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Equity and Continuity with a Continuum of Generations

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  • Shinotsuka, Tomoichi

Abstract

In this paper we consider social preferences over intergenerational consumption paths for a continuum of generations. We prove that equal treatment of all generations is incompatible with Mackey continuity of social preferences under mild axioms such as nontriviality and asymmetry. We also show that this impossibility result is tight in the sense that for each of the four axioms there exists a social preference relation violating it but satisfying the other.

Suggested Citation

  • Shinotsuka, Tomoichi, 1998. "Equity and Continuity with a Continuum of Generations," ビジネス創造センターディスカッション・ペーパー (Discussion papers of the Center for Business Creation) 10252/4242, Otaru University of Commerce.
    • Handle: RePEc:ota:busdis:10252/4242
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