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Dynamic stability in repeated games

Author

Listed:
  • Sergio Puente

    (Banco de España)

Abstract

A concept of dynamic stability in infinitely repeated games with discounting is presented. For this purpose, one modification of the available theory is needed: we need to relax the assumption that the game starts in a given period. Under this new framework, we propose stable strategies such that a folk theorem with an additional stability requirement still holds. Under these strategies, convergence to the long run outcome is achieved in a finite number of periods, no matter what actions or deviations have been played in the past. Hence, we suggest a way in which a player can build up his reputation after a deviation.

Suggested Citation

  • Sergio Puente, 2006. "Dynamic stability in repeated games," Working Papers 0618, Banco de España.
    • Handle: RePEc:bde:wpaper:0618
    as

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    File URL: http://www.bde.es/f/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/06/Fic/dt0618e.pdf
    File Function: First version, August 2006
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    References listed on IDEAS

    as
    1. Fabiani, S. & Druant, M. & Hernando, I. & Kwapil, C. & Landau, B. & Loupias, C. & Martins, F. & Mathä, T. & Sabbatini, R. & Stahl, H. & Stockman, A., 2005. "The Pricing Behaviour of Firms in the Euro Area: New Survey Evidence," Working papers 135, Banque de France.
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    7. K. C. Fung & Alicia Garcia‐Herrero & Hitomi Iizaka & Alan Siu, 2005. "Hard Or Soft? Institutional Reforms And Infrastructure Spending As Determinants Of Foreign Direct Investment In China," The Japanese Economic Review, Japanese Economic Association, vol. 56(4), pages 408-416, December.
    8. Emmanuel Dhyne & Luis J. Álvarez & Hervé Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lünnemann & Fabio Rumler & Jouko Vilmunen, 2005. "Price setting in the euro area: Some stylized facts from Individual Consumer Price Data," Working Paper Research 74, National Bank of Belgium.
    9. Gabriel Jiménez & Jesús Saurina, 2006. "Credit Cycles, Credit Risk, and Prudential Regulation," International Journal of Central Banking, International Journal of Central Banking, vol. 2(2), May.
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    More about this item

    Keywords

    repeated games; stability; stable strategies;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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