IDEAS home Printed from https://ideas.repec.org/p/swe/wpaper/2009-13.html
   My bibliography  Save this paper

Bayesian and Consistent Assessments

Author

Listed:
  • Carlos Pimienta

    (School of Economics, The University of New South Wales)

Abstract

In a Bayesian assessment beliefs are computed from the strategy profile following Bayes’ rule at positive probability information sets and for every subgame. We characterize the set of extensive-forms (extensive-form games without a payoff assignment) for which the sets of Bayesian assessments and consistent assessments coincide. In doing so we disentangle the different restrictions imposed by consistency across information sets.

Suggested Citation

  • Carlos Pimienta, 2009. "Bayesian and Consistent Assessments," Discussion Papers 2009-13, School of Economics, The University of New South Wales.
    • Handle: RePEc:swe:wpaper:2009-13
    as

    Download full text from publisher

    File URL: http://research.economics.unsw.edu.au/RePEc/papers/2009-13.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    2. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    3. Carlos Alós-Ferrer & Klaus Ritzberger, 2013. "Large extensive form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 75-102, January.
    4. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-1390, November.
    5. Perea, Andres, 2002. "A note on the one-deviation property in extensive form games," Games and Economic Behavior, Elsevier, vol. 40(2), pages 322-338, August.
    6. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
    7. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    8. Ritzberger, Klaus, 2002. "Foundations of Non-Cooperative Game Theory," OUP Catalogue, Oxford University Press, number 9780199247868.
    9. Perea y Monsuwe, Andres & Jansen, Mathijs & Peters, Hans, 1997. "Characterization of Consistent Assessments in Extensive Form Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 238-252, October.
    10. Jeroen M. Swinkels, 1993. "Independence for Conditional Probability Systems," Discussion Papers 1076, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    12. Kohlberg, Elon & Reny, Philip J., 1997. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees," Journal of Economic Theory, Elsevier, vol. 75(2), pages 280-313, August.
    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. Carlos Pimienta, 2011. "Weakly-Bayesian and Consistent Assessments," Discussion Papers 2012-02, School of Economics, The University of New South Wales.
    2. Giacomo Bonanno, 2016. "Exploring the Gap between Perfect Bayesian Equilibrium and Sequential Equilibrium," Games, MDPI, vol. 7(4), pages 1-23, November.
    3. Giacomo Bonanno, 2011. "Perfect Bayesian equilibrium. Part II: epistemic foundations," Working Papers 111, University of California, Davis, Department of Economics.
    4. Giacomo Bonanno, 2013. "AGM-consistency and perfect Bayesian equilibrium. Part I: definition and properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 567-592, August.
    5. Giacomo Bonanno, 2016. "AGM-consistency and perfect Bayesian equilibrium. Part II: from PBE to sequential equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1071-1094, November.
    6. Xiao Luo & Xuewen Qian & Yang Sun, 2021. "The algebraic geometry of perfect and sequential equilibrium: an extension," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 579-601, March.
    7. Giacomo Bonanno, 2009. "A characterization of sequential equilibrium in terms of AGM belief revision," Working Papers 914, University of California, Davis, Department of Economics.
    8. Giacomo Bonanno, 2009. "A characterization of sequential equilibrium in terms of AGM belief revision," Working Papers 33, University of California, Davis, Department of Economics.
    9. Giacomo Bonanno, 2011. "Perfect Bayesian equilibrium. Part II: epistemic foundations," Working Papers 302, University of California, Davis, Department of Economics.
    10. Giacomo Bonanno, 2016. "AGM-consistency and perfect Bayesian equilibrium. Part II: from PBE to sequential equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1071-1094, November.
    11. Balkenborg Dieter & Kuzmics Christoph & Hofbauer Josef, 2019. "The Refined Best Reply Correspondence and Backward Induction," German Economic Review, De Gruyter, vol. 20(1), pages 52-66, February.
    12. Burkhard Schipper, 2014. "AGM-consistency and perfect Bayesian equilibrium. Part II: from PBE to sequential equilibrium," Working Papers 83, University of California, Davis, Department of Economics.
    13. Giacomo Bonanno, 2016. "Exploring the Gap between Perfect Bayesian Equilibrium and Sequential Equilibrium," Games, MDPI, Open Access Journal, vol. 7(4), pages 1-23, November.
    14. Giacomo Bonanno, 2013. "AGM-consistency and perfect Bayesian equilibrium. Part I: definition and properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 567-592, August.
    15. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2009. "The Refined Best-Response Correspondence and Backward Induction," Levine's Working Paper Archive 814577000000000248, David K. Levine.
    16. Carlos Alós-Ferrer & Klaus Ritzberger, 2020. "Reduced normal forms are not extensive forms," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 281-288, October.
    17. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
    18. Streufert, Peter A., 2015. "An elementary proof that additive i-likelihood characterizes the supports of consistent assessments," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 37-46.
    19. Peter A. Streufert, 2006. "Characterizing Consistency by Monomials and by Product Dispersions," University of Western Ontario, Departmental Research Report Series 20062, University of Western Ontario, Department of Economics.
    20. Takahashi, Satoru & Tercieux, Olivier, 2020. "Robust equilibrium outcomes in sequential games under almost common certainty of payoffs," Journal of Economic Theory, Elsevier, vol. 188(C).

    More about this item

    Keywords

    Backwards induction; Bayesian assessments; Consistent assessments; Sequential equilibrium; Extensive-forms;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:swe:wpaper:2009-13. 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: Hongyi Li (email available below). General contact details of provider: https://edirc.repec.org/data/senswau.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.