The expected value of the utility function applied to a random outcome, using the decision-maker's probabilities. For a finite lottery it is . Under risk neutrality and quasilinear utility, auction utility is valuation minus payment upon winning and zero upon losing, so its expectation is the winning probability times the payoff conditional on winning.
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Expected utility is a fundamental concept in decision theory and economics that provides a framework for evaluating choices under uncertainty. It is based on the idea that individuals make decisions by considering the potential outcomes of their choices, each associated with its likelihood of occurring, and assigning a utility value to each outcome. Here's a breakdown of the main components of expected utility: 1. **Outcomes**: These are the different possible results of a decision or action.