IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/1076.html

Independence for Conditional Probability Systems

Author

Listed:
  • Jeroen M. Swinkels

Abstract

It has been argues that the natural notion of independence for conditional probability systems is weaker than sequential equilibrium's consistency condition. Kohlberg and Reny(1992) provide an attractive extra condition on a conditioal probability system thatimplies equivalence to consistency. We provide an alternative condition and argue that it is a natural implication of independence. condition also implies equivalence to consistency, and so is equivalent to Kohlberg and Reny's. However, the motivation and formulation of the condition are different, providing an additional viewpoint from which to understand consistency.

Suggested Citation

  • Jeroen M. Swinkels, 1993. "Independence for Conditional Probability Systems," Discussion Papers 1076, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1076
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1076.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Carlos Pimienta, 2014. "Bayesian and consistent assessments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 601-617, April.
    2. Carlos Pimienta, 2011. "Weakly-Bayesian and Consistent Assessments," Discussion Papers 2012-02, School of Economics, The University of New South Wales.

    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. Andrés Perea & Elias Tsakas, 2019. "Limited focus in dynamic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 571-607, June.
    2. Carmona, Guilherme & Carvalho, Luís, 2016. "Repeated two-person zero-sum games with unequal discounting and private monitoring," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 131-138.
    3. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
    4. Miguel Ángel Ropero, 2021. "Entry deterrence when the potential entrant is your competitor in a different market," Southern Economic Journal, John Wiley & Sons, vol. 87(3), pages 1010-1030, January.
    5. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    6. Aron A. Gottesman, 2004. "The Strategic use of Convertible Debt in “Deep Pocket†Predatory Games," The American Economist, Sage Publications, vol. 48(1), pages 50-60, March.
    7. Chemmanur, Thomas J. & Fulghieri, Paolo, 2006. "Competition and cooperation among exchanges: A theory of cross-listing and endogenous listing standards," Journal of Financial Economics, Elsevier, vol. 82(2), pages 455-489, November.
    8. Carlos Pimienta & Jianfei Shen, 2014. "On the equivalence between (quasi-)perfect and sequential equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 395-402, May.
    9. Dobrin R. Kolev & Thomas J. Prusa, 1997. "Tariff Policy for a Monopolist Under Incomplete Information," NBER Working Papers 6090, National Bureau of Economic Research, Inc.
    10. T. Tony Ke & Jiwoong Shin & Jungju Yu, 2023. "A Model of Product Portfolio Design: Guiding Consumer Search Through Brand Positioning," Marketing Science, INFORMS, vol. 42(6), pages 1101-1124, November.
    11. Dufwenberg, Martin & Dufwenberg, Martin A., 2018. "Lies in disguise – A theoretical analysis of cheating," Journal of Economic Theory, Elsevier, vol. 175(C), pages 248-264.
    12. Dominiak, Adam & Lee, Dongwoo, 2023. "Testing rational hypotheses in signaling games," European Economic Review, Elsevier, vol. 160(C).
    13. Pedro Bó, 2007. "Social norms, cooperation and inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 89-105, January.
    14. Schaefer, Alexander, 2021. "Rationality, uncertainty, and unanimity: an epistemic critique of contractarianism," Economics and Philosophy, Cambridge University Press, vol. 37(1), pages 82-117, March.
    15. repec:eid:wpaper:58137 is not listed on IDEAS
    16. Peter A. Streufert, 2006. "Products of Several Relative Probabilities," University of Western Ontario, Departmental Research Report Series 20061, University of Western Ontario, Department of Economics.
    17. Alejandro N√∫nez Arroyo, 2018. "Information seeking with selective memory," Documentos CEDE 17131, Universidad de los Andes, Facultad de Economía, CEDE.
    18. Koessler, Frédéric & Noussair, Charles & Ziegelmeyer, Anthony, 2008. "Parimutuel betting under asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 733-744, July.
    19. Huiping Yuan & Stephen M. Miller & Langnan Chen, 2011. "The Optimality And Controllability Of Monetary Policy Through Delegation With Consistent Targets," Scottish Journal of Political Economy, Scottish Economic Society, vol. 58(1), pages 82-106, February.
    20. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2012. "Communication and Learning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 419-450.
    21. Paolo Zappalà & Amal Benhamiche & Matthieu Chardy & Francesco De Pellegrini & Rosa Figueiredo, 2025. "Analysis and Computation of the Outcomes of Pure Nash Equilibria in Two-Player Extensive-Form Games," Dynamic Games and Applications, Springer, vol. 15(3), pages 872-905, July.

    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:nwu:cmsems:1076. 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: Fran Walker The email address of this maintainer does not seem to be valid anymore. Please ask Fran Walker to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.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.