International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2010 · 17 citations · 11 references
Social SciencesComputer ScienceDecision MakingGame TheoryOptimizationAlgorithmic Game TheoryExploration-exploitation TradeoffNash EquilibriumValue FunctionsComputational Game TheoryEntropy MinimizationFuzzy GamesGame Math ModelingGame-theoretic Decision ModelsGame-theoretic Optimization
In this paper, we propose a new mathematical model to analyze bimatrix goal game under entropy environment. This new approach incorporates the entropy function of the players as an objective to the bimatrix game. The solution concepts behind this game are based on getting the probability to achieve some specified goals. We consider the solution, not only by the payoff values, but also by the probability to get them. Numerical examples are presented to illustrate the methodology in the paper.
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L. A. Zadeh · Information and Control · 1965 · 66.1K citations
Information Theory and Statistical Mechanics. II
E. T. Jaynes · Physical Review · 1957 · 3.2K citations
Dynamic noncooperative game theory
European Journal of Operational Research · 1995 · 1.1K citations
On Fuzzy-Mathematical Programming
Hideo Tanaka, Tetsuji Okuda, Kiyoji Asai · Journal of Cybernetics · 1973 · 614 citations