Nash equilibrium strategy for two-person zero-sum matrix games on credibility space

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  • Somayeh Haghayeghi,
  • Fatemeh Madandar,

Published in Issue 2025-11-09

How to Cite

Nash equilibrium strategy for two-person zero-sum matrix games on credibility space. (2025). Communications in Nonlinear Analysis, 5(1). https://oiccpress.com/cna/article/view/17908

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Abstract

In this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain theexpected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expectedvalue Nash equilibrium strategy of the fuzzy games. In other words, we extend the expected model to fuzzytrapezoidal variables and improve the previous researches in this area. However, in some cases, the gamedoesn't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibriumand weak Pareto Nash equilibrium strategies in these cases.

Keywords

  • Matrix game,
  • fuzzy payoffs,
  • Nash equilibrium,
  • fuzzy trapezoidal variables
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References

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