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Loss Aversion and State-Dependent Linear Utility Functions for Monetary Returns (2410.19030v3)

Published 24 Oct 2024 in econ.TH, cs.GT, math.OC, and q-fin.PM

Abstract: We present a theory of expected utility with state-dependent linear utility functions for monetary returns, that incorporates the possibility of loss-aversion. Our results relate to first order stochastic dominance, mean-preserving spread, increasing-concave linear utility profiles and risk aversion. As an application of the expected utility theory developed here, we analyze the contract that a monopolist would offer in an insurance market that allowed for partial coverage of loss.

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