Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jet.2004.11.006
Title: Anonymous monotonic social welfare functions
Authors: Sethuraman, J.
Teo, C.-P. 
Vohra, R.V.
Keywords: Majority rule
Partially ordered sets
Single-peaked domain
Social welfare function
Issue Date: 2006
Source: Sethuraman, J., Teo, C.-P., Vohra, R.V. (2006). Anonymous monotonic social welfare functions. Journal of Economic Theory 128 (1) : 232-254. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jet.2004.11.006
Abstract: This paper presents two results about preference domain conditions that deepen our understanding of anonymous and monotonic Arrovian social welfare functions (ASWFs). We characterize the class of anonymous and monotonic ASWFs on domains without Condorcet triples. This extends and generalizes an earlier characterization (as Generalized Majority Rules) by Moulin (Axioms of Cooperative Decision Making, Cambridge University Press, New York, 1988) for single-peaked domains. We also describe a domain where anonymous and monotonic ASWFs exist only when there are an odd number of agents. This is a counter-example to a claim by Muller (Int. Econ. Rev. 23 (1982) 609), who asserted that the existence of 3-person anonymous and monotonic ASWFs guaranteed the existence of n-person anonymous and monotonic ASWFs for any n > 3. Both results build upon the integer programming approach to the study of ASWFs introduced in Sethuraman et al. (Math. Oper. Res. 28 (2003) 309). © 2005 Elsevier Inc. All rights reserved.
Source Title: Journal of Economic Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/44049
ISSN: 00220531
DOI: 10.1016/j.jet.2004.11.006
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