Regular population monotonic allocation schemes |
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Authors: | Josep Maria Izquierdo |
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Affiliation: | (1) Departament de Matemàtica Econòmica, Financera i Actuarial and CREB, Universitat de Barcelona, Diagonal 690, 08034 Barcelona, Spain |
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Abstract: | The paper introduces a refinement of the notion of population monotonic allocation scheme, called regular population monotonic allocation scheme (regularpmas). This refinement is based on economic situations in which players may have to select new partners from a set of potential players and in which there exist certain capacity constraints. A sufficient condition for the existence of a regularpmas is given. For the class of games with regularpmas, we prove that the core coincides with the Davis and Maschler and the Mas-Colell bargaining sets. |
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Keywords: | allocation scheme monotonicity core bargaining set |
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