Perspectives of Monge properties in optimization
Discrete Applied Mathematics
Efficient minimum cost matching using quadrangle inequality
SFCS '92 Proceedings of the 33rd Annual Symposium on Foundations of Computer Science
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We study inverse-Monge assignment games, namely cooperative assignment games in which the assignment matrix satisfies the inverse-Monge property. For square inverse-Monge assignment games, we describe their cores and we obtain a closed formula for the buyers-optimal and the sellers-optimal core allocations. We also apply the above results to solve the non-square case.