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No-envy and dominant strategy implementability in non-excludable public good economies with quasi-linear preferences


  • Katsuhiko Nishizaki

    () (Graduate School of Economics, Osaka University)


This paper studies the relationship between no-envy (Foley, D. (1967) "Resource allocation and the public sector," Yale Economics Essays 7, pp.45-98) and dominant strategy implementability in non-excludable public good economies with quasi-linear preferences. The main result shows that the combination of non-bossiness (Satterthwaite, M. A. and H. Sonnenschein (1981) "Strategy-proof allocation mechanisms at differentiable points," Review of Economic Studies 48, pp.587-597) and equal treatment of equals is equivalent to no-envy under strategy-proof social choice functions in the economies which are incompatible with strict monotonic closedness (Fleurbaey, M. and F. Maniquet (1997) "Implementability and horizontal equity imply no-envy," Econometrica 65, pp.1215-1219).

Suggested Citation

  • Katsuhiko Nishizaki, 2013. "No-envy and dominant strategy implementability in non-excludable public good economies with quasi-linear preferences," Economics Bulletin, AccessEcon, vol. 33(1), pages 557-563.
  • Handle: RePEc:ebl:ecbull:eb-12-00837

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    References listed on IDEAS

    1. Shigehiro Serizawa, 1999. "Strategy-Proof and Symmetric Social Choice Functions for Public Good Economies," Econometrica, Econometric Society, vol. 67(1), pages 121-146, January.
    2. Mizukami, Hideki & Wakayama, Takuma, 2009. "The relation between non-bossiness and monotonicity," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 256-264, September.
    3. M. Fleurbaey & F. Maniquet, 1997. "Implementability and Horizontal Equity Imply No-Envy," Econometrica, Econometric Society, vol. 65(5), pages 1215-1220, September.
    4. Mark A. Satterthwaite & Hugo Sonnenschein, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Oxford University Press, vol. 48(4), pages 587-597.
    5. Partha Dasgupta & Peter Hammond & Eric Maskin, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 185-216.
    6. Mizukami, Hideki & Wakayama, Takuma, 2007. "Dominant strategy implementation in economic environments," Games and Economic Behavior, Elsevier, vol. 60(2), pages 307-325, August.
    7. Hervé Moulin, 1994. "Serial Cost-Sharing of Excludable Public Goods," Review of Economic Studies, Oxford University Press, vol. 61(2), pages 305-325.
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    More about this item


    No-envy; Dominant strategy implementation; Strategy-proofness; Non-excludable public good; Quasi-linear preference;

    JEL classification:

    • H4 - Public Economics - - Publicly Provided Goods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory


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