Összekapcsolt, axiális irányban mozgó szál hálózatok merevségének jellemzése gráfokkal

Nagy, Gyula

doi:10.37070/aml.2019.36.2.06

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Axiomatic Districting1

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“…Moreover, restrictions that are frequently imposed on the shape of districts in practice, such as compactness or contiguity, can in principle be incorporated in our approach by an appropriate choice of admissible districts; for an explicit analysis of these and related issues, see e.g. Chambers and Miller [23,24] and Nagy and Szakál [59].…”

Section: Axiomatic Districtingmentioning

confidence: 99%

The mathematical analysis of voting and districting rules

Tasnádi¹

2019

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BibliographyDefinition 2.6 (Equal score difference). A domain P satisfies the equal score difference (ESD) condition with respect to s if, for all x, y ∈ X, either all orderings in P agree on {x, y}, or if not, thenfor all , ∈ P such that | {x,y} = | {x,y} .Note that for the Borda count the latter condition reduces tofor all , ∈ P such that | {x,y} = | {x,y} , which we will also refer to as the equal rank difference (ERD) condition.Theorem 2.1. A domain is Arrovian for the proper scoring method F s if and only if it satisfies the equal score difference condition with respect to s.Proof. Clearly, any scoring method is non-dictatorial and satisfies the Pareto rule on any domain. Let P satisfy the equal score difference condition. In order to verify IIA consider * 11

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Section: Axiomatic Districtingmentioning

confidence: 99%

The mathematical analysis of voting and districting rules

Tasnádi¹

2019

View full text Add to dashboard Cite

show abstract

Összekapcsolt, axiális irányban mozgó szál hálózatok merevségének jellemzése gráfokkal

Cited by 1 publication

References 22 publications

The mathematical analysis of voting and districting rules

The mathematical analysis of voting and districting rules

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