An alternative proof of Gibbard's random dictatorship result

Shasikanta Nandeibam
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Shasikanta Nandeibam: Department of Economics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom

Social Choice and Welfare, 1998, vol. 15, issue 4, 509-519

Abstract: By using a line of reasoning similar to the one used by Gibbard (Gibbard A (1973) Econometrica 41: 587-601) in the deterministic framework, we provide a more transparent and intuitive proof of the following random dictatorship result in the probabilistic framework, which is a corollary credited to H. Sonnenschein of the more general result of Gibbard (Gibbard A (1977) Econometrica 45: 665-681): A decision scheme is Pareto optimific ex post and strategy proof if and only if it is a random dictatorship.

Date: 1998-08-06
Note: Received: 13 February 1996 / Accepted: 14 April 1997
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