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Bargaining Set Solution Concepts in Dynamic Cooperative Games

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  • Hellman, Ziv

Abstract

This paper is concerned with the question of defining the bargaining set, a cooperative game solution, when cooperation takes place in a dynamic setting. The focus is on dynamic cooperative games 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 dynamic game bargaining set may be defined, and existence and non-existence results are studied. A solution concept we term ‘subgame-stable bargaining set sequences’ is also defined, and sufficient conditions are given for the non-emptiness of subgame-stable solutions in the case of a finite number of time periods.

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File URL: http://mpra.ub.uni-muenchen.de/8798/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8798.

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Date of creation: 17 Apr 2008
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Handle: RePEc:pra:mprapa:8798

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Keywords: Cooperative game; Repeated game; Bargaining set;

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References

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  1. Predtetchinski, Arkadi, 2007. "The strong sequential core for stationary cooperative games," Games and Economic Behavior, Elsevier, vol. 61(1), pages 50-66, October.
  2. Predtetchinski,Arkadi & Herings,Jean-Jacques, 2001. "The Strong Sequential Core for Two-period Economies," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. 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.
  4. 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.
  5. 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).
  6. Laurence Kranich & Andres Perea & Hans Peters, 2000. "Dynamic Cooperative Games," Discussion Papers 00-06, University at Albany, SUNY, Department of Economics.
  7. Gale, Douglas, 1978. "The core of a monetary economy without trust," Journal of Economic Theory, Elsevier, vol. 19(2), pages 456-491, December.
  8. Becker, Robert A & Chakrabarti, Subir K, 1995. "The Recursive Core," Econometrica, Econometric Society, vol. 63(2), pages 401-23, March.
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Cited by:
  1. Ehud Lehrer & Marco Scarsini, 2013. "On the Core of Dynamic Cooperative Games," Dynamic Games and Applications, Springer, vol. 3(3), pages 359-373, September.

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