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On the Core of Dynamic Cooperative Games

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  • Ehud Lehrer

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  • Marco Scarsini

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Abstract

We consider dynamic cooperative games, where the worth of coalitions varies over time according to the history of allocations. When defining the core of a dynamic game, we allow the possibility for coalitions to deviate at any time and thereby to give rise to a new environment. A coalition that considers a deviation needs to take the consequences into account because from the deviation point on, the game is no longer played with the original set of players. The deviating coalition becomes the new grand coalition which, in turn, induces a new dynamic game. Each stage game of the new dynamic game depends on the previous allocation. We define and characterize a new solution concept, the intertemporal core. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Ehud Lehrer & Marco Scarsini, 2013. "On the Core of Dynamic Cooperative Games," Dynamic Games and Applications, Springer, vol. 3(3), pages 359-373, September.
  • Handle: RePEc:spr:dyngam:v:3:y:2013:i:3:p:359-373 DOI: 10.1007/s13235-013-0078-7
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    References listed on IDEAS

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    Cited by:

    1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    2. Carmona, Guilherme & Carvalho, Luís, 2016. "Repeated two-person zero-sum games with unequal discounting and private monitoring," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 131-138.
    3. repec:wsi:igtrxx:v:19:y:2017:i:04:n:s0219198917500207 is not listed on IDEAS

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    Keywords

    Markovian dynamic game; Intertemporal core;

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