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Jessie, D.T. & Saari, D.G. (2015). Strategic and behavioral decomposition of games. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-15-001
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Abstract
k1 x k2 x .... x kn games are uniquely decomposed into their strategic and behavioral parts. The strategic part contains all information needed to determine a specified strategic outcome (e.g. Nash, Quantal Response Equilibria (QRE); the behavioral portion is what motivates cooperative approaches such as tit-for-tat, side payments, etc. the decomposition reduces complexity; e.g., the space of 2x2 games is reduced from R^8 to points in a three-dimensional cube. Applications include characterizing all 2x2 games, finding which Nash (or QRE) structures accompany certain classes of k1 x ... x kn games, and how results concerning two and three player tit-for-tat strategies differ.
| Item Type: | Monograph (IIASA Interim Report) |
|---|---|
| Research Programs: | Advanced Systems Analysis (ASA) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 08:54 |
| Last Modified: | 27 Aug 2021 17:25 |
| URI: | https://pure.iiasa.ac.at/11685 |
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