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

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...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2011-06, Vol.149 (3), p.447-473
Main Authors: Larbani, M., Yu, P. L.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied sciences
Calculus of Variations and Optimal Control
Optimization
Cooperation
Engineering
Exact sciences and technology
Game theory
Hypotheses
Markov analysis
Mathematics
Mathematics and Statistics
Operational research and scientific management
Operational research. Management science
Operations Research/Decision Theory
Optimization
Psychological aspects
Studies
Theory of Computation
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Summary: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.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-011-9799-1