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Multi-stage game theroy in continuous time

Author

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  • Ioanid Rosu

    (university of chicago - booth school of business - University of Chicago)

Abstract

I define multi-stage stochastic games in continuous time. As in Bergin and MacLeod (1993), strategies have infinitesimal inertia, i.e., agents cannot change their strategies in an infinitesimal interval immediately after each time t. I extend the framework to allow for mixed strategies. As a novel feature in continuous time, mixing can be done both over actions, and over time (choosing the time of the action). I also define "layered times," which allow for stopping the clock and having various stages of the game be played at the same moment in time. I apply the theory to a trading game, where patient agents can choose whether to trade immediately or place a limit order and wait.

Suggested Citation

  • Ioanid Rosu, 2006. "Multi-stage game theroy in continuous time," Working Papers hal-00515909, HAL.
    • Handle: RePEc:hal:wpaper:hal-00515909
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    Cited by:

    1. Frantz, Pascal & Instefjord, Norvald, 2019. "Debt overhang and non-distressed debt restructuring," Journal of Financial Intermediation, Elsevier, vol. 37(C), pages 75-88.
    2. Frantz, Pascal & Instefjord, Norvald, 2019. "Debt overhang and non-distressed debt restructuring," LSE Research Online Documents on Economics 90212, London School of Economics and Political Science, LSE Library.

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