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Non-cooperative resource exploitation by patient players

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Abstract

We consider a discrete-time dynamic game in which a finite number of players extract a non-renewable resource and derive consumption solely from the extracted amount (cake-eating game). Markov-perfect Nash equilibria can be constructed in this game not only if the players have time-preference factors that are smaller than 1, but also if these factors are equal to or even larger than 1. We demonstrate this result both for the case of identical players and for the case of heterogeneous players. In addition we study the influence of the model parameters on the equilibrium.

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  • Gerhard Sorger & Tapan Mitra, 2014. "Non-cooperative resource exploitation by patient players," Vienna Economics Papers vie1408, University of Vienna, Department of Economics.
    • Handle: RePEc:vie:viennp:vie1408
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    Cited by:

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    2. Sébastien Rouillon, 2017. "Cooperative and Noncooperative Extraction in a Common Pool with Habit Formation," Dynamic Games and Applications, Springer, vol. 7(3), pages 468-491, September.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General

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