Vector-Adjusted Expected Utility

Marciano Siniscalchi

No 191, Working Papers from IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University

Abstract: This paper proposes a representation of (possibly) probabilistically unsophisticated preferences whereby (1) beliefs are jointly represented by a finitely additive probability measure and a vector-valued measure; (2) uncertain prospects are ranked according to the difference between a baseline expected utility evaluation and an adjustment term; and (3) the latter is the norm of the vector-valued expected utility of the prospect under consideration. Vector-valued measures are employed to represent the extent to which ambiguity about different events “cancels out” or “adds up”, as revealed by the decision maker’s preferences. The proposed representation, vector-adjusted expected utility (VEU), is shown to be consistent with the maxmin-expected utility model (MEU). A necessary and sufficient condition characterizing the class of VEU preferences within the MEU family of preferences is provided.

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