Proceedings ArticleDOI
An irrational behavior proof condition for multistage multicriteria games
Denis Kuzyutin,Mariya Nikitina +1 more
- pp 178-181
TLDR
A recurrent payment schedule that satisfies such advantageous properties as the efficiency condition, non-negativity and irrational behavior proofness is designed.Abstract:
We use the payment schedule based approach to ensure stable cooperation in multistage games with vector payoffs. On the example of the Shapley value in multicriteria game it is shown that the irrational behavior proof condition and the balance condition may be incompatible. We design a recurrent payment schedule that satisfies such advantageous properties as the efficiency condition, non-negativity and irrational behavior proofness.read more
Citations
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Book
博弈论 : 矛盾冲突分析 = Game theory : analysis of conflict
Roger B. Myerson,剣平 費 +1 more
TL;DR: This chapter discusses Decision-Theoretic Foundations, Game Theory, Rationality, and Intelligence, and the Decision-Analytic Approach to Games, which aims to clarify the role of rationality in decision-making.
Journal ArticleDOI
Sustainable cooperation in multicriteria multistage games
TL;DR: A refined leximin algorithm is suggested to choose a particular Pareto optimal and time consistent strategy profile and the corresponding cooperative trajectory and a characteristic function for a multistage multicriteria game is designed.
Journal ArticleDOI
Long-term implementation of the cooperative solution in a multistage multicriteria game
TL;DR: The conditions an IDP should satisfy to guarantee that the core is strongly time consistent (STC) are formulated and three payment schedules are discussed and checked whether they can be used as supporting imputation distribution procedures for the considered multicriteria game.
Book ChapterDOI
On the Cooperative Behavior in Multistage Multicriteria Game with Chance Moves
Denis Kuzyutin,Denis Kuzyutin,Ekaterina Gromova,Ekaterina Gromova,Nadezhda Smirnova,Nadezhda Smirnova +5 more
TL;DR: A generalization of the incremental payment schedule that is applicable for the games with chance moves and satisfies such advantageous properties as the efficiency, strict balance condition and the time consistency property in the whole game.
Journal ArticleDOI
Subgame consistent cooperative behavior in an extensive form game with chance moves
Denis Kuzyutin,Nadezhda Smirnova +1 more
TL;DR: The imputation distribution procedure (IDP) based approach is employed, that is, an appropriate payment schedule is designed to redistribute each player’s optimal payoff along the optimal bundle of cooperative trajectories and it is proved that incremental IDP satisfies subgame consistency, subgame efficiency and balance condition.
References
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Book
博弈论 : 矛盾冲突分析 = Game theory : analysis of conflict
Roger B. Myerson,剣平 費 +1 more
TL;DR: This chapter discusses Decision-Theoretic Foundations, Game Theory, Rationality, and Intelligence, and the Decision-Analytic Approach to Games, which aims to clarify the role of rationality in decision-making.
Book
Vector Optimization: Theory, Applications, and Extensions
TL;DR: Theories of Vector Optimization: Optimality Notions, Scalarization, and Duality, and Mathematical Applications.
Journal ArticleDOI
The core of a cooperative game without side payments
TL;DR: The core of an M-person game with side payments was defined by Gillies as discussed by the authors, and the core is defined to be the subset of outcomes maximal with respect to the dominance relation.
Journal ArticleDOI
Time-consistent Shapley value allocation of pollution cost reduction☆
TL;DR: In this paper, the problem of allocation over time of total cost incurred by countries in a cooperative game of pollution reduction is studied, where the Shapley value is applied to determine a fair distribution of the total cooperative cost among players.