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 prin...

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Other Authors: Petrosyan, Leon (Editor)
Format: Electronic Book Chapter
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
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DOAB: description of the publication
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520 |a 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. 
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546 |a English 
650 7 |a Research & information: general  |2 bicssc 
650 7 |a Mathematics & science  |2 bicssc 
653 |a pursuit 
653 |a control functions 
653 |a integral constraints 
653 |a strategies 
653 |a value of the game 
653 |a decision-making 
653 |a game theory 
653 |a project management 
653 |a differential games 
653 |a cooperative differential games 
653 |a Time Consistency 
653 |a IDP-core 
653 |a IDP dominance 
653 |a two-sided platform market 
653 |a pricing 
653 |a Hotelling's duopoly on the plane 
653 |a Nash equilibrium 
653 |a optimal location of platforms 
653 |a prescribed duration 
653 |a characteristic function 
653 |a environmental resource management 
653 |a pollution control 
653 |a discrete-time games 
653 |a cooperation 
653 |a the core 
653 |a linear transformation 
653 |a time consistency 
653 |a multistage game 
653 |a chance moves 
653 |a subgame perfect equilibria 
653 |a cooperative trajectory 
653 |a imputation distribution procedure 
653 |a random time horizon 
653 |a time until failure 
653 |a discounted equilibrium 
653 |a weibull distribution 
653 |a chen distribution 
653 |a equivalence principle 
653 |a cooperative game 
653 |a satisfaction criteria 
653 |a proportional value 
653 |a axiomatization 
653 |a cooperative stochastic game 
653 |a strong subgame consistency 
653 |a core 
653 |a dynamic games 
653 |a multicriteria games 
653 |a Nash bargaining solution 
653 |a dynamic stability 
653 |a rational behavior conditions 
653 |a Shapley-Solidarity value 
653 |a coalition structure 
653 |a potential 
653 |a bidding mechanism 
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856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/76736  |7 0  |z DOAB: description of the publication