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A strong incompatibility between efficiency and equity in non-convex economies
Authors:Fran  ois Maniquet
Affiliation:Facultés Univ. Notre-Dame de la Paix, Faculté des Sciences Economiques et Sociales, 8 Rempart de la Vierge, 5000 Namur, Belgium
Abstract:In allocation problems of perfectly divisible goods, we study the equity property of ‘no-domination', according to which no agent can receive strictly more of all goods than any other agent. We prove that no-domination is incompatible with Pareto efficiency, as soon as preferences are allowed to be non-convex.
Keywords:Pareto efficiency   Equity   Non-convex preferences
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