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Separable Preferences, Strategyproofness, and Decomposability

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  • Michel Le Breton
  • Arunava Sen

Abstract

The authors consider strategyproof social choice functions defined over product domains. If preferences are strict orderings and separable, then strategyproof social choice functions must be decomposable provided that the domain of preferences is rich. The authors provide several applications of this result, including a characterization of the libertarian social choice function.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 67 (1999)
Issue (Month): 3 (May)
Pages: 605-628

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Handle: RePEc:ecm:emetrp:v:67:y:1999:i:3:p:605-628

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Cited by:
  1. Rafael Hortala-Vallve, 2007. "Inefficiencies on Linking Decisions," Economics Series Working Papers 321, University of Oxford, Department of Economics.
  2. Lang, Jrme & Xia, Lirong, 2009. "Sequential composition of voting rules in multi-issue domains," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 304-324, May.
  3. Reffgen, Alexander & Svensson, Lars-Gunnar, 2012. "Strategy-proof voting for multiple public goods," Theoretical Economics, Econometric Society, vol. 7(3), September.
  4. Papai, Szilvia, 2003. "Strategyproof exchange of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 931-959, November.
  5. repec:ebl:ecbull:v:4:y:2004:i:10:p:1-8 is not listed on IDEAS
  6. Bradley, W. James & Hodge, Jonathan K. & Kilgour, D. Marc, 2005. "Separable discrete preferences," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 335-353, May.
  7. Bordes, G. & Laffond, G. & Le Breton, Michel, 2012. "Euclidean Preferences, Option Sets and Strategy Proofness," IDEI Working Papers 717, Institut d'Économie Industrielle (IDEI), Toulouse.
  8. Bordes, G. & Laffond, G. & Le Breton, Michel, 2012. "Euclidean Preferences, Option Sets and Strategy Proofness," TSE Working Papers 12-302, Toulouse School of Economics (TSE).
  9. Biung-Ghi Ju, 2005. "A characterization of plurality-like rules based on non-manipulability, restricted efficiency, and anonymity," International Journal of Game Theory, Springer, vol. 33(3), pages 335-354, 09.
  10. Adachi, Tsuyoshi, 2010. "The uniform rule with several commodities: A generalization of Sprumont's characterization," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 952-964, November.
  11. Chatterji, Shurojit & Roy, Souvik & Sen, Arunava, 2012. "The structure of strategy-proof random social choice functions over product domains and lexicographically separable preferences," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 353-366.
  12. Wako, Jun, 2005. "Coalition-proof Nash allocation in a barter game with multiple indivisible goods," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 179-199, March.
  13. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
  14. Debasis Mishra & Souvik Roy, 2011. "Strategy-proof partitioning," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 11-06, Indian Statistical Institute, New Delhi, India.
  15. Chatterji, Shurojit & Sanver, Remzi & Sen, Arunava, 2013. "On domains that admit well-behaved strategy-proof social choice functions," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1050-1073.
  16. Ju, Biung-Ghi, 2011. "Collectively rational voting rules for simple preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 143-149, March.
  17. Dutta, Bhaskar & Peters, Hans & Sen, Arunava, 2002. "Strategy-Proof Probabilistic Mechanisms in Economies with Pure Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 392-416, October.
  18. Carmelo Rodriguez-Alvarez, 2004. "On the Impossibility of Strategy-Proof Coalition Formation Rules," Economics Bulletin, AccessEcon, vol. 4(10), pages 1-8.

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