IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/66179.html
   My bibliography  Save this paper

Unique Stationary Behavior

Author

Listed:
  • Heller, Yuval
  • Mohlin, Erik

Abstract

We study environments in which agents from a large population are randomly matched to play a one-shot game, and, before the interaction begins, each agent observes noisy information about the partner's aggregate behavior. Agents follow stationary strategies that depend on the observed signal. We show that every strategy distribution admits a unique behavior if each player observe on average less than action of his partner. On the other hand, if each player observes on average more than one action, we show that there exists a stationary strategy that admits multiple consistent outcomes.

Suggested Citation

  • Heller, Yuval & Mohlin, Erik, 2015. "Unique Stationary Behavior," MPRA Paper 66179, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:66179
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/66179/1/MPRA_paper_66179.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Timothy N. Cason & Daniel Friedman & ED Hopkins, 2014. "Cycles and Instability in a Rock--Paper--Scissors Population Game: A Continuous Time Experiment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 112-136.
    2. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    3. V. Bhaskar & George J. Mailath & Stephen Morris, 2013. "A Foundation for Markov Equilibria in Sequential Games with Finite Social Memory -super-," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(3), pages 925-948.
    4. 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.
    5. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    6. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    7. Rosenthal, R W, 1979. "Sequences of Games with Varying Opponents," Econometrica, Econometric Society, vol. 47(6), pages 1353-1366, 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. Heller, Yuval & Mohlin, Erik, 2018. "Social learning and the shadow of the past," Journal of Economic Theory, Elsevier, vol. 177(C), pages 426-460.
    2. Heller, Yuval & Mohlin, Erik, 2017. "When Is Social Learning Path-Dependent?," MPRA Paper 78962, University Library of Munich, Germany.
    3. Swami Iyer & Timothy Killingback, 2020. "Evolution of Cooperation in Social Dilemmas with Assortative Interactions," Games, MDPI, vol. 11(4), pages 1-31, September.
    4. Oechssler, Jorg, 1997. "An Evolutionary Interpretation of Mixed-Strategy Equilibria," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 203-237, October.
    5. Hammerstein, Peter & Leimar, Olof, 2015. "Evolutionary Game Theory in Biology," Handbook of Game Theory with Economic Applications,, Elsevier.
    6. Giovanni Ponti & Robert M. Seymour, 1999. "Evolutionary Stability Of Inequality Structures," Rationality and Society, , vol. 11(1), pages 47-77, February.
    7. Luis R. Izquierdo & Segismundo S. Izquierdo & José Manuel Galán & José Ignacio Santos, 2009. "Techniques to Understand Computer Simulations: Markov Chain Analysis," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-6.
    8. Benndorf, Volker & Martínez-Martínez, Ismael & Normann, Hans-Theo, 2021. "Games with coupled populations: An experiment in continuous time," Journal of Economic Theory, Elsevier, vol. 195(C).
    9. Engseld, Peter & Bergh, Andreas, 2005. "Choosing Opponents in Games of Cooperation and Coordination," Working Papers 2005:1, Lund University, Department of Economics, revised 29 Nov 2005.
    10. Ianni, Antonella, 2000. "Learning correlated equilibria in potential games," Discussion Paper Series In Economics And Econometrics 0012, Economics Division, School of Social Sciences, University of Southampton.
    11. Kolstad, Ivar, 2007. "The evolution of social norms: With managerial implications," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 36(1), pages 58-72, February.
    12. Daniel Friedman & Nirvikar Singh, 2004. "Vengefulness Evolves in Small Groups," Palgrave Macmillan Books, in: Steffen Huck (ed.), Advances in Understanding Strategic Behaviour, chapter 3, pages 28-54, Palgrave Macmillan.
    13. Durrett, Richard & Levin, Simon A., 2005. "Can stable social groups be maintained by homophilous imitation alone?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(3), pages 267-286, July.
    14. Hisashi Ohtsuki, 2011. "Evolutionary Dynamics of the Nash Demand Game: A Diffusion Approach," Dynamic Games and Applications, Springer, vol. 1(3), pages 449-461, September.
    15. Mäs, Michael & Nax, Heinrich H., 2016. "A behavioral study of “noise” in coordination games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 195-208.
    16. Bandyopadhyay, Abhirup & Kar, Samarjit, 2018. "Coevolution of cooperation and network structure in social dilemmas in evolutionary dynamic complex network," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 710-730.
    17. Swami Iyer & Timothy Killingback, 2016. "Evolution of Cooperation in Social Dilemmas on Complex Networks," PLOS Computational Biology, Public Library of Science, vol. 12(2), pages 1-25, February.
    18. Te Wu & Long Wang & Feng Fu, 2017. "Coevolutionary dynamics of phenotypic diversity and contingent cooperation," PLOS Computational Biology, Public Library of Science, vol. 13(1), pages 1-16, January.
    19. Maarten C.W. Janssen, 1997. "Focal Points," Tinbergen Institute Discussion Papers 97-091/1, Tinbergen Institute.
    20. Michael Kosfeld, 2002. "Stochastic strategy adjustment in coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 321-339.

    More about this item

    Keywords

    Markovian process; Random matching.;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:66179. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.