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Robertsʼ Theorem with neutrality: A social welfare ordering approach

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  • Mishra, Debasis
  • Sen, Arunava

Abstract

We consider dominant strategy implementation in private values settings, when agents have multi-dimensional types, the set of alternatives is finite, monetary transfers are allowed, and agents have quasi-linear utilities. We focus on private-value environments. We show that any implementable and neutral social choice function must be a weighted welfare maximizer if the type space of every agent is an m-dimensional open interval, where m is the number of alternatives. When the type space of every agent is unrestricted, Robertsʼ Theorem with neutrality (Roberts, 1979) becomes a corollary to our result. Our proof technique uses a social welfare ordering approach, commonly used in aggregation literature in social choice theory. We also prove the general (affine maximizer) version of Robertsʼ Theorem for unrestricted type spaces of agents using this approach.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 75 (2012)
Issue (Month): 1 ()
Pages: 283-298

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Handle: RePEc:eee:gamebe:v:75:y:2012:i:1:p:283-298

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Web page: http://www.elsevier.com/locate/inca/622836

Related research

Keywords: Dominant strategy mechanism design; Robertsʼ Theorem; Affine maximizers; Social welfare ordering;

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  1. 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.
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Cited by:
  1. Debasis Mishra & Abdul Quadir, 2012. "Deterministic single object auctions with private values," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 12-06, Indian Statistical Institute, New Delhi, India.
  2. Juan Carlos Carbajal & Andrew McLennan & Rabee Tourky, 2012. "Truthful Implementation and Preference Aggregation in Restricted Domains," Discussion Papers Series 459, School of Economics, University of Queensland, Australia.

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