Kajian Kesetimbangan Nash dan Metode Swastika dalam Teori Permainan dan Penerapannya

Abstract

In game theory, the settlement for a two-sided zero-sum game is based on whether there is a saddle point in the payout matrix. When there is a saddle point, then the solution would be done with a pure strategy, but if there is no saddle point then you can use a mixed strategy. For a non-zero sum game without cooperation the optimal result must reach a Nash equilibrium, because the Nash theorem guarantees that there is at least one equilibrium pair. Then, to say that an equilibrium pair must fulfill the necessary and sufficient conditions in a bimatrix game. In solving game theory, one of the methods that can be used to find an equilibrium pair is the Swastika Method, which is to look for opportunities from each strategy so that the expected value of the win is obtained. From the application of the case produces an equilibrium pair, namely (-9,-9). meaning that both players admit to each other that if they die, they will get 9 years in prison each.