Threshold models of mutual insurance

摘要

Game-theoretic models of mutual insurance are considered. Here a player chooses between participating in a mutual insurance fund or not. Player's behavior depends on its risk aversion. Using a scalar coefficient of agent's risk aversion degree, we define utility functions leading to the threshold behavior of agents. Next, the game-theoretic models of anonymous and non-anonymous insurants are studied and Nash equilibrium conditions are established for both models.