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Bargaining Set Solution Concepts in Repeated Cooperative Games

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  • Ziv Hellman

Abstract

This paper is concerned with the question of extending the definition of the bargaining set, a cooperative game solution, when cooperation takes place in a repeated setting. The focus is on situations in which the players face (finite or infinite) sequences of exogenously specified TU-games and receive sequences of imputations against those static cooperative games in each time period. Two alternative definitions of what a `sequence of coalitions' means in such a context are considered, in respect to which the concept of a repeated game bargaining set may be defined, and existence and non-existence results are studied. A solution concept we term subgame-perfect bargaining set sequences is also defined, and sufficient conditions are given for the nonemptiness of subgame-perfect solutions in the case of a finite number of time periods.

Suggested Citation

  • Ziv Hellman, 2009. "Bargaining Set Solution Concepts in Repeated Cooperative Games," Discussion Paper Series dp523, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  • Handle: RePEc:huj:dispap:dp523
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    7. Arkadi Predtetchinski & P. Herings & Hans Peters, 2004. "The strong sequential core in a dynamic exchange economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 147-162, July.
    8. Berden Caroline, 2007. "The Role of Individual Intertemporal Transfers in Dynamic TU-Games," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    9. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
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    11. Laurence Kranich & Andres Perea & Hans Peters, 2000. "Dynamic Cooperative Games," Discussion Papers 00-06, University at Albany, SUNY, Department of Economics.
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