Expected Value and Expected Utility: How to Compare Decisions Under Risk and Uncertainty
Expected Value and Expected Utility examines the formal foundations of choice under uncertainty. The article argues that expected value provides a clear probabilistic benchmark by weighting outcomes by their likelihood, but that expected utility becomes necessary when decision-makers value outcomes subjectively and respond differently to risk. It develops this through the logic of expected value, utility functions, Bernoulli’s response to the St. Petersburg paradox, the role of risk aversion, the limits of these models under behavioral distortion and deep uncertainty, and their extension into modern decision science through scenario analysis, robustness, and adaptive frameworks. The article emphasizes that these concepts remain essential not because they deliver automatic answers, but because they clarify how probability, consequence, and preference are being combined when decisions are made under uncertainty.







