Robertsʼ Theorem with neutrality: A social welfare ordering approach
AbstractWe 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 InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 75 (2012)
Issue (Month): 1 ()
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Web page: http://www.elsevier.com/locate/inca/622836
Dominant strategy mechanism design; Robertsʼ Theorem; Affine maximizers; Social welfare ordering;
Other versions of this item:
- Debasis Mishra & Arunava Sen, 2010. "Roberts' theorem with neutrality: A Social welfare ordering approach," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 10-03, Indian Statistical Institute, New Delhi, India.
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
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