Published July 1983 | Submitted
Working Paper Open

Classification of Voting Games on Manifolds

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Abstract

A voting game σ is classified by two integers v*(σ),w*(σ),(v*(σ) < w*(σ)). In dimension < w*(σ) the existence of the σ-core is structurally stable (in the c^1-topology on smooth profiles); in dimension > v*(σ) the emptiness of the σ-core is structurally stable.

Additional Information

Thanks are due to Gary Cox, of the University of Texas at Austin, for making available some of his unpublished work. The results presented here are much influenced by Cox's work.

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Created:
August 19, 2023
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February 2, 2025