IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/9610008.html
   My bibliography  Save this paper

Common Priors and Markov Chains

Author

Listed:
  • Dov Samet

    (Faculty of Mnangement Tel Aviv University)

Abstract

The type function of an agent, in a type space, associates with each state a probability distribution on the type space. Thus, a type function can be considered as a Markov chain on the state space. A common prior for the space turns out to be a probability distribution which is invariant under the type functions of all agents. Using the Markovian structure of type spaces we show that a necessary and sufficient condition for the existence of a common prior is that for each random variable it is common knowledge that all its joint averagings converge to the same value.

Suggested Citation

  • Dov Samet, 1996. "Common Priors and Markov Chains," Game Theory and Information 9610008, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:9610008
    Note: Type of Document - postscript; prepared on unix; pages: 8
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9610/9610008.ps.gz
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9610/9610008.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    2. Giacomo Bonanno & Klaus Nehring, "undated". "Fundamental Agreement: A New Foundation For The Harsanyi Doctrine," Department of Economics 96-02, California Davis - Department of Economics.
    3. Morris, Stephen, 1994. "Trade with Heterogeneous Prior Beliefs and Asymmetric Information," Econometrica, Econometric Society, vol. 62(6), pages 1327-1347, November.
    4. Giacomo Bonanno & Klaus Nehring, "undated". "Fundamental Agreement: A New Foundation For The Harsanyi Doctrine," Department of Economics 96-02, California Davis - Department of Economics.
    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. Matthew O. Jackson & Ehud Kalai & Rann Smorodinsky, 1997. "Patterns, Types, and Bayesian Learning," Game Theory and Information 9711002, University Library of Munich, Germany.
    2. Dov Samet, 1996. "Looking Backwards, Looking Inwards: Priors and Introspection," Game Theory and Information 9610007, University Library of Munich, Germany.
    3. Matthew O. Jackson & Ehud Kalai & Rann Smorodinsky, 1999. "Bayesian Representation of Stochastic Processes under Learning: de Finetti Revisited," Econometrica, Econometric Society, vol. 67(4), pages 875-894, July.

    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. , & ,, 2011. "Agreeing to agree," Theoretical Economics, Econometric Society, vol. 6(2), May.
    2. Samet, Dov, 1998. "Common Priors and Separation of Convex Sets," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 172-174, July.
    3. Galanis, Spyros, 2013. "Trade and the value of information under unawareness," Discussion Paper Series In Economics And Econometrics 1313, Economics Division, School of Social Sciences, University of Southampton.
    4. Atsushi Kajii & Takashi Ui, 2004. "Trade with Heterogeneous Multiple Priors," KIER Working Papers 582, Kyoto University, Institute of Economic Research.
    5. Ngai-Ching Wong & Man-Chung Ng, 2004. "The No Trade Principle in General Environments," Econometric Society 2004 Far Eastern Meetings 630, Econometric Society.
    6. Klaus Nehring, 2003. "Common Priors For Like-Minded Agents," Economics Working Papers 0035, Institute for Advanced Study, School of Social Science.
    7. Galanis, Spyros, 2018. "Speculation under unawareness," Games and Economic Behavior, Elsevier, vol. 109(C), pages 598-615.
    8. Lehrer, Ehud & Samet, Dov, 2014. "Belief consistency and trade consistency," Games and Economic Behavior, Elsevier, vol. 83(C), pages 165-177.
    9. Elchanan Ben-Porath, 2007. "Trade with Heterogeneous Beliefs," Discussion Paper Series dp462, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    10. Angrisani Marco & Guarino Antonio & Huck Steffen & Larson Nathan C, 2011. "No-Trade in the Laboratory," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-58, April.
    11. Jackson, William III & Nandakumar, Purushottaman & Roth, Aleda V., 2003. "Market structure, consumer banking, and optimal level of service quality," Review of Financial Economics, Elsevier, vol. 12(1), pages 49-63.
    12. Martin Shubik, 1980. "Perfect or Robust Noncooperative Equilibrium: A Search for the Philosophers Stone?," Cowles Foundation Discussion Papers 559, Cowles Foundation for Research in Economics, Yale University.
    13. ,, 2011. "Manipulative auction design," Theoretical Economics, Econometric Society, vol. 6(2), May.
    14. Jorge M. Streb & Gustavo Torrens, 2011. "Meaningful talk," CEMA Working Papers: Serie Documentos de Trabajo. 443, Universidad del CEMA, revised May 2017.
    15. Bagwell, Kyle & Wolinsky, Asher, 2002. "Game theory and industrial organization," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 49, pages 1851-1895, Elsevier.
    16. Koray, Semih & Saglam, Ismail, 1997. "Justifiability of Bayesian Implementation in Oligopolistic Markets," MPRA Paper 4459, University Library of Munich, Germany.
    17. Carrillo, Juan D. & Palfrey, Thomas R., 2011. "No trade," Games and Economic Behavior, Elsevier, vol. 71(1), pages 66-87, January.
    18. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-1063, September.
    19. Pierpaolo Battigalli, 2006. "Rationalization In Signaling Games: Theory And Applications," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 67-93.
    20. Qin, Cheng-Zhong & Yang, Chun-Lei, 2009. "An Explicit Approach to Modeling Finite-Order Type Spaces and Applications," University of California at Santa Barbara, Economics Working Paper Series qt8hq7j89k, Department of Economics, UC Santa Barbara.

    More about this item

    Keywords

    Type spaces; prior; common prior; Markov chain;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    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:wpa:wuwpga:9610008. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.