Random Dictatorship Domains
A 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.
|Date of creation:||Jun 2012|
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|Publication status:||Published in SMU Economics and Statistics Working Paper Series|
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- 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.
- Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
- Shurojit Chatterji & Arunava Sen, 2009.
06-2009, Singapore Management University, School of Economics.
- Navin Aswal & Shurojit Chatterji & Arunava Sen, 2003.
Springer, vol. 22(1), pages 45-62, 08.
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