Abstract
We establish the soundness of the replica symmetric ansatz introduced by M. M ezard and G. Parisi for the minimum matching problem in the pseudo-dimensiond mean eld model for d 1. The cased = 1 corresponds to the 2 =6-limit for the assignment problem proved by D. Aldous in 2001. We introduce a game-theoretical framework by which we establish the analogous limit also for d > 1.
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