Rational Behavior in Dynamic Multicriteria Games
We consider a dynamic, discrete-time, game model where <i>n</i> players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargainin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1485 |
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| author | Anna Rettieva |
| author_facet | Anna Rettieva |
| author_sort | Anna Rettieva |
| collection | DOAJ |
| description | We consider a dynamic, discrete-time, game model where <i>n</i> players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. The conditions for rational behavior, namely irrational-behavior-proofness condition and each step rational behavior condition are defined for dynamic multicriteria games. To illustrate the presented approaches, a dynamic bi-criteria bioresource management problem with many players is investigated. |
| first_indexed | 2024-03-10T16:36:28Z |
| format | Article |
| id | doaj.art-08e78fb971774ad3847a5daceec50ee9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T16:36:28Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-08e78fb971774ad3847a5daceec50ee92023-11-20T12:19:42ZengMDPI AGMathematics2227-73902020-09-0189148510.3390/math8091485Rational Behavior in Dynamic Multicriteria GamesAnna Rettieva0School of Mathematics and Statistics, Qingdao University, Qingdao 266071, ChinaWe consider a dynamic, discrete-time, game model where <i>n</i> players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. The conditions for rational behavior, namely irrational-behavior-proofness condition and each step rational behavior condition are defined for dynamic multicriteria games. To illustrate the presented approaches, a dynamic bi-criteria bioresource management problem with many players is investigated.https://www.mdpi.com/2227-7390/8/9/1485dynamic gamesmulticriteria gamesNash bargaining solutiondynamic stabilityrational behavior conditions |
| spellingShingle | Anna Rettieva Rational Behavior in Dynamic Multicriteria Games Mathematics dynamic games multicriteria games Nash bargaining solution dynamic stability rational behavior conditions |
| title | Rational Behavior in Dynamic Multicriteria Games |
| title_full | Rational Behavior in Dynamic Multicriteria Games |
| title_fullStr | Rational Behavior in Dynamic Multicriteria Games |
| title_full_unstemmed | Rational Behavior in Dynamic Multicriteria Games |
| title_short | Rational Behavior in Dynamic Multicriteria Games |
| title_sort | rational behavior in dynamic multicriteria games |
| topic | dynamic games multicriteria games Nash bargaining solution dynamic stability rational behavior conditions |
| url | https://www.mdpi.com/2227-7390/8/9/1485 |
| work_keys_str_mv | AT annarettieva rationalbehaviorindynamicmulticriteriagames |