Peak-Pit Condorcet Domains

Clemens Puppe and Arkadii Slinko
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Clemens Puppe: Karlsruhe Institute of Technology
Arkadii Slinko: University of Auckland, Department of Mathematics

Chapter Chapter 4 in Condorcet Domains, 2026, pp 81-116 from Springer

Abstract: Abstract One of the most interesting and most investigated classes of Condorcet domains is the peak-pit domains. It includes Arrow’s single-peaked, single-crossing, GF-domains and set-alternating scheme domains that will be introduced in Chap. 5 . One of our key techniques in investigating this type of domains is the use of the notion of the ideal of a domain introduced in Sect. 1.5 .

Date: 2026
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DOI: 10.1007/978-3-032-15116-2_4

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