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arXiv · 1304.1237

Markov degree of the Birkhoff model

Takashi Yamaguchi·Mitsunori Ogawa·Akimichi Takemura
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Abstract

We prove the conjecture by Diaconis and Eriksson (2006) that the Markov degree of the Birkhoff model is three. In fact, we prove the conjecture in a generalization of the Birkhoff model, where each voter is asked to rank a fixed number, say r, of candidates among all candidates. We also give an exhaustive characterization of Markov bases for small r.

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Takashi Yamaguchi, Mitsunori Ogawa, Akimichi Takemura. 2013-11-19. Markov degree of the Birkhoff model. https://arxiv.org/abs/1304.1237

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