2020/02/19 by Ali Yekkehkhany, Yekkehkhany, Ali, Timothy Murray +3 · 2 citations
Decision Sciences · Economics, Econometrics and Finance · #Computer Science and Game Theory (cs.GT) #Decision-Making and Behavioral Economics #Economic theories and models #FOS: Computer and information sciences #Risk and Portfolio Optimization
paper · pdf · doi:10.48550/arxiv.2002.08414
openalex publication_date 2020/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The term rational has become synonymous with maximizing expected payoff in the definition of the best response in Nash setting. In this work, we consider stochastic games in which players engage only once, or at most a limited number of times. In such games, it may not be rational for players to maximize their expected payoff as they cannot wait for the Law of Large Numbers to take effect. We instead define a new notion of a risk-averse best response, that results in a risk-averse equilibrium (RAE) in which players choose to play the strategy that maximizes the probability of them being rewarded the most in a single round of the game rather than maximizing the expected received reward, subject to the actions of other players. We prove the risk-averse equilibrium to exist in all finite games and numerically compare its performance to Nash equilibrium in finite-time stochastic games.