Cooperation in Strategic Games Revisited
AbstractFor two-person complete-information strategic games with transferable utility, all major variable-threat bargaining and arbitration solutions coincide. This confluence of solutions by luminaries such as Nash, Harsanyi, Raiffa, and Selten, is more than mere coincidence. Staying in the class of two-person games with transferable unility, the present paper presents a more complete theory that expands their solution. Speci cally, it presents: (1) a decomposition of a game into cooperative and competitive components, (2) an intuitive and computable closed-form formula for the solution, (3) an axiomatic justi cation of the solution, and (4) a generalization of the solution to games with private signals, along with an arbitration scheme that implements it. The objective is to restart research on cooperative solutions to strategic games and their applications.
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Bibliographic InfoPaper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1512.
Date of creation: 01 Dec 2011
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- Bar - Schools of Economic Thought and Methodology - - - - -
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- JEL - Labor and Demographic Economics - - - - -
- Cla - Mathematical and Quantitative Methods - - - - -
- Num - Economic History - - - - -
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-01-30 (All new papers)
- NEP-GTH-2011-01-30 (Game Theory)
- NEP-HPE-2011-01-30 (History & Philosophy of Economics)
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