標題: Two-Person Second-Order Games, Part 2: Restructuring Operations to Reach a Win-Win Profile
作者: Larbani, M.
Yu, P. L.
資訊管理與財務金融系 註:原資管所+財金所
Department of Information Management and Finance
關鍵字: Games;Habitual domains;Second-order games;Focal mind profiles;Win-win mind profiles;Markov chains
公開日期: 1-Jun-2009
摘要: 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.
URI: http://dx.doi.org/10.1007/s10957-008-9488-x
http://hdl.handle.net/11536/7182
ISSN: 0022-3239
DOI: 10.1007/s10957-008-9488-x
期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume: 141
Issue: 3
起始頁: 641
結束頁: 659
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