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arXiv · 2005.07867

Generalisation of the Danilov-Karzanov-Koshevoy Construction for Peak-Pit Condorcet Domains

Arkadii Slinko
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Abstract

Danilov, Karzanov and Koshevoy (2012) geometrically introduced an interesting operation of composition on tiling Condorcet domains and using it they disproved a long-standing problem of Fishburn about the maximal size of connected Condorcet domains. We give an algebraic definition of this operation and investigate its properties. We give a precise formula for the cardinality of composition of two Condorcet domains and improve the Danilov, Karzanov and Koshevoy result showing that Fishburn's alternating scheme does not always define a largest peak-pit Condorcet domain.

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BibTeXRIS

Arkadii Slinko. 2020-05-16. Generalisation of the Danilov-Karzanov-Koshevoy Construction for Peak-Pit Condorcet Domains. https://arxiv.org/abs/2005.07867

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