Quasi-Concavity, Convexity of Optimal Actions, and the Local Single-Crossing Property

Kailin Chen

Papers from arXiv.org

Abstract: This note presents two results. First, it shows that under mild conditions, a decision problem is quasi-concave if the set of optimal actions is convex under every belief. Second, it shows that if a decision problem is quasi-concave, then it satisfies the local single crossing property after relabeling the states.

Date: 2026-01
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