An analysis of mutual deterrence stability based on evolutionary game approach

In crisis management and conflict analysis, it is an unsolved problem whether pairwise mutual deterrence has stability. From the perspective of evolutionary game, this paper gives the direct approach for Evolutionary Stable Strategy (ESS) of 3×3 and 4×4 hawk–dove game extension models, provides the phase portraits of 3×3 hawk–dove extension game, and concludes that deterrence strategies are ESSs. The conclusion is a persuasive explanation for the problem.