Imprints offer Moore

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Alternating-offer games with final-offer arbitration

I analyze an alternating-offer model that integrates the common practice of having an arbitrator determine the outcomes if both players’ offers are rejected. I assume that the arbitrator uses final-offer arbitration (as in professional baseball). I find that if the arbitrator does not excessively favor one player, then the unique subgame-perfect equilibrium always coincides with the subgame-per...

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Very few Moore Graphs

We prove here a well known result in graph theory, originally proved by Hoffman and Singleton, that any non-trivial Moore graph of diameter 2 is regular of degree k = 2, 3, 7 or 57. The existence (and uniqueness) of these graphs is known for k = 2, 3, 7 while it is still an open problem if there is a moore graph of degree 57 or not.

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ژورنال

عنوان ژورنال: Nature

سال: 2002

ISSN: 0028-0836,1476-4687

DOI: 10.1038/417802a