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Dynamic Cooperative Games

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Author Info
Laurence Kranich
Andres Perea
Hans Peters

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Abstract

The simplest and most common interpretation of a coalitional form game is that it pertains to a single interaction among the players. However, many if not most cooperative endeavors occur more than once or even repeatedly over time. In this paper we begin a systematic study of dynamic cooperative games. We argue that new tools are necessary to capture several important features of a dynamic analysis that are not adequately represented within the conventional (static) framework. These include the immutability of the sequence of play, the intertemporal evaluation of payoffs, intertemporal trading and/or borrowing or saving, and history dependent games and/or solutions. Here, we focus on the case in which a given set of players play a finite sequence of exogenously specified TU-games. We extend the notion of a cooperative solution to the intertemporal setting, and we discuss intertemporal extensions of the core and the Shapley value. We also discuss the role of intertemporal trade and borrowing/saving. The paper concludes with a blueprint for future work.

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Publisher Info
Paper provided by University at Albany, SUNY, Department of Economics in its series Discussion Papers with number 00-06.

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Date of creation: 2000
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Handle: RePEc:nya:albaec:00-06

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Postal: Department of Economics, BA 110 University at Albany State University of New York Albany, NY 12222 U.S.A.
Phone: (518) 442-4735
Fax: (518) 442-4736

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Postal: Department of Economics, BA 110 University at Albany State University of New York Albany, NY 12222 U.S.A.
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Web: http://www.albany.edu/econ/dp/index.html

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Related research
Keywords: cooperative games dynamic games intertemporal solutions.

Other versions of this item:

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

Cited by:
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  1. Hellman, Ziv, 2008. "Bargaining Set Solution Concepts in Dynamic Cooperative Games," MPRA Paper 8798, University Library of Munich, Germany. [Downloadable!]
  2. Predtetchinski,Arkadi & Herings,Jean-Jacques, 2001. "The Strong Sequential Core for Two-period Economies," Research Memoranda 005, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  3. 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!]
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This page was last updated on 2008-11-13.


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