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Strategy-proof and individually rational social choice functions for public good economies


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  • Shigehiro Serizawa

    (Department of Economics, Shiga University, 1-1-1, Banba, Hikone, Shiga 522, JAPAN)


This note is to inform about a mistake in my paper (Serizawa, 1996). In that paper, I characterized strategy-proof, individually rational, budget-balancing, non-exploitative and non-bossy social choice functions for economies with one public good and one private good. I established as Theorem 3 (page 507) that a social choice function is strategy-proof, individually rational with respect to endowment, budget-balancing, non-exploitative and non-bossy if and only if it is a scheme of "semi-convex cost sharing determined by the minimum demand principle". I also exposed one example (Example 2, page 507) in order to emphasize that non-bossiness is indispensable for this characterization. I claimed that the social choice function in that example satisfies the above axioms except for non-bossiness, and is not a scheme of semi-convex cost sharing. However, the social choice function in the example is actually not strategy-proof, as shown in the simple discussion below. Therefore it is an open question whether or not a similar characterization theorem holds without non-bossiness.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 9 (1997)
Issue (Month): 2 ()
Pages: 379-380

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Handle: RePEc:spr:joecth:v:9:y:1997:i:2:p:379-380

Note: Received: July 15, 1996
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Cited by:
  1. Carmen Bevia & Luis C. Corchon, 2007. "Cooperative production and efficiency," Economics Working Papers we070502, Universidad Carlos III, Departamento de Economía.
  2. Salvador Barberà, 2010. "Strategy-proof social choice," Working Papers 420, Barcelona Graduate School of Economics.
  3. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2013. "A characterization of the uniform rule with several commodities and agents," Social Choice and Welfare, Springer, vol. 40(3), pages 871-911, March.
  4. Shigehiro Serizawa, 2006. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," Social Choice and Welfare, Springer, vol. 26(2), pages 305-331, April.
  5. Diego Moreno & María Moscoso, 2013. "Strategy-proof allocation mechanisms for economies with public goods," Economic Theory, Springer, vol. 52(1), pages 315-336, January.
  6. Hideki Mizukami & Takuma Wakayama, 2005. "Relationships between Non-Bossiness and Nash Implementability," Discussion Papers in Economics and Business 05-33, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  7. Ohseto, Shinji, 2000. "Characterizations of Strategy-Proof Mechanisms for Excludable versus Nonexcludable Public Projects," Games and Economic Behavior, Elsevier, vol. 32(1), pages 51-66, July.


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