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Remarks on the proportional distribution in increasing return to scale problems
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We study a cooperative problem where agents contribute a certain amount of input in order to obtain a surplus. We assume that the average surplus with respect to the amount contributed is increasing. Within this basic model, a cooperative game is associated and the proportional distribution arises as a natural core allocation. We describe a necessary and sufficient condition for which the core of the game shrinks to the proportional distribution. Furthermore, we characterize axiomatically the proportional distribution by means of three properties: core-selection, core-invariance and resource monotonicity. Finally, we provide a condition that guarantees that the proportional nucleolus coincides with the proportional solution.
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DI LUCA, Camilla, IZQUIERDO AZNAR, Josep maria, RAFELS, Carles. Remarks on the proportional distribution in increasing return to scale problems. _Economics Bulletin _. 2013. Vol. 33, núm. 4, pàgs. 2938-2947. [consulta: 30 de gener de 2026]. ISSN: 1545-2921. [Disponible a: https://hdl.handle.net/2445/107053]