標題: Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
作者: Yu, P. L.
Larbani, M.
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: Habitual domains;Normal form games;Second-order games;Win-win mind profiles;Markov chains
公開日期: 1-Jun-2009
摘要: It is well known that human psychology determines his/her action and behavior. This fact has not been fully incorporated in game theory. This paper intends to incorporate human psychology in formulating games as people play them. In Part 1 of the paper, we formulate a two-person game by the habitual domain theory and the Markov chain theory. Using the habitual domains theory, we present a new model describing the evolution of the states of mind of players over time, the two-person second-order game. We introduce the concept of the focal mind profile as well as the solution concept of the win-win mind profile. In addition, we provide also a method to predict the average number of steps needed for a game to reach a focal or win-win mind profile. Then, in Part 2 of the paper, under some reasonable assumptions, we derive the possibility theorem stating that it is always possible to reach a win-win mind profile when suitable conditions are satisfied.
URI: http://dx.doi.org/10.1007/s10957-008-9487-y
http://hdl.handle.net/11536/7181
ISSN: 0022-3239
DOI: 10.1007/s10957-008-9487-y
期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume: 141
Issue: 3
起始頁: 619
結束頁: 639
Appears in Collections:Articles


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