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Bargaining Set Solution Concepts in Repeated Cooperative Games

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Author Info
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.

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Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp523.

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Length: 26 pages
Date of creation: Oct 2009
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Handle: RePEc:huj:dispap:dp523

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  1. Gale, Douglas, 1978. "The core of a monetary economy without trust," Journal of Economic Theory, Elsevier, vol. 19(2), pages 456-491, December. [Downloadable!] (restricted)
  2. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April. [Downloadable!] (restricted)
  3. Predtetchinski, Arkadi, 2007. "The strong sequential core for stationary cooperative games," Games and Economic Behavior, Elsevier, vol. 61(1), pages 50-66, October. [Downloadable!] (restricted)
  4. Maschler, Michael, 1976. "An advantage of the bargaining set over the core," Journal of Economic Theory, Elsevier, vol. 13(2), pages 184-192, October. [Downloadable!] (restricted)
  5. Arkadi Predtetchinski & P. Herings & Hans Peters, 2004. "The strong sequential core in a dynamic exchange economy," Economic Theory, Springer, vol. 24(1), pages 147-162, 07. [Downloadable!] (restricted)
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  6. Berden, Caroline, 2007. "The Role of Individual Intertemporal Transfers in Dynamic TU-Games," Research Memoranda 030, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  7. Oviedo, Jorge, 2000. "The core of a repeated n-person cooperative game," European Journal of Operational Research, Elsevier, vol. 127(3), pages 519-524, December. [Downloadable!] (restricted)
  8. Predtetchinski, Arkadi & Herings, P. Jean-Jacques & Peters, Hans, 2002. "The strong sequential core for two-period economies," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 465-482, December. [Downloadable!] (restricted)
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  9. P. Herings & A. Predtetchinski & A. Perea, 2006. "The Weak Sequential Core for Two-Period Economies," International Journal of Game Theory, Springer, vol. 34(1), pages 55-65, April. [Downloadable!] (restricted)
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