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A novel uncertain bimatrix game with Hurwicz criterion

  • Min Tang
  • Zhiguo LiEmail author
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Abstract

In an uncertain bimatrix game, different uncertain equilibrium strategies have been proposed based on different criterions, such as expected value criterion, optimistic value criterion and uncertain measure criterion. This paper further presents an uncertain bimatrix game with Hurwicz criterion and defines a new solution concept Hurwicz Nash equilibrium. Furthermore, its existence theorem is also proved, and a sufficient and necessary condition is presented to find the Hurwicz Nash equilibrium. Finally, an example is provided for illustrating the usefulness of Hurwicz Nash equilibrium.

Keywords

Uncertainty theory Uncertain game Nash equilibrium Hurwicz criterion 

Notes

Funding

This work was supported by The National Social Science Fund of China (Project No.: 17BGL203).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.

Ethical approval

This article does not contain any studies with human participants performed by any of the authors.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of ManagementChongqing Technology and Business UniversityChongqingChina

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