The normalized expected utility: entropy and variance model for decisions under risk

Abstract

The normalized expected utility - entropy and variance (NEU-EV) decision model and associated risk measure are proposed for the analysis and modelling of decisions under risk. The model depends on normalized entropy and variance and expected utility, can be applied to decision problems depending on actions, where the states have different numbers of outcomes. Several properties of risk perception and examples of certainty effects, common ratio effects and common consequence effects are analysed using this model, considering actions with non-negative outcomes. The results show that the NEU-EV model is an adequate model for explaining these risk decision problems.