International Journal of Game Theory

, Volume 43, Issue 3, pp 579–597 | Cite as

Efficient and strategy-proof social choice when preferences are single-dipped

Article

Abstract

We study the problem of locating a single public good along a segment when agents have single-dipped preferences. We ask whether there are unanimous and strategy-proof rules for this model. The answer is positive and we characterize all such rules. We generalize our model to allow the set of alternatives to be unbounded. If the set of alternatives does not have a maximal and a minimal element, there is no meaningful notion of efficiency. However, we show that the range of every strategy-proof rule has a maximal and a minimal element. We then characterize all strategy-proof rules.

Keywords

Single-dipped preferences Strategy-proofness  Group strategy-proofness 

JEL Classification

D71 

References

  1. Barberà S, Berga D, Moreno B (2010) Individual versus group strategy-proofness: when do they coincide? J Econ Theory 145(5):1648–1674CrossRefGoogle Scholar
  2. Barberà S, Berga D, Moreno B (2012a) Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results. Int J Game Theory 41:791–808CrossRefGoogle Scholar
  3. Barberà S, Berga D, Moreno B (2012b) Domains, ranges and strategy-proofness: the case of single-dipped preferences. Soc Choice Welf 39:335–352CrossRefGoogle Scholar
  4. Barberà S, Sonnenschein H, Zhou L (1991) Voting by committees. Econometrica 59(3):595–609CrossRefGoogle Scholar
  5. Gibbard A (1973) Manipulation of voting schemes: a general result. Econometrica 41(4):587–601CrossRefGoogle Scholar
  6. Klaus B (2001) Coalitional strategy-proofness in economies with single-dipped preferences and the assignment of an indivisible object. Games Econ Behav 34:64–82CrossRefGoogle Scholar
  7. Klaus B, Peters H, Storcken T (1997) Strategy-proof division of a private good when preferences are single-dipped. Econ Lett 55:339–346CrossRefGoogle Scholar
  8. Larsson B, Svensson LG (2006) Strategy-proof voting on the full preference domain. Math Soc Sci 52(3):272–287CrossRefGoogle Scholar
  9. Le Breton M, Zaporozhets V (2009) On the equivalence of coalitional and individual strategy-proofness properties. Soc Choice Welf 33(2):287–309CrossRefGoogle Scholar
  10. Manjunath V (2012) Group strategy-proofness and voting between two alternatives. Math Soc Sci 63(3):239–242CrossRefGoogle Scholar
  11. Öztürk M, Peters H, Storcken T (2012a) On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences, working paper. METEOR, Maastricht Research School of Economics of Technology and Organization, MaastrichtGoogle Scholar
  12. Öztürk M, Peters H, Storcken T (2012b) Strategy-proof location of a public bad on a disc, working paper. METEOR, Maastricht Research School of Economics of Technology and Organization, MaastrichtGoogle Scholar
  13. Peremans W, Storcken T (1999) Strategy-proofness on single-dipped preference domains. Proceedings of the International Conference, Logic, Game Theory and Social Choice, pp 296–313Google Scholar
  14. Satterthwaite M (1975) Strategy-proofness and arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions. J Econ Theory 10:187–217CrossRefGoogle Scholar
  15. Schummer J, Vohra RV (2002) Strategy-proof location on a network. J Econ Theory 104(2):405–428CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Département de sciences économiquesUniversité de MontréalMontrealCanada

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