کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419994 | 1631781 | 2016 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The payoff matrix of repeated asymmetric 2Ã2 games
The payoff matrix of repeated asymmetric 2Ã2 games](/preview/png/6419994.png)
Many researches in game theory have been devoted to study the symmetric contest between the contestants. This is due to the computational advantage in this type of game. In contrast, asymmetric games are more complicated in mathematical computations than the symmetric one. This article is particularly interested in the model of asymmetric games. In this model, we cannot interchange the identities of the players without interchanging the payoff of the strategies. This model differs from the symmetric model, where each player has two different choices from the two choices of the other one. We consider that the round of the game is infinitely repeated (infinitely repeated and asymmetric 2Ã2 game). The payoff matrix corresponding to all possible strategies of the game is obtained. Furthermore, we will apply the resulting matrix in two examples. During this, we will draw the attention towards the behavior of some of the strategies and the evolutionary stability.
Journal: Applied Mathematics and Computation - Volume 274, 1 February 2016, Pages 393-402