Stremitzer, Alexander, 2017. "Promises and expectations," Games and Economic Behavior, Elsevier, vol. 106(C), pages 161-178.
    3. Dufwenberg, Martin & Patel, Amrish, 2019. "Introduction to special issue on psychological game theory," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 181-184.
    4. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
    5. Jiabin Wu, 2018. "Indirect higher order beliefs and cooperation," Experimental Economics, Springer;Economic Science Association, vol. 21(4), pages 858-876, December.
    6. Yoshifumi Hino & Yusuke Zennyo, 2017. "Corporate social responsibility and strategic relationships," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 64(3), pages 231-244, September.
    7. Dietrich, Franz, 2012. "Modelling change in individual characteristics: An axiomatic framework," Games and Economic Behavior, Elsevier, vol. 76(2), pages 471-494.
    8. von Siemens, Ferdinand A., 2013. "Intention-based reciprocity and the hidden costs of control," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 55-65.
    9. Masahiko Aoki, 2013. "Institutions as cognitive media between strategic interactions and individual beliefs," Chapters, in: Comparative Institutional Analysis, chapter 17, pages 298-312, Edward Elgar Publishing.
    10. Leonardo Becchetti & Emanuele Bobbio & Federico Prizia & Lorenzo Semplici, 2022. "Going Deeper into the S of ESG: A Relational Approach to the Definition of Social Responsibility," Sustainability, MDPI, vol. 14(15), pages 1-22, August.
    11. Gary Charness & Matthew Rabin, 1999. "Social preferences: Some simple tests and a new model," Economics Working Papers 441, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 2000.
    12. Guilhem Lecouteux, 2018. "What does “we” want? Team Reasoning, Game Theory, and Unselfish Behaviours," Revue d'économie politique, Dalloz, vol. 128(3), pages 311-332.
    13. Dufwenberg, Martin & Patel, Amrish, 2017. "Reciprocity networks and the participation problem," Games and Economic Behavior, Elsevier, vol. 101(C), pages 260-272.
    14. Christian Korth, 2009. "Reciprocity—An Indirect Evolutionary Analysis," Lecture Notes in Economics and Mathematical Systems, in: Fairness in Bargaining and Markets, chapter 0, pages 35-55, Springer.
    15. Shaun P. Hargreaves Heap, 2013. "Rationality," Chapters, in: Luigino Bruni & Stefano Zamagni (ed.), Handbook on the Economics of Reciprocity and Social Enterprise, chapter 28, pages 277-284, Edward Elgar Publishing.
    16. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    17. Erik O. Kimbrough & Vernon L. Smith & Bart J. Wilson, 2008. "Historical Property Rights, Sociality, and the Emergence of Impersonal Exchange in Long-Distance Trade," American Economic Review, American Economic Association, vol. 98(3), pages 1009-1039, June.
    18. Gill, David & Stone, Rebecca, 2015. "Desert and inequity aversion in teams," Journal of Public Economics, Elsevier, vol. 123(C), pages 42-54.
    19. Ernst Fehr & Klaus M. Schmidt, "undated". "Theories of Fairness and Reciprocity - Evidence and Economic Applications," IEW - Working Papers 075, Institute for Empirical Research in Economics - University of Zurich.
    20. Dirk Sliwka, 2007. "Trust as a Signal of a Social Norm and the Hidden Costs of Incentive Schemes," American Economic Review, American Economic Association, vol. 97(3), pages 999-1012, 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:wly:soecon:v:72:y:2006:i:3:p:645-659. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)2325-8012 .

    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.