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Random Dictatorship Domains

  • Shurojit Chatterji

    ()

    (School of Economics, Singapore Management University)

  • Arunava Sen

    (Indian Statistical Institute, New Delhi, India.)

  • Huaxia Zeng

    (Singapore Management University, Singapore.)

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.

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Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 27-2012.

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Length: 36 pages
Date of creation: Jun 2012
Date of revision:
Publication status: Published in SMU Economics and Statistics Working Paper Series
Handle: RePEc:siu:wpaper:27-2012
Contact details of provider: Postal: 90 Stamford Road, Singapore 178903
Phone: 65-6828 0832
Fax: 65-6828 0833
Web page: http://www.economics.smu.edu.sg/

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  1. Navin Aswal & Shurojit Chatterji & Arunava Sen, 2003. "Dictatorial domains," Economic Theory, Springer, vol. 22(1), pages 45-62, 08.
    • ASWAL, Navin & CHATTERJI, Shurojit & SEN, Arunava, 1999. "Dictatorial domains," CORE Discussion Papers 1999040, Universit√© catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Shurojit Chatterji & Arunava Sen, 2009. "Tops-Only Domains," Macroeconomics Working Papers 22064, East Asian Bureau of Economic Research.
  3. 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.
  4. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
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