Hellman, Ziv (2008): Bargaining Set Solution Concepts in Dynamic Cooperative Games.
Download (303kB) | Preview
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.
|Item Type:||MPRA Paper|
|Original Title:||Bargaining Set Solution Concepts in Dynamic Cooperative Games|
|Keywords:||Cooperative game; Repeated game; Bargaining set|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
|Depositing User:||Ziv Hellman|
|Date Deposited:||20. May 2008 02:36|
|Last Modified:||19. Feb 2014 20:12|
Becker, R., Chakrabarti, S, (1995), ‘The Recursive Core’ Econometrica, 63:401 - 423.
Berden, C. (2007) ‘The Role of Individual Intertemporal Transfers in Dynamic TU-Games’, Unpublished Mimeo.
Gale, D. (1978): ‘The Core of a Monetary Economy without Trust’, Journal of Economic Theory, 19:456-491.
Kranich, L., A. Perea, and H. Peters (2001): ‘Dynamic Cooperative Games’, Unpublished Mimeo.
Kranich, L., A. Perea, and H. Peters (2005): ‘Core Concepts for Dynamic TU Games’ International Game Theory Review, 7:43 - 61.
Oviedo, J. (2000) ‘The Core of a Repeated n-Person Cooperative Game’, European Journal of Operational Research, 127:519 - 524.
Peleg, B. (1963) ‘Bargaining sets of cooperative games without side payments’, Israel Journal of Mathematics, 1:197 - 200.
Predtetchinski, A. (2007): ‘The Strong Sequential Core for Dynamic Cooperative Games,’ Games and Economic Behavior, forthcoming.
Predtetchinski, A., P.J.J. Herings and H. Peters (2004): ‘The Strong Sequential Core in a Dynamic Exchange Economy,’ Economic Theory 24: 147 - 162.
Predtetchinski, A., P.J.J. Herings and H. Peters (2002): ‘The Strong Sequential Core for Two-period Economies,’ Journal of Mathematical Economics 38: 465 - 482.
Predtetchinski, A., P.J.J. Herings and A. Perea (2006): ‘The Weak Sequential Core for Two-period Economies,’ International Journal of Game Theory 34: 55 - 65.