Nash Implementation with Lottery mechanisms

Bochet, Olivier (2007). Nash Implementation with Lottery mechanisms. Social choice and welfare, 28(1), pp. 111-125. Berlin: Springer 10.1007/s00355-006-0158-3

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Consider the problem of exact Nash Implementation of social choice correspondences. Define a lottery mechanism as a mechanism in which the planner can randomize on alternatives out of equilibrium while pure alternatives are always chosen in equilibrium. When preferences over alternatives are strict, we show that Maskin monotonicity (Maskin in Rev Econ stud 66: 23–38, 1999) is both necessary and sufficient for a social choice correspondence to be Nash implementable. We discuss how to relax the assumption of strict preferences. Next, we examine social choice correspondences with private components. Finally, we apply our method to the issue of voluntary implementation (Jackon and Palfrey in J Econ Theory 98: 1–25, 2001).

Item Type:

Journal Article (Original Article)

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Department of Economics

UniBE Contributor:

Bochet, Olivier

ISSN:

0176-1714

Publisher:

Springer

Language:

English

Submitter:

Factscience Import

Date Deposited:

04 Oct 2013 15:24

Last Modified:

05 Dec 2022 14:26

Publisher DOI:

10.1007/s00355-006-0158-3

Web of Science ID:

000243378900007

BORIS DOI:

10.48350/37933

URI:

https://boris.unibe.ch/id/eprint/37933 (FactScience: 217544)

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