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Community-Based Reasoning in Games: Salience, Rule-Following, and Counterfactuals

Author

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  • Cyril Hédoin

    (University of Reims Champagne-Ardenne, 51571 Reims, France)

Abstract
This paper develops a game-theoretic and epistemic account of a peculiar mode of practical reasoning that sustains focal points but also more general forms of rule-following behavior which I call community-based reasoning (CBR). It emphasizes the importance of counterfactuals in strategic interactions. In particular, the existence of rules does not reduce to observable behavioral patterns but also encompasses a range of counterfactual beliefs and behaviors. This feature was already at the core of Wittgenstein’s philosophical account of rule-following. On this basis, I consider the possibility that CBR may provide a rational basis for cooperation in the prisoner’s dilemma.

Suggested Citation

  • Cyril Hédoin, 2016. "Community-Based Reasoning in Games: Salience, Rule-Following, and Counterfactuals," Games, MDPI, vol. 7(4), pages 1-17, November.
  • Handle: RePEc:gam:jgames:v:7:y:2016:i:4:p:36-:d:82986
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    References listed on IDEAS

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    1. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    2. Milgrom, Paul, 1981. "An Axiomatic Characterization of Common Knowledge," Econometrica, Econometric Society, vol. 49(1), pages 219-222, January.
    3. Cubitt, Robin P. & Sugden, Robert, 2003. "Common Knowledge, Salience And Convention: A Reconstruction Of David Lewis' Game Theory," Economics and Philosophy, Cambridge University Press, vol. 19(2), pages 175-210, October.
    4. Cubitt, Robin P. & Sugden, Robert, 2014. "Common Reasoning In Games: A Lewisian Analysis Of Common Knowledge Of Rationality," Economics and Philosophy, Cambridge University Press, vol. 30(3), pages 285-329, November.
    5. Bonanno, Giacomo & Nehring, Klaus, 1998. "Assessing the truth axiom under incomplete information," Mathematical Social Sciences, Elsevier, vol. 36(1), pages 3-29, July.
    6. Oliver Board, 2006. "The Equivalence of Bayes and Causal Rationality in Games," Theory and Decision, Springer, vol. 61(1), pages 1-19, August.
    7. Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 263-300.
    8. Stalnaker, Robert, 1996. "Knowledge, Belief and Counterfactual Reasoning in Games," Economics and Philosophy, Cambridge University Press, vol. 12(2), pages 133-163, October.
    9. Hédoin, Cyril, 2014. "A Framework For Community-Based Salience: Common Knowledge, Common Understanding And Community Membership," Economics and Philosophy, Cambridge University Press, vol. 30(3), pages 365-395, November.
    10. Stalnaker, Robert, 1998. "Belief revision in games: forward and backward induction1," Mathematical Social Sciences, Elsevier, vol. 36(1), pages 31-56, July.
    11. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
    12. repec:cup:cbooks:9780521555838 is not listed on IDEAS
    13. Francesco Guala, 2016. "Understanding Institutions: The Science and Philosophy of Living Together," Economics Books, Princeton University Press, edition 1, number 10742.
    14. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, April.
    15. Samet, Dov, 1996. "Hypothetical Knowledge and Games with Perfect Information," Games and Economic Behavior, Elsevier, vol. 17(2), pages 230-251, December.
    16. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    17. Hindriks, Frank & Guala, Francesco, 2015. "Institutions, rules, and equilibria: a unified theory," Journal of Institutional Economics, Cambridge University Press, vol. 11(3), pages 459-480, September.
    18. Robert Sugden, 2002. "The evolutionary turn in game theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 8(1), pages 113-130.
    19. Cyril Hédoin & Lauren Larrouy, 2016. "Game Theory, Institutions and the Schelling-Bacharach Principle: Toward an Empirical Social Ontology," GREDEG Working Papers 2016-21, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    20. Smit, J. P. & Buekens, Filip & du Plessis, Stan, 2011. "What Is Money? An Alternative To Searle'S Institutional Facts," Economics and Philosophy, Cambridge University Press, vol. 27(1), pages 1-22, March.
    21. Faruk Gul, 1998. "A Comment on Aumann's Bayesian View," Econometrica, Econometric Society, vol. 66(4), pages 923-928, July.
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    2. Paul Weirich, 2017. "Epistemic Game Theory and Logic: Introduction," Games, MDPI, vol. 8(2), pages 1-3, March.

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    More about this item

    Keywords

    community-based reasoning; epistemic logic; game theory; rule-following; counterfactuals;
    All these keywords.

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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