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Two-person second-order games, part 2: restructuring operations to reach a win-win profile

Larbani, Moussa and Yu, Po Lung (2009) Two-person second-order games, part 2: restructuring operations to reach a win-win profile. Journal of Optimization Theory and Applications, 141 (3). pp. 641-659. ISSN 0022-3239

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Abstract

In Part 1 of the paper, using habitual domains theory and finite Markov chain theory, we have introduced a new model for describing the evolution of the states of mind of players over time, the two-person second-order game. The concepts of focal mind profile as well as the solution concept of win-win mind profile have been introduced as solution concepts for these games. In Part 2 of the paper, we address the problem of restructuring a game where the focal profile (1, 1) is not reachable or is not a win-win profile into a game where the profile (1, 1) is a reachable win-win profile. Precisely, under some reasonable assumptions, we derive the possibility theorem that it is always possible to reach a win-win mind profile in a two-person second-order game.Moreover, we provide practical operations for restructuring games for reaching a win-win profile.

Item Type: Article (Journal)
Additional Information: 3917/13468
Uncontrolled Keywords: Games, habitual domains, second-order games, focal mind profiles Win-win mind profiles · Markov chains
Subjects: H Social Sciences > HB Economic Theory > HB131 Methodology.Mathematical economics. Quantitative methods
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Economics and Management Sciences > Department of Business Administration
Depositing User: Professor Larbani Moussa
Date Deposited: 02 Feb 2012 14:33
Last Modified: 02 Feb 2012 14:33
URI: http://irep.iium.edu.my/id/eprint/13468

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