Algebraic Formulation and Nash Equilibrium of Competitive Diffusion Games

Haitao Li (), Xueying Ding, Qiqi Yang and Yingrui Zhou
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Haitao Li: Shandong Normal University
Xueying Ding: Shandong Normal University
Qiqi Yang: Shandong Normal University
Yingrui Zhou: Shandong Normal University

Dynamic Games and Applications, 2018, vol. 8, issue 2, No 9, 423-433

Abstract: Abstract This paper investigates the algebraic formulation and Nash equilibrium of competitive diffusion games by using semi-tensor product method, and gives some new results. Firstly, an algebraic formulation of competitive diffusion games is established via the semi-tensor product of matrices, based on which all the fixed points (the end of the diffusion process) are obtained. Secondly, using the algebraic formulation, a necessary and sufficient condition is presented for the verification of pure-strategy Nash equilibrium. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained new results.

Keywords: Competitive diffusion game; Pure-strategy Nash equilibrium; Algebraic formulation; Semi-tensor product of matrices (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13235-017-0228-4

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