Existence and Generalization of Extended Nash Equilibriums of Nonmonetized Noncooperative Games


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Authors

  • Soniya Patel Department of Mathematics, Govt. Autonomous P.G. College, Satna, Madhya Pradesh, India
  • R. S. Patel Department of Mathematics, Govt. Autonomous P.G. College, Satna, Madhya Pradesh, India

Keywords:

partially ordered set, fixed point, nonmonetized noncooperative game, extended Nash equilibrium

Abstract

In this paper, we consider extended Nash equilibriums of nonmonetized noncooperative games. By using a modified fixed point theorem of set-valued mappings on partially ordered sets, we prove an existence theorem of extended Nash equilibriums of the nonmonetized noncooperative game. Finally, an example is given to illustrate the advantages of our results.

 

Author Biographies

Soniya Patel, Department of Mathematics, Govt. Autonomous P.G. College, Satna, Madhya Pradesh, India

 

 

R. S. Patel, Department of Mathematics, Govt. Autonomous P.G. College, Satna, Madhya Pradesh, India

 

 

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Published

24-04-2023

How to Cite

Soniya Patel, & R. S. Patel. (2023). Existence and Generalization of Extended Nash Equilibriums of Nonmonetized Noncooperative Games. International Journal of Mathematics And Its Applications, 11(2), 1–10. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/965

Issue

Vol. 11 No. 2 (2023)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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