IDEAS home Printed from https://ideas.repec.org/p/wop/safire/97-08-072e.html

Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction, and Random Matching

Author

Listed:
  • Stephen Morris

Abstract

Incomplete information, local interaction, and random matching games all share a common structure. A type or player interacts with various subsets of the set of all types/players. A type/player's total payoff is additive in the payoffs from these various interactions. This paper describes a general class of interaction games and shows how each of these three classes of games can be understood as special cases. Techniques and results from the incomplete information literature are translated into this more general framework; as a by-product, it is possible to give a complete characterization of equilibria robust to incomplete information (in the sense of Kajii and Morris [1995]) in many player binary action coordination games. Only equilibria that are robust in this sense [1] can spread contagiously and [2] are uninvadable under best response dynamics in a local interaction system. A companion paper, Morris [1997], uses these techniques to characterize features of local interaction systems that allow contagion.

Suggested Citation

  • Stephen Morris, 1997. "Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction, and Random Matching," Research in Economics 97-08-072e, Santa Fe Institute.
    • Handle: RePEc:wop:safire:97-08-072e
    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
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

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


    Cited by:

    1. William H. Sandholm, 1998. "History-Independent Prediction In Evolutionary Game Theory," Rationality and Society, , vol. 10(3), pages 303-326, August.
    2. repec:osf:socarx:ymzrd_v1 is not listed on IDEAS
    3. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    4. Andrew Koh & Ricky Li & Kei Uzui, 2024. "Inertial Coordination Games," Papers 2409.08145, arXiv.org, revised Aug 2025.
    5. Ianni, Antonella & Corradi, Valentina, 2000. "Consensus, contagion and clustering in a space-time model of public opinion formation," Discussion Paper Series In Economics And Econometrics 0009, Economics Division, School of Social Sciences, University of Southampton.
    6. Zamagni, Stefano, 2000. "Economic reductionism as a hindrance to the analysis of structural change: scattered notes," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 197-208, July.
    7. Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
    8. Ulrich Horst & Jos´e A. Scheinkman, 2006. "A Limit Theorem for Systems of Social Interactions," Levine's Bibliography 321307000000000177, UCLA Department of Economics.
    9. Stephen Morris & Hyun Song Shin, 2003. "Heterogeneity and Uniqueness in Interaction Games," Cowles Foundation Discussion Papers 1402, Cowles Foundation for Research in Economics, Yale University.
    10. Kets, Willemien & Kager, Wouter & Sandroni, Alvaro, 2022. "The value of a coordination game," Journal of Economic Theory, Elsevier, vol. 201(C).
    11. Antoine Billot, 2009. "How to shake the invisible hand (when Robinson meets Friday)," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(3), pages 257-270, September.
    12. Sawa, Ryoji, 2014. "Coalitional stochastic stability in games, networks and markets," Games and Economic Behavior, Elsevier, vol. 88(C), pages 90-111.
    13. Robin Mason & Akos Valentinyi, 2003. "Independence, Heterogeneity and Uniqueness in Interaction Games," CERS-IE WORKING PAPERS 0303, Institute of Economics, Centre for Economic and Regional Studies.
    14. Atsushi Kajii & Stephen Morris, 2020. "Correction to: Notes on “refinements and higher order beliefs”," The Japanese Economic Review, Springer, vol. 71(2), pages 353-354, April.
    15. Oyama, Daisuke & Takahashi, Satoru, 2015. "Contagion and uninvadability in local interaction games: The bilingual game and general supermodular games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 100-127.
    16. Horst, Ulrich & Scheinkman, José A., 2009. "A limit theorem for systems of social interactions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 609-623, September.

    More about this item

    Keywords

    ;
    ;

    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:wop:safire:97-08-072e. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Thomas Krichel (email available below). General contact details of provider: https://edirc.repec.org/data/epstfus.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.