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| Camilla Di Luca, Josep M Izquierdo and Carles Rafels |
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| ''Remarks on the proportional distribution in increasing return to scale problems'' |
| ( 2013, Vol. 33 No.4 ) |
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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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| Keywords: cooperative game, proportional distribution, core, nucleolus |
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| Manuscript Received : Jun 21 2013 | | Manuscript Accepted : Dec 23 2013 |
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