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Convex Choice

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  • Navin Kartik
  • Andreas Kleiner

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. 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.

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  • Navin Kartik & Andreas Kleiner, 2024. "Convex Choice," Papers 2406.19063, arXiv.org.
    • Handle: RePEc:arx:papers:2406.19063
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    File URL: http://arxiv.org/pdf/2406.19063
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