Reaching win-win state of mind in games, formulation and solution

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. Using Habitual Domains and Markov chains theory, we present a new model for describing the e...

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Main Authors: Larbani, Moussa, Yu, Po Lung
Format: Article
Language:English
Published: Yokohama Publisher 2009
Subjects:
Online Access:http://irep.iium.edu.my/13480/
http://irep.iium.edu.my/13480/
http://irep.iium.edu.my/13480/1/JCNCA_Paper.pdf
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recordtype eprints
spelling iium-134802012-01-08T10:09:18Z http://irep.iium.edu.my/13480/ Reaching win-win state of mind in games, formulation and solution Larbani, Moussa Yu, Po Lung HB131 Methodology.Mathematical economics. Quantitative methods 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. Using Habitual Domains and Markov chains theory, we present a new model for describing the evolution of the states of mind of players over time, the two person second order game. We introduce the concept of focal mind profile as well as the solution concept of win-win mind profile. Under some suitable assumptions, the restructuring game to reach a win-win mind profile can be formulated into a discrete optimal control problem. We illustrate the formulation with an example. Yokohama Publisher 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13480/1/JCNCA_Paper.pdf Larbani, Moussa and Yu, Po Lung (2009) Reaching win-win state of mind in games, formulation and solution. Journal of Non Linear Analysis and Convex Analysis, 10 (1). pp. 73-91. ISSN 1345-4773 (P), 1880-5221 (O) http://www.ybook.co.jp/online/jncae/vol10/p73.html
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic HB131 Methodology.Mathematical economics. Quantitative methods
spellingShingle HB131 Methodology.Mathematical economics. Quantitative methods
Larbani, Moussa
Yu, Po Lung
Reaching win-win state of mind in games, formulation and solution
description 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. Using Habitual Domains and Markov chains theory, we present a new model for describing the evolution of the states of mind of players over time, the two person second order game. We introduce the concept of focal mind profile as well as the solution concept of win-win mind profile. Under some suitable assumptions, the restructuring game to reach a win-win mind profile can be formulated into a discrete optimal control problem. We illustrate the formulation with an example.
format Article
author Larbani, Moussa
Yu, Po Lung
author_facet Larbani, Moussa
Yu, Po Lung
author_sort Larbani, Moussa
title Reaching win-win state of mind in games, formulation and solution
title_short Reaching win-win state of mind in games, formulation and solution
title_full Reaching win-win state of mind in games, formulation and solution
title_fullStr Reaching win-win state of mind in games, formulation and solution
title_full_unstemmed Reaching win-win state of mind in games, formulation and solution
title_sort reaching win-win state of mind in games, formulation and solution
publisher Yokohama Publisher
publishDate 2009
url http://irep.iium.edu.my/13480/
http://irep.iium.edu.my/13480/
http://irep.iium.edu.my/13480/1/JCNCA_Paper.pdf
first_indexed 2023-09-18T20:22:39Z
last_indexed 2023-09-18T20:22:39Z
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