Random Dictatorship Domains
AbstractA domain of preference orderings is a random dictatorship domain if every strategy- proof random social choice function satisfying unanimity de ned on the domain, is a random dictatorship. Gibbard (1977) showed that the universal domain is a random dictatorship domain. We investigate the relationship between dictatorial and random dictatorship domains. We show that there exist dictatorial domains that are not ran- dom dictatorship domains. We provide stronger versions of the linked domain condition (introduced in Aswal et al. (2003)) that guarantee that a domain is a random dicta- torship domain. A key step in these arguments that is of independent interest, is a ramification result that shows that under certain assumptions, a domain that is a ran- dom dictatorship domain for two voters is also a random dictatorship domain for an arbitrary number of voters.
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Bibliographic InfoPaper provided by Singapore Management University, School of Economics in its series Working Papers with number 27-2012.
Length: 36 pages
Date of creation: Jun 2012
Date of revision:
Publication status: Published in SMU Economics and Statistics Working Paper Series
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-07-08 (All new papers)
- NEP-CDM-2012-07-08 (Collective Decision-Making)
- NEP-MIC-2012-07-08 (Microeconomics)
- NEP-SEA-2012-07-08 (South East Asia)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Shurojit Chatterji & Arunava Sen, 2009.
06-2009, Singapore Management University, School of Economics.
- Shurojit Chatterji & Remzi Sanver & Arunava Sen, 2010. "On Domains That Admit Well-behaved Strategy-proof Social Choice Functions," Working Papers 07-2010, Singapore Management University, School of Economics.
- ASWAL, Navin & CHATTERJI, Shurojit & SEN, Arunava, 1999.
CORE Discussion Papers
1999040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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