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Securely implementable social choice functions in divisible and nonexcludable public good economies with quasi‐linear utility functions

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  • Katsuhiko Nishizaki

Abstract

This paper studies the possibility of secure implementation (Saijo et al., 2007) in divisible and nonexcludable public good economies with quasi‐linear utility functions. In these economies, although Saijo et al. (2007) showed that the Groves mechanisms (Groves, 1973) are securely implementable when the valuation functions of the public good are (i) differentiable, concave, and (ii) identified with a real number, respectively, this paper shows the following negative result: securely implementable social choice functions are dictatorial or constant when the valuation functions of the public good are strictly increasing and strictly concave.

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  • Katsuhiko Nishizaki, 2018. "Securely implementable social choice functions in divisible and nonexcludable public good economies with quasi‐linear utility functions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(3), pages 424-436, June.
    • Handle: RePEc:bla:jpbect:v:20:y:2018:i:3:p:424-436
    DOI: 10.1111/jpet.12282
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    Cited by:

    1. Nishizaki, Katsuhiko, 2018. "Secure implementability under Pareto-efficient rules in linear production economies with classical preferences," Research in Economics, Elsevier, vol. 72(3), pages 379-383.

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