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Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation

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

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.

Suggested Citation

  • Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, July.
  • Handle: RePEc:ecm:emetrp:v:74:y:2006:i:4:p:1109-1132
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    File URL: http://hdl.handle.net/10.1111/j.1468-0262.2006.00695.x
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