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Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation

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Author Info
Sushil Bikhchandani
Shurojit Chatterji
Ron Lavi
Ahuva Mu'alem
Noam Nisan
Arunava Sen

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Abstract

We characterize dominant-strategy incentive compatibility with multidimensional types. A deterministic social choice function is dominant-strategy incentive compatible if and only if it is weakly monotone (W-Mon). The W-Mon requirement is the following: If changing one agent's type (while keeping the types of other agents fixed) changes the outcome under the social choice function, then the resulting difference in utilities of the new and original outcomes evaluated at the new type of this agent must be no less than this difference in utilities evaluated at the original type of this agent. Copyright The Econometric Society 2006.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2006.00695.x
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 74 (2006)
Issue (Month): 4 (07)
Pages: 1109-1132
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Handle: RePEc:ecm:emetrp:v:74:y:2006:i:4:p:1109-1132

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  1. Heydenreich, Birgit & Müller, Rudolf & Uetz, Marc & Vohra, Rakesh, 2008. "Characterization of Revenue Equivalence," Research Memoranda 001, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  2. Ron Lavi & Ahuva Mu’alem & Noam Nisan, 2009. "Two simplified proofs for Roberts’ theorem," Social Choice and Welfare, Springer, vol. 32(3), pages 407-423, March. [Downloadable!] (restricted)
  3. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer, vol. 37(3), pages 469-490, December. [Downloadable!] (restricted)
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