IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/9604001.html
   My bibliography  Save this paper

Communication, Risk and Efficiency in Games

Author

Listed:
  • Andreas Blume

    (Univ. of Iowa)

Abstract

This paper studies the evolution of effective pre-play communication in games where a single communication round precedes a simultaneous-move, complete-information game. The paper identifies stable outcomes under population learning dynamics in which individuals with some probability replace their current strategy with a best reply against beliefs supported on a sample of currently used strategies. It is shown that under these conditions the effectiveness of one-sided pre-play communication is inversely related to risk in the underlying game, and to the size of the message space. Multi-sided communication can be shown to be more effective than one-sided communication; i.e., risk and the size of the message space play no role. This requires that all players communicate, have the same preferred equilibrium and messages have some small a priori information content that identifies message profiles that signal agreement on a strict equilibrium in the underlying game.

Suggested Citation

  • Andreas Blume, 1996. "Communication, Risk and Efficiency in Games," Game Theory and Information 9604001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:9604001
    Note: Zipped using PKZIP v2.04, encoded using UUENCODE v5.15. Zipped file includes 1 file -- ui9603.wpa (Latex, 39 pages);
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9604/9604001.pdf
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9604/9604001.tex
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9604/9604001.ps.gz
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    3. Hurkens, Sjaak, 1996. "Multi-sided Pre-play Communication by Burning Money," Journal of Economic Theory, Elsevier, vol. 69(1), pages 186-197, April.
    4. Warneryd, Karl, 1991. "Evolutionary stability in unanimity games with cheap talk," Economics Letters, Elsevier, vol. 36(4), pages 375-378, August.
    5. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    6. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
    7. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-1399, November.
    8. Blume Andreas & Kim Yong-Gwan & Sobel Joel, 1993. "Evolutionary Stability in Games of Communication," Games and Economic Behavior, Elsevier, vol. 5(4), pages 547-575, October.
    9. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1992. "Communication in Coordination Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 739-771.
    10. Van Huyck, John B. & Gillette, Ann B. & Battalio, Raymond C., 1992. "Credible assignments in coordination games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 606-626, October.
    11. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    12. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
    13. Farrell, Joseph, 1988. "Communication, coordination and Nash equilibrium," Economics Letters, Elsevier, vol. 27(3), pages 209-214.
    14. Ben-Porath, Elchanan & Dekel, Eddie, 1992. "Signaling future actions and the potential for sacrifice," Journal of Economic Theory, Elsevier, vol. 57(1), pages 36-51.
    15. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    16. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    17. Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September.
    18. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    19. van Damme, Eric, 1989. "Stable equilibria and forward induction," Journal of Economic Theory, Elsevier, vol. 48(2), pages 476-496, August.
    20. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August.
    21. Joseph Farrell & Matthew Rabin, 1996. "Cheap Talk," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 103-118, Summer.
    22. Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-1193, September.
    23. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
    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. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.
    2. Kenichi Amaya, 2004. "An Evolutionary Analysis of Pre-Play Communication and Efficiency in Games," Discussion Paper Series 165, Research Institute for Economics & Business Administration, Kobe University.
    3. Heller, Yuval & Kuzmics, Christoph, 2024. "Communication, renegotiation and coordination with private values," Games and Economic Behavior, Elsevier, vol. 143(C), pages 51-76.
    4. William H. Sandholm, 1998. "History-Independent Prediction In Evolutionary Game Theory," Rationality and Society, , vol. 10(3), pages 303-326, August.
    5. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    6. Andreas Blume & Peter H. Kriss & Roberto A. Weber, 2017. "Pre-play communication with forgone costly messages: experimental evidence on forward induction," Experimental Economics, Springer;Economic Science Association, vol. 20(2), pages 368-395, June.
    7. Shota Fujishima, 2015. "The emergence of cooperation through leadership," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 17-36, February.
    8. Vyrastekova, J., 2002. "Efficiency versus Risk Dominance in an Evolutionary Model with Cheap Talk," Discussion Paper 2002-6, Tilburg University, Center for Economic Research.
    9. Wallace, Chris & Young, H. Peyton, 2015. "Stochastic Evolutionary Game Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    10. David Sally, 2002. "`What an Ugly Baby!'," Rationality and Society, , vol. 14(1), pages 78-108, February.
    11. Jonathan Bendor & Piotr Swistak, 1998. "Evolutionary Equilibria: Characterization Theorems and Their Implications," Theory and Decision, Springer, vol. 45(2), pages 99-159, October.
    12. Blume, Andreas & Ortmann, Andreas, 2007. "The effects of costless pre-play communication: Experimental evidence from games with Pareto-ranked equilibria," Journal of Economic Theory, Elsevier, vol. 132(1), pages 274-290, January.
    13. Man, Priscilla T.Y., 2012. "Efficiency and stochastic stability in normal form games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 272-284.
    14. Heller, Yuval & Kuzmics, Christoph, 2020. "Communication, Renegotiation and Coordination with Private Values (Extended Version)," MPRA Paper 102926, University Library of Munich, Germany, revised 26 Jul 2021.
    15. Kosfeld, Michael, 2002. "Why shops close again: An evolutionary perspective on the deregulation of shopping hours," European Economic Review, Elsevier, vol. 46(1), pages 51-72, January.
    16. Sobel, Joel, 2017. "A note on pre-play communication," University of California at San Diego, Economics Working Paper Series qt68d1t1xg, Department of Economics, UC San Diego.
    17. Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September.
    18. Banerjee, Abhijit & Weibull, Jorgen W., 2000. "Neutrally Stable Outcomes in Cheap-Talk Coordination Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 1-24, July.
    19. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
    20. , & , H. & ,, 2015. "Sampling best response dynamics and deterministic equilibrium selection," Theoretical Economics, Econometric Society, vol. 10(1), January.

    More about this item

    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:9604001. 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.