A Novel Optimal Strategy for Communication System in the Maritime Industry Based on Game Theory

Abstract

In this paper, we employ convex optimization and the saddle point equation to find the two-player optimal payoff in iterated rock-paper-scissors game. We also describe the equivalent of payoff written in a two-person non-zero-sum matrix in the hypothetical game system, which provides a possible way to make quantitative analyses. In addition, we use the interior-point methods to simulate rock-paper-scissors game and our numerical results verify that our hypothesis of the payoff equation, $\underset{Y}{\max }\underset{X}{\min }{Y}^{T}AX=\underset{X}{\min }\underset{Y}{\max }{Y}^{T}AX$ , can still work very well even if $A$ changes with the payoff $g$ , but it is never affected by other factors.