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Securely implementable social choice functions in divisible and nonexcludable public good economies with quasi‐linear utility functions
Authors:Katsuhiko Nishizaki
Institution:1. Graduate School of EconomicsMomoyama Gakuin University;2. Research Institute for Socionetwork StrategiesKansai University
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.
Keywords:
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