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From Classical To Epistemic Game Theory

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  • ANDRÉS PEREA

    (EpiCenter & Department of Quantitative Economics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

Abstract

In this paper, we give a historical overview of the transition from classical game theory to epistemic game theory. To that purpose we will discuss how important notions such as reasoning about the opponents, belief hierarchies, common belief, and the concept of common belief in rationality arose, and gradually entered the game theoretic picture, thereby giving birth to the field of epistemic game theory. We will also address the question why it took game theory so long before it finally incorporated the natural aspect of "reasoning" into its analysis. To answer the latter question we will have a close look at the earliest results in game theory, and see how they shaped our approach to game theory for many years to come.

Suggested Citation

  • Andrés Perea, 2014. "From Classical To Epistemic Game Theory," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 1-22.
    • Handle: RePEc:wsi:igtrxx:v:16:y:2014:i:01:n:s0219198914400015
    DOI: 10.1142/S0219198914400015
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    References listed on IDEAS

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    1. Perea,Andrés, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107401396.
    2. Perea,Andrés, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107008915.
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    Citations

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    Cited by:

    1. Lauren Larrouy & Guilhem Lecouteux, 2017. "Mindreading and endogenous beliefs in games," Journal of Economic Methodology, Taylor & Francis Journals, vol. 24(3), pages 318-343, July.
    2. Guilhem Lecouteux, 2018. "Bayesian game theorists and non-Bayesian players," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 25(6), pages 1420-1454, November.
    3. Kokkala, Juho & Poropudas, Jirka & Virtanen, Kai, 2015. "Rationalizable Strategies in Games With Incomplete Preferences," MPRA Paper 68331, University Library of Munich, Germany.
    4. Juho Kokkala & Kimmo Berg & Kai Virtanen & Jirka Poropudas, 2019. "Rationalizable strategies in games with incomplete preferences," Theory and Decision, Springer, vol. 86(2), pages 185-204, March.
    5. Arnaud Wolff, 2019. "On the Function of Beliefs in Strategic Social Interactions," Working Papers of BETA 2019-41, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    6. 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.
    7. Daniel Read, 2020. "The five games of Mr Edgar Allan Poe: A study of strategic thought in ‘The Purloined Letter’," Rationality and Society, , vol. 32(4), pages 369-401, November.

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    More about this item

    Keywords

    Epistemic game theory; history; reasoning; belief hierarchies; common belief; common belief in rationality; C72;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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