Game Theory
The Special Issue “Game Theory” of the journal Mathematics provides a collection of papers that represent modern trends in mathematical game theory and its applications. The works address the problem of constructing and implementation of solution concepts based on classical optimality principles in...
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| Formato: | Online |
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| Idioma: | inglês |
| Publicado em: |
MDPI - Multidisciplinary Digital Publishing Institute
2022
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| Acesso em linha: | ONIX_20220111_9783036510347_471 |
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| _version_ | 1869522229501362176 |
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| collection | Directory of Open Access Books |
| description | The Special Issue “Game Theory” of the journal Mathematics provides a collection of papers that represent modern trends in mathematical game theory and its applications. The works address the problem of constructing and implementation of solution concepts based on classical optimality principles in different classes of games. In the case of non-cooperative behavior of players, the Nash equilibrium as a basic optimality principle is considered in both static and dynamic game settings. In the case of cooperative behavior of players, the situation is more complicated. As is seen from presented papers, the direct use of cooperative optimality principles in dynamic and differential games may bring time or subgame inconsistency of a solution which makes the cooperative schemes unsustainable. The notion of time or subgame consistency is crucial to the success of cooperation in a dynamic framework. In the works devoted to dynamic or differential games, this problem is analyzed and the special regularization procedures proposed to achieve time or subgame consistency of cooperative solutions. Among others, special attention in the presented book is paid to the construction of characteristic functions which determine the power of coalitions in games. The book contains many multi-disciplinary works applied to economic and environmental applications in a coherent manner. |
| format | Online |
| id | doab-20.500.12854ir-76736 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-767362024-03-28T03:32:20Z Game Theory Petrosyan, Leon pursuit control functions integral constraints strategies value of the game decision-making game theory project management differential games cooperative differential games Time Consistency IDP-core IDP dominance two-sided platform market pricing Hotelling’s duopoly on the plane Nash equilibrium optimal location of platforms prescribed duration characteristic function environmental resource management pollution control discrete-time games cooperation the core linear transformation time consistency multistage game chance moves subgame perfect equilibria cooperative trajectory imputation distribution procedure random time horizon time until failure discounted equilibrium weibull distribution chen distribution equivalence principle cooperative game satisfaction criteria proportional value axiomatization cooperative stochastic game strong subgame consistency core dynamic games multicriteria games Nash bargaining solution dynamic stability rational behavior conditions Shapley-Solidarity value coalition structure potential bidding mechanism thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science The Special Issue “Game Theory” of the journal Mathematics provides a collection of papers that represent modern trends in mathematical game theory and its applications. The works address the problem of constructing and implementation of solution concepts based on classical optimality principles in different classes of games. In the case of non-cooperative behavior of players, the Nash equilibrium as a basic optimality principle is considered in both static and dynamic game settings. In the case of cooperative behavior of players, the situation is more complicated. As is seen from presented papers, the direct use of cooperative optimality principles in dynamic and differential games may bring time or subgame inconsistency of a solution which makes the cooperative schemes unsustainable. The notion of time or subgame consistency is crucial to the success of cooperation in a dynamic framework. In the works devoted to dynamic or differential games, this problem is analyzed and the special regularization procedures proposed to achieve time or subgame consistency of cooperative solutions. Among others, special attention in the presented book is paid to the construction of characteristic functions which determine the power of coalitions in games. The book contains many multi-disciplinary works applied to economic and environmental applications in a coherent manner. 2022-01-11T13:40:33Z 2022-01-11T13:40:33Z 2021 book ONIX_20220111_9783036510347_471 9783036510347 9783036510354 https://directory.doabooks.org/handle/20.500.12854/76736 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/4185 https://mdpi.com/books/pdfview/book/4185 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-1035-4 10.3390/books978-3-0365-1035-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036510347 9783036510354 248 Basel, Switzerland open access |
| spellingShingle | pursuit control functions integral constraints strategies value of the game decision-making game theory project management differential games cooperative differential games Time Consistency IDP-core IDP dominance two-sided platform market pricing Hotelling’s duopoly on the plane Nash equilibrium optimal location of platforms prescribed duration characteristic function environmental resource management pollution control discrete-time games cooperation the core linear transformation time consistency multistage game chance moves subgame perfect equilibria cooperative trajectory imputation distribution procedure random time horizon time until failure discounted equilibrium weibull distribution chen distribution equivalence principle cooperative game satisfaction criteria proportional value axiomatization cooperative stochastic game strong subgame consistency core dynamic games multicriteria games Nash bargaining solution dynamic stability rational behavior conditions Shapley-Solidarity value coalition structure potential bidding mechanism thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Game Theory |
| title | Game Theory |
| title_full | Game Theory |
| title_fullStr | Game Theory |
| title_full_unstemmed | Game Theory |
| title_short | Game Theory |
| title_sort | game theory |
| topic | pursuit control functions integral constraints strategies value of the game decision-making game theory project management differential games cooperative differential games Time Consistency IDP-core IDP dominance two-sided platform market pricing Hotelling’s duopoly on the plane Nash equilibrium optimal location of platforms prescribed duration characteristic function environmental resource management pollution control discrete-time games cooperation the core linear transformation time consistency multistage game chance moves subgame perfect equilibria cooperative trajectory imputation distribution procedure random time horizon time until failure discounted equilibrium weibull distribution chen distribution equivalence principle cooperative game satisfaction criteria proportional value axiomatization cooperative stochastic game strong subgame consistency core dynamic games multicriteria games Nash bargaining solution dynamic stability rational behavior conditions Shapley-Solidarity value coalition structure potential bidding mechanism thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | pursuit control functions integral constraints strategies value of the game decision-making game theory project management differential games cooperative differential games Time Consistency IDP-core IDP dominance two-sided platform market pricing Hotelling’s duopoly on the plane Nash equilibrium optimal location of platforms prescribed duration characteristic function environmental resource management pollution control discrete-time games cooperation the core linear transformation time consistency multistage game chance moves subgame perfect equilibria cooperative trajectory imputation distribution procedure random time horizon time until failure discounted equilibrium weibull distribution chen distribution equivalence principle cooperative game satisfaction criteria proportional value axiomatization cooperative stochastic game strong subgame consistency core dynamic games multicriteria games Nash bargaining solution dynamic stability rational behavior conditions Shapley-Solidarity value coalition structure potential bidding mechanism thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220111_9783036510347_471 |