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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/13468/ http://irep.iium.edu.my/13468/1/JOTA_2_Published.pdf |
| _version_ | 1848777568590757888 |
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| author | Larbani, Moussa Yu, Po Lung |
| author_facet | Larbani, Moussa Yu, Po Lung |
| author_sort | Larbani, Moussa |
| building | IIUM Repository |
| collection | Online Access |
| 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 | 2025-11-14T14:48:03Z |
| format | Article |
| id | iium-13468 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:48:03Z |
| publishDate | 2009 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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/ http://irep.iium.edu.my/13468/ http://irep.iium.edu.my/13468/ http://irep.iium.edu.my/13468/1/JOTA_2_Published.pdf |