Role of satisfaction in resource accumulation and profit allocation: A fuzzy game theoretic model
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In this paper, we develop an algorithm for forming fuzzy coalitions by accumulating resources from a finite set of rational agents and allocating profits accordingly under the framework of a fuzzy cooperative game. The underlying assumption is that this process is dynamic in nature and is influenced by the players' satisfactions over both resource accumulation and profit allocations. Our model is based on situations, where possibly one or more players compromise on their resource assignment and payoff allocations in order to make a binding agreement with the others.Keywords:
Stochastic game
Compromise
Cooperative game theory
The article is consider three different mechanisms of project’s profit sharing, assuming that the projects have common resource pool and both resources and profit may be distributed at arbitrary way without losses. The resources and profit distribution mechanisms are based on cooperative game theory thesis. As three different alternatives, such cooperative game solutions, as Shapley value, nucleolus ant τ-value are proposed. The calculation routine is delivered by easy typical example.
Shapley Value
Cooperative game theory
Profit sharing
Shared resource
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The utility allocation is a key problem when grid virtualized resource providers form coalition to complete grid tasks.Aiming at the situation that grid resource providers form coalition to increase overall utility,the cooperative game theory was applied to research the grid resource allocation.The basis of forming resource coalition was provided,and an optimal resource allocation was presented by MIN_COST algorithm based on the minimum cost.For the utility allocation,we made some analyses from two aspects,including average allocation and Shapley value allocation of coalition utility,and proposed an allocation strategy of coalition utility based on Shapley value.The numerical results show that the grid resource coalition can improve the executing efficiency of tasks and the entire resource revenue,and the Shapley value is feasible in balancing utility allocation among coalition members.
Shapley Value
Cooperative game theory
Resource Management
Transferable utility
Cost allocation
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Cooperative game theory
Reciprocity
Screening game
Positive political theory
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Funding Material, Control and Accountability (MCA however, MC&A upgrade projects in non-traditional environments may be required to take into account situations where the potential payoff vectors among decision-makers may be significantly different. Once a decision-maker is required to take into account the decisions of others, the process can be modeled as a game. Game theory has been previously be used to shed light on many aspects of social and economic behavior where a payoff from a set of strategies is dependent on the strategy of others. In this paper, the application of game theory in the context of MC&A upgrades is discussed. Various MC&A upgrades decision payoff matrices for relevant circumstances are evaluated for static (simultaneous) and dynamic (sequential decisions) games. Optimal strategies and equilibrium conditions for these payoff matrices are analyzed. Additional game factors (bargaining, uncertain outcomes, moralmore » hazards) that may affect the outcome of the game are briefly discussed. By demonstrating the application of game theory to a nontraditional environment that may require MC&A upgrades, this work increases the understanding out how outcomes are logically connected to the respective value decision-makers assign to choices.« less
Stochastic game
Screening game
Upgrade
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<p>We study the game of tic tac toe played by two expert players aiming at a profit payoff which is introduced in the research as a new concept. The studied showed that a profit payoff is unattainable by two expert players, leading they generalize game to an infinite loop. Making two expert players game aiming at a profit payoff one example of the halting problem.</p>
Stochastic game
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The aim of this paper is to give a survey on several well-known compromise values in cooperative game theory and its applications. Special attention is paid to the τ-value for TU-games, the Raiffa-Kalai-Smorodinsky solution for bargaining problems, and the compromise value for NTU-games.
Compromise
Cooperative game theory
Value (mathematics)
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We analyze a game of two-sided private information where players have privately known “strengths” and can decide to fight or compromise. If either chooses to fight, the stronger player receives a high payoff and the weaker player receives a low payoff. If both choose to compromise, each player receives an intermediate payoff. The only equilibrium is for players to always fight. In our experiment, we observe frequent compromise, more fighting the lower the compromise payoff and less fighting by first than second movers. We explore several theories of cognitive limitations in an attempt to understand these anomalous findings. (JEL C91, D82)
Compromise
Stochastic game
Adverse selection
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It is a key problem to allocate the utility when grid resources form coalition to complete grid tasks as well as to increase overall utility. Aim at the situation, firstly, the cooperative game theory is applied to build resource coalition. Secondly, an optimal resource allocation is presented by Min-Cost algorithm based on the minimum cost and a new grid resource utility allocation algorithm based on Sharpley value is proposed. At last, the numerical results of the grid example show that the grid resource coalition can not only improve the executing efficiency of tasks, but also trade off the utility allocation among coalition members.
Shapley Value
Resource Management
Cooperative game theory
Transferable utility
Value (mathematics)
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The aim of this paper is to give a survey on several well-known compromise values in cooperative game theory and its applications. Special attention is paid to the τ-value for TU-games, the Raiffa-Kalai-Smorodinsky solution for bargaining problems, and the compromise value for NTU-games.
Compromise
Cooperative game theory
Value (mathematics)
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