Games under Ambiguous Payoffs and Optimistic Attitudes
In real-life games, the consequence or payoff of a strategy profile and a player's belief about the consequence of a strategy profile are often ambiguous, and players may have different optimistic attitudes with respect to a strategy profile. To handle this problem, this paper proposes a decisi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/531987 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562778485817344 |
|---|---|
| author | Wei Xiong |
| author_facet | Wei Xiong |
| author_sort | Wei Xiong |
| collection | DOAJ |
| description | In real-life games, the consequence or payoff of a strategy profile and a player's belief about the consequence of a strategy profile are often ambiguous, and players may have different optimistic attitudes with respect to a strategy profile. To handle this problem, this paper proposes a decision rule using the Hurwicz criterion and Dempster-Shafer theory. Based on this rule, we introduce a new kind of games, called ambiguous games, and propose a solution concept that is appropriate for this sort of games. Moreover, we also study how the beliefs regarding possible payoffs and optimistic attitudes may affect the solutions of such a game. To illustrate our model, we provide an analysis of a scenario concerning allocating resource of defending and attacking in military contexts. |
| format | Article |
| id | doaj-art-f31a2e1373e84030a89a610e82ead5a7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f31a2e1373e84030a89a610e82ead5a72025-02-03T01:21:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/531987531987Games under Ambiguous Payoffs and Optimistic AttitudesWei Xiong0Department of Philosophy, Institute of Logic and Cognition, Sun Yat-Sen University, Guangzhou 510275, ChinaIn real-life games, the consequence or payoff of a strategy profile and a player's belief about the consequence of a strategy profile are often ambiguous, and players may have different optimistic attitudes with respect to a strategy profile. To handle this problem, this paper proposes a decision rule using the Hurwicz criterion and Dempster-Shafer theory. Based on this rule, we introduce a new kind of games, called ambiguous games, and propose a solution concept that is appropriate for this sort of games. Moreover, we also study how the beliefs regarding possible payoffs and optimistic attitudes may affect the solutions of such a game. To illustrate our model, we provide an analysis of a scenario concerning allocating resource of defending and attacking in military contexts.http://dx.doi.org/10.1155/2014/531987 |
| spellingShingle | Wei Xiong Games under Ambiguous Payoffs and Optimistic Attitudes Journal of Applied Mathematics |
| title | Games under Ambiguous Payoffs and Optimistic Attitudes |
| title_full | Games under Ambiguous Payoffs and Optimistic Attitudes |
| title_fullStr | Games under Ambiguous Payoffs and Optimistic Attitudes |
| title_full_unstemmed | Games under Ambiguous Payoffs and Optimistic Attitudes |
| title_short | Games under Ambiguous Payoffs and Optimistic Attitudes |
| title_sort | games under ambiguous payoffs and optimistic attitudes |
| url | http://dx.doi.org/10.1155/2014/531987 |
| work_keys_str_mv | AT weixiong gamesunderambiguouspayoffsandoptimisticattitudes |