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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
    Download Restriction: no
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    References listed on IDEAS

    as
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    8. Luis J. Álvarez & Emmanuel Dhyne & Marco Hoeberichts & Claudia Kwapil & Hervé Le Bihan & Patrick Lünnemann & Fernando Martins & Roberto Sabbatini & Harald Stahl & Philip Vermeulen & Jouko Vilmunen, 2006. "Sticky Prices in the Euro Area: A Summary of New Micro-Evidence," Journal of the European Economic Association, MIT Press, vol. 4(2-3), pages 575-584, 04-05.
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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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