Two-Person Second-Order Games, Part 2: Restructuring Operations to Reach a Win-Win Profile

M. Larbani () and P. L. Yu ()
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M. Larbani: Kainan University
P. L. Yu: National Chiao Tung University

Journal of Optimization Theory and Applications, 2009, vol. 141, issue 3, No 9, 659 pages

Abstract: 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.

Keywords: Games; Habitual domains; Second-order games; Focal mind profiles; Win-win mind profiles; Markov chains (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-008-9488-x

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