Harsanyi’s ‘Utilitarian Theorem’ and Utilitarianism
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Measurement-Theoretic Foundations of Preference Aggregation Logic for Weighted Utilitarianism
Harsanyi [4, 5] develops expected utility theory of von Neumann and Morgenstern [21] to provide two formalizations of utilitarianism. Weymark [22, 23] refers to these results as Harsanyi’s Aggregation and Impartial Observer Theorems. In this paper, we are concerned only with Aggregation Theorem. Sen [6] argues that von Neumann-Morgenstern expected utility theory is an ordinal theory and, theref...
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We provide an axiomatization of expected equally-distributed equivalent-utility social welfare functions in the context of Harsanyi’s impartial observer theorem. For this family of social welfare functions, we show what additional axiom is necessary and suffi cient for the observer to exhibit aversion to ex post inequality. We also relate this axiomatization to our axiomatization in a companion...
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A simple linear programming problem permits a brief and elementary proof of Harsanyi’s utilitarianism theorem: a Paretian social welfare function must be a weighted (affine) sum of individual utility functions when individual utilities and social welfare all take the Neumann–Morgenstern form. By adjusting the programming problem slightly, we conclude that the weights on individual utilities are...
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