Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy

Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy

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 habit...

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Main Authors: Yu, Po Lung, Larbani, Moussa
Format: Article
Language:English
Published: Springer/Plenum Publishers 2009
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/7871/
http://irep.iium.edu.my/7871/
http://irep.iium.edu.my/7871/
http://irep.iium.edu.my/7871/1/Two-Person_Second-Order_Games%2C_Part_1_Formulation.pdf
id iium-7871
recordtype eprints
spelling iium-78712011-11-24T22:16:26Z http://irep.iium.edu.my/7871/ Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy Yu, Po Lung Larbani, Moussa QA Mathematics 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. Springer/Plenum Publishers 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/7871/1/Two-Person_Second-Order_Games%2C_Part_1_Formulation.pdf Yu, Po Lung and Larbani, Moussa (2009) Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy. Journal of Optimization Theory and Applications, 141 (3). pp. 619-639. ISSN 0022-3239 http://dx.doi.org/10.1007/s10957-008-9487-y doi:10.1007/s10957-008-9487-y
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Yu, Po Lung
Larbani, Moussa
Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
description 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.
format Article
author Yu, Po Lung
Larbani, Moussa
author_facet Yu, Po Lung
Larbani, Moussa
author_sort Yu, Po Lung
title Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
title_short Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
title_full Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
title_fullStr Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
title_full_unstemmed Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy
title_sort two-person second-order games, part 1: formulation and transition anatomy
publisher Springer/Plenum Publishers
publishDate 2009
url http://irep.iium.edu.my/7871/
http://irep.iium.edu.my/7871/
http://irep.iium.edu.my/7871/
http://irep.iium.edu.my/7871/1/Two-Person_Second-Order_Games%2C_Part_1_Formulation.pdf
first_indexed 2023-09-18T20:17:25Z
last_indexed 2023-09-18T20:17:25Z
_version_ 1777407880925806592

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