Convex Choice

Narvin Kartik () and Andreas Kleiner ()

CRC TR 224 Discussion Paper Series from University of Bonn and University of Mannheim, Germany

Abstract: For multidimensional Euclidean type spaces, we study convex choice: from any choice set, the set of types that make the same choice is convex. We establish that, in a suitable sense, this property characterizes the sufficiency of local incentive constraints. Convex choice is also of interest more broadly, e.g., in cheaptalk games. We tie convex choice to a notion of directional single-crossing differences (DSCD). For an expected-utility agent choosing among lotteries, DSCD implies that preferences are either one-dimensional or must take the affine form that has been tractable in multidimensional mechanism design.

Keywords: single crossing; incentive compatibility; mechanism design; cheap talk (search for similar items in EconPapers)
JEL-codes: D82 (search for similar items in EconPapers)
Pages: 39
Date: 2025-03
New Economics Papers: this item is included in nep-dcm, nep-des and nep-mic
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