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Logique épistémique et théorie des jeux

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  • Bernard Walliser

Abstract

[eng] Epistemic logic and game theory. . Epistemic logic and game theory study agents knowledge as constituted of either propositions or events, but their frameworks are nevertheless strongly related. If the second allows probabilized knowledge, the first one allows weakened knowledge, each original dimension of one being now integrated by the other. Each approach is able to formalize the multilevel crossed knowledge between agents and stresses the fundamental concept of common knowledge. Both express that a knowledge structure is more infor-mative than another and describe the updating of knowledge when new information is available. But game theory is until now the only one which considers action rules for the agents in order to study the effects of knowledge on individual behavior and global equilibria. [fre] Logique épistémique et théorie des jeux. . La logique épistémique et la théorie des jeux étudient les connaissances des agents en les faisant porter respectivement sur des propositions et sur des événements, mais leurs cadres d'analyse peuvent être mis en correspondance. Si la seconde permet de formaliser des connaissances probabilisées, la première permet d'axiomatiser des connaissances affaiblies, chaque dimension originale de l'une étant actuellement intégrée par l'autre. Les deux approches rendent compte de l'idée de connaissances croisées à niveaux multiples entre acteurs, et donnent corps à la notion devenue centrale de connaissance commune. L'une et l'autre permettent d'exprimer qu'une structure de connaissance est plus informative qu'une autre et de décrire la révision d'une telle structure en cas d'information nouvelle. La théorie des jeux est toutefois seule à associer aux règles de connaissance des principes d'action et à étudier l'influence des connaissances sur les comportements individuels et les équilibres globaux.

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  • Bernard Walliser, 1991. "Logique épistémique et théorie des jeux," Revue Économique, Programme National Persée, vol. 42(5), pages 801-832.
    • Handle: RePEc:prs:reveco:reco_0035-2764_1991_num_42_5_409311
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    References listed on IDEAS

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    1. Brandenburger, Adam & Dekel, Eddie & Geanakoplos, John, 1992. "Correlated equilibrium with generalized information structures," Games and Economic Behavior, Elsevier, vol. 4(2), pages 182-201, April.
    2. Samet, Dov, 1990. "Ignoring ignorance and agreeing to disagree," Journal of Economic Theory, Elsevier, vol. 52(1), pages 190-207, October.
    3. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August.
    4. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    5. Milgrom, Paul, 1981. "An Axiomatic Characterization of Common Knowledge," Econometrica, Econometric Society, vol. 49(1), pages 219-222, January.
    6. MERTENS, Jean-François & ZAMIR, Shmuel, 1985. "Formulation of Bayesian analysis for games with incomplete information," LIDAM Reprints CORE 608, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Adam Brandenburger & Eddie Dekel, 2014. "Rationalizability and Correlated Equilibria," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 3, pages 43-57, World Scientific Publishing Co. Pte. Ltd..
    8. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    9. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-391, June.
    10. McKelvey, Richard D & Page, Talbot, 1986. "Common Knowledge, Consensus, and Aggregate Information," Econometrica, Econometric Society, vol. 54(1), pages 109-127, January.
    11. Rubinstein, Ariel & Wolinsky, Asher, 1990. "On the logic of "agreeing to disagree" type results," Journal of Economic Theory, Elsevier, vol. 51(1), pages 184-193, June.
    12. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    13. Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
    14. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1982. "We can't disagree forever," Journal of Economic Theory, Elsevier, vol. 28(1), pages 192-200, October.
    15. Brandenburger, Adam & Dekel, Eddie, 1987. "Common knowledge with probability 1," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 237-245, June.
    16. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
    17. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    18. Bernheim, B Douglas, 1986. " Axiomatic Characterizations of Rational Choice in Strategic Environme nts," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(3), pages 473-488.
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