μ–σ Games

μ–σ Games

Blog Article

Risk aversion in game theory is usually modeled using expected utility, which was criticized early on, leading to an extensive literature on generalized expected utility.In this paper we are Felt Hats the first to apply $\mu$–$\sigma$ theory to the analysis of (static) games.$\mu$–$\sigma$ theory is widely accepted in the finance literature; using it allows us to study the effect on uncertainty endogenous to the game, i.e.

, mixed equilibria.In Wheelchair and Seat Cushions particular, we look at the case of linear $\mu$–$\sigma$ utility functions and determine the best response strategy.In the case of 2 × 2 and N × M games, we are able to characterize all mixed equilibria.