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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer/Plenum Publishers
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/7871/1/Two-Person_Second-Order_Games%2C_Part_1_Formulation.pdf |
| _version_ | 1796875563817762816 |
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| author | Yu, Po Lung Larbani, Moussa |
| author_facet | Yu, Po Lung Larbani, Moussa |
| author_sort | Yu, Po Lung |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T22:40:31Z |
| format | Article |
| id | oai:generic.eprints.org:7871 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:40:31Z |
| publishDate | 2009 |
| publisher | Springer/Plenum Publishers |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | QA Mathematics Yu, Po Lung Larbani, Moussa Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy |
| title | 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_short | Two-Person Second-Order Games, Part 1: Formulation and Transition Anatomy |
| title_sort | two person second order games part 1 formulation and transition anatomy |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/7871/1/Two-Person_Second-Order_Games%2C_Part_1_Formulation.pdf |
| work_keys_str_mv | AT yupolung twopersonsecondordergamespart1formulationandtransitionanatomy AT larbanimoussa twopersonsecondordergamespart1formulationandtransitionanatomy |