n‐Person Second‐Order Games: A Paradigm Shift in Game Theory

n‐Person Second‐Order Games: A Paradigm Shift in Game Theory

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Article ID: iaor20115122
Volume: 149
Issue: 3
Start Page Number: 447
End Page Number: 473
Publication Date: Jun 2011
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: optimization, programming: dynamic
Abstract:

In this paper, we present a new approach to n‐person games based on the Habitual domain theory. Unlike the traditional game theory models, the constructed model captures the fact that the underlying changes in the psychological aspects and mind states of the players over the arriving events are the key factors, which determine the dynamic process of coalition formation. We introduce two new concepts of solution for games: strategically stable mind profile and structurally stable mind profile. The theory introduced in this paper overcomes the dichotomy of non‐cooperative/cooperative games, prevailing in the existing game theory, which makes game theory more applicable to real‐world game situations.

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