IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v32y2008i12p3877-3894.html
   My bibliography  Save this article

Global analysis of an expectations augmented evolutionary dynamics

Author

Listed:
  • Antoci, Angelo
  • Gay, Antonio
  • Landi, Massimiliano
  • Sacco, Pier Luigi

Abstract

We consider a deterministic evolutionary model where players form expectations about future play. Players are not fully rational and have expectations that change over time in response to current payoffs and feedback from the past. We provide a complete characterization of the qualitative dynamics so induced for a two strategy population game, and relate our findings to standard evolutionary dynamics and equilibrium selection when agents have rational forward looking expectations.

Suggested Citation

  • Antoci, Angelo & Gay, Antonio & Landi, Massimiliano & Sacco, Pier Luigi, 2008. "Global analysis of an expectations augmented evolutionary dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3877-3894, December.
    • Handle: RePEc:eee:dyncon:v:32:y:2008:i:12:p:3877-3894
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(08)00064-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Diamond, Peter & Fudenberg, Drew, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 606-619, June.
    2. John Conlisk, 2001. "Costly Predation and the Distribution of Competence," American Economic Review, American Economic Association, vol. 91(3), pages 475-484, June.
    3. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    4. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
    5. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
    6. Burdzy, Krzysztof & Frankel, David M & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Econometrica, Econometric Society, vol. 69(1), pages 163-189, January.
    7. Lagunoff, Roger, 2000. "On the Evolution of Pareto-Optimal Behavior in Repeated Coordination Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 273-293, May.
    8. Angelo Antoci & Pier Sacco, 1995. "A public contracting evolutionary game with corruption," Journal of Economics, Springer, vol. 61(2), pages 89-122, June.
    9. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 651-667.
    10. Gian-Italo Bischi & Carl Chiarella & Michael Kopel, 2004. "The Long Run Outcomes And Global Dynamics Of A Duopoly Game With Misspecified Demand Functions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(03), pages 343-379.
    11. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    12. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
    13. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    14. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(3), pages 287-321, September.
    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. Josephson, Jens, 2009. "Stochastic adaptation in finite games played by heterogeneous populations," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1543-1554, August.
    2. Pedro, de Mendonça, 2009. "Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications," MPRA Paper 17889, University Library of Munich, Germany.
    3. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.

    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. Angelo Antoci & Massimiliano Landi, 2006. "Expectations, Animal Spirits, and Evolutionary Dynamics," Macroeconomics Working Papers 22057, East Asian Bureau of Economic Research.
    2. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    3. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
    4. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    5. Kojima, Fuhito, 2006. "Risk-dominance and perfect foresight dynamics in N-player games," Journal of Economic Theory, Elsevier, vol. 128(1), pages 255-273, May.
    6. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.
    7. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    8. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    9. Daron Acemoglu & Matthew O. Jackson, 2015. "History, Expectations, and Leadership in the Evolution of Social Norms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(2), pages 423-456.
    10. Lamantia, Fabio & Pezzino, Mario & Tramontana, Fabio, 2018. "Dynamic analysis of discontinuous best response with innovation," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 120-133.
    11. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
    12. 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.
    13. Vega-Redondo, Fernando, 1997. "Shaping long-run expectations in problems of coordination," European Journal of Political Economy, Elsevier, vol. 13(4), pages 783-806, December.
    14. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
    15. Karp, Larry & Lee, In Ho & Mason, Robin, 2007. "A global game with strategic substitutes and complements," Games and Economic Behavior, Elsevier, vol. 60(1), pages 155-175, July.
    16. Velasco, Andres, 1995. "Increasing returns and cyclical international capital movements," Economics Letters, Elsevier, vol. 48(3-4), pages 345-351, June.
    17. Bernardo Guimaraes & Caio Machado & Ana E. Pereira, 2020. "Dynamic coordination with timing frictions: Theory and applications," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 656-697, June.
    18. Velasco, Andres, 1996. "Animal spirits, investment and international capital movements," Journal of International Money and Finance, Elsevier, vol. 15(2), pages 221-237, April.
    19. Foroni, Ilaria & Gardini, Laura & Rosser, J.Barkley, 2003. "Adaptive and statistical expectations in a renewable resource market," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 541-567.
    20. Pranab Bardhan, 1993. "Economics of Development and the Development of Economics," Journal of Economic Perspectives, American Economic Association, vol. 7(2), pages 129-142, Spring.

    More about this item

    Keywords

    Evolutionary games Dynamic systems Bounded rationality;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:eee:dyncon:v:32:y:2008:i:12:p:3877-3894. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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.