Two-person second-order games, part 2: restructuring operations to reach a win-win profile
In Part 1 of the paper, using habitual domains theory and finite Markov chain theory, we have introduced a new model for describing the evolution of the states of mind of players over time, the two-person second-order game. The concepts of focal mind profile as well as the solution concept of win-wi...
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Format: | Article |
Language: | English |
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Springer
2009
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Online Access: | http://irep.iium.edu.my/13468/1/JOTA_2_Published.pdf |
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author | Larbani, Moussa Yu, Po Lung |
author_facet | Larbani, Moussa Yu, Po Lung |
author_sort | Larbani, Moussa |
collection | IIUM |
description | In Part 1 of the paper, using habitual domains theory and finite Markov chain theory, we have introduced a new model for describing the evolution of the states of mind of players over time, the two-person second-order game. The concepts of focal mind profile as well as the solution concept of win-win mind profile have been introduced as solution concepts for these games. In Part 2 of the paper, we address the problem of restructuring a game where the focal profile (1, 1) is not reachable or is not a win-win profile into a game where the profile (1, 1) is a reachable win-win profile. Precisely, under some reasonable assumptions, we derive the possibility theorem that it is always possible to reach a win-win mind profile in a two-person second-order game.Moreover, we provide practical operations for restructuring games for reaching a win-win profile. |
first_indexed | 2024-03-05T22:47:16Z |
format | Article |
id | oai:generic.eprints.org:13468 |
institution | International Islamic University Malaysia |
language | English |
last_indexed | 2024-03-05T22:47:16Z |
publishDate | 2009 |
publisher | Springer |
record_format | dspace |
spelling | oai:generic.eprints.org:134682012-02-02T06:33:28Z http://irep.iium.edu.my/13468/ Two-person second-order games, part 2: restructuring operations to reach a win-win profile Larbani, Moussa Yu, Po Lung HB131 Methodology.Mathematical economics. Quantitative methods In Part 1 of the paper, using habitual domains theory and finite Markov chain theory, we have introduced a new model for describing the evolution of the states of mind of players over time, the two-person second-order game. The concepts of focal mind profile as well as the solution concept of win-win mind profile have been introduced as solution concepts for these games. In Part 2 of the paper, we address the problem of restructuring a game where the focal profile (1, 1) is not reachable or is not a win-win profile into a game where the profile (1, 1) is a reachable win-win profile. Precisely, under some reasonable assumptions, we derive the possibility theorem that it is always possible to reach a win-win mind profile in a two-person second-order game.Moreover, we provide practical operations for restructuring games for reaching a win-win profile. Springer 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13468/1/JOTA_2_Published.pdf Larbani, Moussa and Yu, Po Lung (2009) Two-person second-order games, part 2: restructuring operations to reach a win-win profile. Journal of Optimization Theory and Applications, 141 (3). pp. 641-659. ISSN 0022-3239 http://www.springerlink.com/content/t55212411267552n/fulltext.pdf 10.1007/s10957-008-9488-x |
spellingShingle | HB131 Methodology.Mathematical economics. Quantitative methods Larbani, Moussa Yu, Po Lung Two-person second-order games, part 2: restructuring operations to reach a win-win profile |
title | Two-person second-order games, part 2: restructuring operations to reach a win-win profile |
title_full | Two-person second-order games, part 2: restructuring operations to reach a win-win profile |
title_fullStr | Two-person second-order games, part 2: restructuring operations to reach a win-win profile |
title_full_unstemmed | Two-person second-order games, part 2: restructuring operations to reach a win-win profile |
title_short | Two-person second-order games, part 2: restructuring operations to reach a win-win profile |
title_sort | two person second order games part 2 restructuring operations to reach a win win profile |
topic | HB131 Methodology.Mathematical economics. Quantitative methods |
url | http://irep.iium.edu.my/13468/1/JOTA_2_Published.pdf |
work_keys_str_mv | AT larbanimoussa twopersonsecondordergamespart2restructuringoperationstoreachawinwinprofile AT yupolung twopersonsecondordergamespart2restructuringoperationstoreachawinwinprofile |