IDEAS home Printed from https://ideas.repec.org/a/hom/homoec/v20y2003p257-302.html
   My bibliography  Save this article

Reflections on Equilibrium: Ideal Rationality and Analytic Decomposition of Games

Author

Listed:
  • Siegfried Berninghaus

    (Institut WIOR, Universitõt Karlsruhe, Rechenzentrum, Karlsruhe, Germany)

  • Werner G³th

    (Max Planck Institute for Research, into Economic Systems, Strategic Interaction Group, Jena, Germany)

  • Hartmut Kliemt

    (Universitõt Duisburg-Esse, Standort Duisburg, Fach Philosophie, Duisburg, Germany)

Abstract

Taking seriously the philosophical foundations of classical strategic theories of choice-making we scrutinize to what extent planning on equilibrium strategies can be justified "eductively" among rational players and how this can be utilizes to analyze games by their "game-like" sub-structures, in particular by their sub-games in the extensive and by their cells in (agent) normal form. "Material" principles of rational choice and "formal" methodological requirements of consistent theory of formation are considered and it is claimed that there can be consistent "conventions of rationality!. Which of the possible conventions will prevail and definde rationality may depend though on which of the theories of ideal rationality will be absorbed among rational agents. Once established "conventional rationality" can lead to unique solutions for strategic games.

Suggested Citation

  • Siegfried Berninghaus & Werner G³th & Hartmut Kliemt, 2003. "Reflections on Equilibrium: Ideal Rationality and Analytic Decomposition of Games," Homo Oeconomicus, Institute of SocioEconomics, vol. 20, pages 257-302.
  • Handle: RePEc:hom:homoec:v:20:y:2003:p:257-302
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    2. Martin Dufwenberg & Henk Norde & Hans Reijnierse & Stef Tijs, 2001. "The consistency principle for set-valued solutions and a new direction for normative game theory," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(1), pages 119-131, October.
    3. Canning, David, 1992. "Rationality, Computability, and Nash Equilibrium," Econometrica, Econometric Society, vol. 60(4), pages 877-888, July.
    4. 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..
    5. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    6. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58(3), pages 211-211.
    7. Werner G, th & Bezalel Peleg, 2001. "When will payoff maximization survive? An indirect evolutionary analysis," Journal of Evolutionary Economics, Springer, vol. 11(5), pages 479-499.
    8. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    9. Sugden, Robert, 1991. "Rational Choice: A Survey of Contributions from Economics and Philosophy," Economic Journal, Royal Economic Society, vol. 101(407), pages 751-785, July.
    10. 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.
    11. van Heumen, R.W.J. & Peleg, B. & Tijs, S.H. & Borm, P.E.M., 1994. "Axiomatic characterizations of solutions for Bayesian games," Other publications TiSEM b16fc7d9-aee7-4f36-95f2-3, Tilburg University, School of Economics and Management.
    12. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    13. Norde, Henk & Potters, Jos & Reijnierse, Hans & Vermeulen, Dries, 1996. "Equilibrium Selection and Consistency," Games and Economic Behavior, Elsevier, vol. 12(2), pages 219-225, February.
    14. Jørgen Jacobsen, Hans, 1996. "On the Foundations of Nash Equilibrium," Economics and Philosophy, Cambridge University Press, vol. 12(1), pages 67-88, April.
    15. Güth, Werner & Kliemt, Hartmut, 2001. "From full to bounded rationality: The limits of unlimited rationality," SFB 373 Discussion Papers 2001,12, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    16. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    17. Gode, Dhananjay K & Sunder, Shyam, 1993. "Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 119-137, February.
    18. Oskar Morgenstern, 1972. "Descriptive, Predictive And Normative Theory," Kyklos, Wiley Blackwell, vol. 25(4), pages 699-714, November.
    19. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
    20. Werner G³th & Hartmut Kliemt, 1995. "Ist die Normalform die normale Form?," Homo Oeconomicus, Institute of SocioEconomics, vol. 12, pages 155-183.
    21. Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
    22. Rustem, Berc & Velupillai, Kumaraswamy, 1990. "Rationality, computability, and complexity," Journal of Economic Dynamics and Control, Elsevier, vol. 14(2), pages 419-432, 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. Werner Güth, 2002. "On the Inconsistency of Equilibrium Refinement," Theory and Decision, Springer, vol. 53(4), pages 371-392, December.
    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. Atsushi Kajii & Stephen Morris, 2020. "Refinements and higher-order beliefs: a unified survey," The Japanese Economic Review, Springer, vol. 71(1), pages 7-34, January.
    4. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
    5. Stuart, Harborne Jr., 1997. "Common Belief of Rationality in the Finitely Repeated Prisoners' Dilemma," Games and Economic Behavior, Elsevier, vol. 19(1), pages 133-143, April.
    6. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Xiao Luo & Yi-Chun Chen, 2004. "A Unified Approach to Information, Knowledge, and Stability," Econometric Society 2004 Far Eastern Meetings 472, Econometric Society.
    8. Kliemt, Hartmut, 2011. "Bukantianism—Buchanan's philosophical economics," Journal of Economic Behavior & Organization, Elsevier, vol. 80(2), pages 275-279.
    9. Xiao Luo & Ben Wang, 2022. "An epistemic characterization of MACA," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 995-1024, June.
    10. Binmore, Ken, 2015. "Rationality," Handbook of Game Theory with Economic Applications,, Elsevier.
    11. , & , & ,, 2007. "Interim correlated rationalizability," Theoretical Economics, Econometric Society, vol. 2(1), pages 15-40, March.
    12. Abhijit Banerjee & Jörgen W. Weibull & Ken Binmore, 1996. "Evolution and Rationality: Some Recent Game-Theoretic Results," International Economic Association Series, in: Beth Allen (ed.), Economics in a Changing World, chapter 4, pages 90-117, Palgrave Macmillan.
    13. Hillas, John & Samet, Dov, 2022. "Non-Bayesian correlated equilibrium as an expression of non-Bayesian rationality," Games and Economic Behavior, Elsevier, vol. 135(C), pages 1-15.
    14. Koji Takamiya & Akira Tanaka, 2006. "Mutual Knowledge of Rationality in the Electronic Mail Game," ISER Discussion Paper 0650, Institute of Social and Economic Research, Osaka University.
    15. Christian Bach & Jérémie Cabessa, 2012. "Common knowledge and limit knowledge," Theory and Decision, Springer, vol. 73(3), pages 423-440, September.
    16. Tercieux, Olivier, 2006. "p-Best response set," Journal of Economic Theory, Elsevier, vol. 131(1), pages 45-70, November.
    17. Feinberg, Yossi, 2005. "Subjective reasoning--dynamic games," Games and Economic Behavior, Elsevier, vol. 52(1), pages 54-93, July.
    18. John Hillas & Elon Kohlberg, 1996. "Foundations of Strategic Equilibrium," Game Theory and Information 9606002, University Library of Munich, Germany, revised 18 Sep 1996.
    19. Shyam Sunder, 2001. "Knowing What Others Know: Common Knowledge, Accounting, and Capital Markets," Yale School of Management Working Papers ysm326, Yale School of Management, revised 01 Feb 2002.
    20. Shinji Yamashige, 1995. "Bayesian Approach with Finite Hierarchies of Beliefs: Bounded Rationality in Strategic Form Games," Working Papers yamashig-95-01, University of Toronto, Department of Economics.

    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:hom:homoec:v:20:y:2003:p:257-302. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/sohamde.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.