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Karpov, Alexander

doi:10.1007/978-3-031-31654-8_11

Springer Optimization and Its Applications

2023

DOI: 10.1007/978-3-031-31654-8_11

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Alexander Karpov

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2024

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A family of condorcet domains that are single-peaked on a circle

Slinko

2024

Soc Choice Welf

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Fishburn’s alternating scheme domains occupy a special place in the theory of Condorcet domains. Karpov (2023) generalised these domains and made an interesting observation proving that all of them are single-peaked on a circle. However, an important point that all generalised Fishburn domains are maximal Condorcet domain remained unproved. We fill this gap and suggest a new combinatorial interpretation of generalised Fishburn’s domains which provide a constructive proof of single-peakedness of these domains on a circle. We show that classical single-peaked domains and single-dipped domains as well as Fishburn’s alternating scheme domains belong to this family of domains while single-crossing domains do not.

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A family of condorcet domains that are single-peaked on a circle

Slinko

2024

Soc Choice Welf

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Maximal Condorcet domains. A further progress report

Puppe,

Slinko

2024

Games and Economic Behavior

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Preferences over Mixed Manna

Cited by 2 publications

References 25 publications

A family of condorcet domains that are single-peaked on a circle

A family of condorcet domains that are single-peaked on a circle

Maximal Condorcet domains. A further progress report

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