IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/1197.html

Refinements and Social Order Beliefs: A Unified Survey

Author

Listed:
  • Atsushi Kajii
  • Stephen Morris

Abstract

This paper presents a simple framework that allows us to survey and relate some different strands of the game theory literature. We describe a "canonical" way of adding incomplete information to a complete information game. This framework allows us to give a simple "complete theory" interpretation (Kreps 1990) of standard normal form refinements such as perfection, and to relate refinements both to the "higher order beliefs literature" (Rubinstein 1989; Monderer and Samet 1989; Morris, Rob and Shin, 1995; Kajii and Morris 1995) and the "payoff uncertainty approach" (Fudenberg, Kreps and Levine 1988; Dekel and Fudenberg 1990).

Suggested Citation

  • Atsushi Kajii & Stephen Morris, 1997. "Refinements and Social Order Beliefs: A Unified Survey," Discussion Papers 1197, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1197
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1197.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Drew Fudenberg & David M. Kreps & David K. Levine, 2008. "On the Robustness of Equilibrium Refinements," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 5, pages 67-93, World Scientific Publishing Co. Pte. Ltd..
    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. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
    2. , & , & , & ,, 2010. "Uniform topologies on types," Theoretical Economics, Econometric Society, vol. 5(3), September.
    3. Fabrizio Germano, 2006. "On some geometry and equivalence classes of normal form games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 561-581, November.
    4. UNO, Hiroshi, 2011. "Nested potentials and robust equilibria," LIDAM Discussion Papers CORE 2011009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Tercieux, Olivier, 2006. "p-Best response set and the robustness of equilibria to incomplete information," Games and Economic Behavior, Elsevier, vol. 56(2), pages 371-384, August.

    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. Stephen Morris & Satoru Takahashi & Olivier Tercieux, 2012. "Robust Rationalizability Under Almost Common Certainty Of Payoffs," The Japanese Economic Review, Japanese Economic Association, vol. 63(1), pages 57-67, March.
    2. Varoufakis, Yanis, 2013. "Finite dynamic games with full rationality and inconsistently aligned beliefs: Can the N-person backward induction deliver a solution?," International Journal of Development and Conflict, Gokhale Institute of Politics and Economics, vol. 3(1), pages 63-70.
    3. Fudenberg, Drew & Levine, David K., 2009. "Self-confirming equilibrium and the Lucas critique," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2354-2371, November.
    4. Suehiro, H., 1992. "A "mistaken theories" refinement," Discussion Paper 1992-24, Tilburg University, Center for Economic Research.
    5. Skyrms, Brian & Bell, Gary D. & Woodruff, Peter, 1999. "Theories of counter-factual and subjunctive conditionals in contexts of strategic interaction," Research in Economics, Elsevier, vol. 53(3), pages 275-291, September.
    6. Chen, Yi-Chun & Takahashi, Satoru & Xiong, Siyang, 2014. "The robust selection of rationalizability," Journal of Economic Theory, Elsevier, vol. 151(C), pages 448-475.
    7. Chen, Yi-Chun & Takahashi, Satoru & Xiong, Siyang, 2022. "Robust refinement of rationalizability with arbitrary payoff uncertainty," Games and Economic Behavior, Elsevier, vol. 136(C), pages 485-504.
    8. Takashi Kunimoto, 2006. "The Robustness Of Equilibrium Analysis: The Case Of Undominated Nash Equilibrium," Departmental Working Papers 2006-26, McGill University, Department of Economics.
    9. D. Abreu & D. Pearce, 1999. "A Behavioral Model of Bargaining with Endogenous Types," Princeton Economic Theory Papers 00s15, Economics Department, Princeton University.
    10. Drew Fudenberg, 2006. "Advancing Beyond Advances in Behavioral Economics," Journal of Economic Literature, American Economic Association, vol. 44(3), pages 694-711, September.
    11. David Hirshleifer & Chong Huang & Siew Hong Teoh, 2017. "Index Investing and Asset Pricing under Information Asymmetry and Ambiguity Aversion," NBER Working Papers 24143, National Bureau of Economic Research, Inc.
    12. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
    13. Suehiro, H., 1992. "A "mistaken theories" refinement," Other publications TiSEM 36cc87ee-3c13-4e91-85e0-6, Tilburg University, School of Economics and Management.
    14. Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
    15. Atsushi Kajii & Stephen Morris, 2020. "Correction to: Refinements and higher-order beliefs: a unified survey," The Japanese Economic Review, Springer, vol. 71(2), pages 351-351, April.
    16. Marek Mikolaj Kaminski, 2019. "Generalized Backward Induction: Justification for a Folk Algorithm," Games, MDPI, vol. 10(3), pages 1-25, August.
    17. D. Abreu & D. Pearce, 2000. "Bargaining, Reputation and Equilibrium Selection in Repeated Games," Princeton Economic Theory Papers 00f2, Economics Department, Princeton University.
    18. Sexton, Richard J., 1991. "Game Theory: A Review With Applications To Vertical Control In Agricultural Markets," Working Papers 225865, University of California, Davis, Department of Agricultural and Resource Economics.
    19. Jeffrey C. Ely, 2001. "Rationalizabilty and Approximate Common-Knowledge," Discussion Papers 1324, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    20. Marco Celentani, 1991. "Reputation With Deterministic Stage Games," UCLA Economics Working Papers 636, UCLA 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:nwu:cmsems:1197. 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.