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Stability, efficiency and monotonicity in two-sided matching

Salem, Sherif Gamal (2012): Stability, efficiency and monotonicity in two-sided matching.

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Abstract

we propose a fairness property called P-monotonicity that we would like a matching mechanism to satisfy. We show that it is impossible to have a mechanism which is both stable and P- monotonic. Moreover, we show that it is impossible to have a mechanism which is both efficient and P-monotonic.

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