Abstract：Expectation utility theory based on completely rational players is the mainstream model of analyzing classical non-cooperative game. But more and more studies indicate that players show the characteristics of the bounded rationality. Based on the loss aversion, we study the existence and change of the Nash Equilibrium in n-person non-cooperative games. First, we define a safety level reference point, and prove the existence and uniqueness of the reference point. Then, in this situation, we develop a safety level loss aversion equilibrium in n-person non-cooperative games, and prove the existence of the equilibrium with Brouwer fixed point theorem. Finally, through using a simple case, we find that the loss aversion level of the players has an effect on the equilibrium strategies of the n-person non-cooperative games. At the same time, the utilities are also influenced by the loss aversion.
谭春桥, 易文桃. 损失厌恶型n人非合作博弈Nash均衡[J]. 系统工程理论与实践, 2016, 36(6): 1480-1489.
TAN Chunqiao, YI Wentao. An equilibrium of n-person non-cooperative games based on loss aversion. Systems Engineering - Theory & Practice, 2016, 36(6): 1480-1489.
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