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Local incentive compatibility in ordinal type-spaces

Ujjwal Kumar and Souvik Roy

MPRA Paper from University Library of Munich, Germany

Abstract: We explore the relation between different notions of local incentive compatibility (LIC) and incentive compatibility (IC) on ordinal type-spaces. In this context, we introduce the notion of ordinal local global equivalent (OLGE) and cardinal local global equivalent (CLGE) environments. First, we establish the equivalence between the two environments on strict ordinal type-spaces. Next, we consider ordinal type-spaces admitting indifference. We introduce the notion of almost everywhere IC and strong LIC, and provide a necessary and sufficient condition on ordinal type spaces for their equivalence. Finally, we provide results on how to (minimally) check the IC property of a given mechanism on any ordinal type-space and show that local types along with the boundary types form a minimal set of incentive constraints that imply full incentive compatibility.

Keywords: point-wise local incentive compatibility; adjusted local incentive compatibility; uniform local incentive compatibility; (global) incentive compatibility; ordinal type-spaces (search for similar items in EconPapers)
JEL-codes: D44 D47 D82 (search for similar items in EconPapers)
Date: 2021-12-06
New Economics Papers: this item is included in nep-cta, nep-des and nep-mic
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