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Implementation with Evidence

Listed author(s):
  • Navin Kartik

    (Columbia University [New York])

  • Olivier Tercieux

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

We generalize the canonical problem of Nash implementation by allowing agents to voluntarily provide discriminatory signals, i.e., evidence. Evidence can either take the form of hard information or, more generally, have differential but nonprohibitive costs in different states. In such environments, social choice functions that are not Maskin-monotonic can be implemented. We formulate a more general property, evidence monotonicity, and show that this is a necessary condition for implementation. Evidence monotonicity is also sufficient for implementation in economic environments. In some settings, such as when agents have small preferences for honesty, any social choice function is evidence-monotonic. Additional characterizations are obtained for hard evidence. We discuss the relationship between the implementation problem where evidence provision is voluntary and a hypothetical problem where evidence can be chosen by the planner as part of an extended outcome space.

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Paper provided by HAL in its series PSE - Labex "OSE-Ouvrir la Science Economique" with number halshs-00754592.

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Date of creation: May 2012
Publication status: Published in Theoretical Economics, Econometric Society, 2012, 72 (2), pp.323-355. 〈10.3982/TE723〉
Handle: RePEc:hal:pseose:halshs-00754592
DOI: 10.3982/TE723
Note: View the original document on HAL open archive server: https://hal-pjse.archives-ouvertes.fr/halshs-00754592
Contact details of provider: Web page: https://hal.archives-ouvertes.fr/

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