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Note on level r consensus

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  • Nikolay L. Poliakov

Abstract

We show that the hierarchy of level $r$ consensus partially collapses. In particular, any profile $\pi\in \mathcal{P}$ that exhibits consensus of level $(K-1)!$ around $\succ_0$ in fact exhibits consensus of level $1$ around $\succ_0$.

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  • Nikolay L. Poliakov, 2016. "Note on level r consensus," Papers 1606.04816, arXiv.org.
    • Handle: RePEc:arx:papers:1606.04816
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    File URL: http://arxiv.org/pdf/1606.04816
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    References listed on IDEAS

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    1. Muhammad Mahajne & Shmuel Nitzan & Oscar Volij, 2015. "Level $$r$$ r consensus and stable social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 805-817, December.
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    Cited by:

    1. Mor Nitzan & Shmuel Nitzan & Erel Segal-Halevi, 2018. "Flexible level-1 consensus ensuring stable social choice: analysis and algorithms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(3), pages 457-479, March.

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