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A model of strategic behaviour in repeated games

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  • Bergin, James

Abstract

This paper develops a general repeated game model over arbitrary time domain (which includes continuous time behaviour). A player is committed at any point in time to history independent behaviour for a positive length of time. The length of time of commitment depends on the way the history evolves locally. A virtue of this approach is that none of the technical assumptions of the differential formulation (e.g. Lipschitz conditions) are required. In addition, the variable response strategy formulation allows a straightforward discussion of subgame perfection.
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Suggested Citation

  • Bergin, James, 1992. "A model of strategic behaviour in repeated games," Journal of Mathematical Economics, Elsevier, vol. 21(2), pages 113-153.
  • Handle: RePEc:eee:mateco:v:21:y:1992:i:2:p:113-153
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    Cited by:

    1. Laraki, Rida & Solan, Eilon & Vieille, Nicolas, 2005. "Continuous-time games of timing," Journal of Economic Theory, Elsevier, vol. 120(2), pages 206-238, February.
    2. Nicolas Klein & Sven Rady, 2011. "Negatively Correlated Bandits," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 693-732.
    3. Bergin, James & Duggan, John, 1999. "An Implementation-Theoretic Approach to Non-cooperative Foundations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 50-76, May.
    4. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    5. Mitri Kitti, 2018. "Subgame Perfect Equilibria in Continuous-Time Repeated Games," Discussion Papers 120, Aboa Centre for Economics.
    6. Alós-Ferrer, Carlos & Kern, Johannes, 2015. "Repeated games in continuous time as extensive form games," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 34-57.

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