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Quasitransitive relation: Properties, Formal definition & Examples

The mathematical notion of quasitransitivity is a weakened version of transitivity that is used in social choice theory and microeconomics. Informally, a relation is quasitransitive if it is symmetric for some values and transitive elsewhere. The concept was introduced by Sen (1969) to study the consequences of Arrow's theorem.

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Quasitransitive relation topic overview

The analysis highlights Properties, Formal definition and Examples as prominent areas in the source structure around Quasitransitive relation.

Related topics
17
Source areas
4
Connected nodes
21
Extracted relationships
2
Related term clusters
13
Bridge connections
21

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 6 topics
Properties · 5 topics
Formal definition · 4 topics
Examples · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Quasitransitive relation
6Transitive relation · Social choice theory · Microeconomics
11Binary relation · Set (mathematics) · Antisymmetric relation

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Formal definition

Examples

Properties

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Quasitransitive relation connects Entity context

The extracted context around Quasitransitive relation shows recurring relationship patterns in the source. For example, Quasitransitive relation → Moreover, Similarly. Use these groups to spot repeated connection types before inspecting the individual relationships.

Quasitransitive relation

Top relations

related to Properties · 2
Quasitransitive relation → Moreover, Similarly

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

relation quasitransitive pdf choice transitive doi jstor 10 sen transitivity symmetric 2307 archived original suzumura university social 1969 arrow's s2cid

Quasitransitive relation relationships Subject–Predicate–Object triples

TTTA extracted 2 structured relationships around Quasitransitive relation. Examples in this analysis include Quasitransitive relation → related to Properties → Moreover and Quasitransitive relation → related to Properties → Similarly. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Quasitransitive relationrelated to PropertiesMoreover0.60section
Quasitransitive relationrelated to PropertiesSimilarly0.60section

Related concept clusters Related term clusters

The concept neighborhoods around Quasitransitive relation bring nearby vocabulary together. In this analysis, examples include Relation, Transitive and Symmetric. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Quasitransitive relation
    • Relation
    • Transitive
    • Symmetric
    • Antisymmetric
    • Set
    • Also
    • Acyclic
    • Assumed
    • Example
    • Part
    • Sugar
    • Collective
  • quasitransitive relation
    • Relation
    • Transitive
    • Symmetric
    • Antisymmetric
    • Set
    • Also
    • Acyclic
    • Assumed
    • Example
    • Part
    • Sugar
    • Collective
  • binary relation
    • Transitive
    • Symmetric
    • Antisymmetric
    • Set
    • Also
    • Acyclic
    • Example
    • Part
    • Sugar
    • Collective
    • Sen
  • universal relation
    • Transitive
    • Symmetric
    • Antisymmetric
    • Set
    • Also
    • Acyclic
    • Example
    • Part
    • Sugar
    • Collective
    • Sen
  • social choice theory
    • Collective
    • Social
    • Sen
    • Transitivity
    • Pdf
    • Microeconomics
    • Acyclic
    • Quasitransitivity
    • Relation
  • transitivity
    • Quasitransitivity
    • Microeconomics
    • Assumed
    • Theorem
    • Arrow's
    • Social
    • Choice
    • Pdf
  • acyclic
    • Set
    • Collective
    • Choice
    • Quasitransitive
    • Relation
  • arrow's theorem
    • Theorem
    • Transitivity
    • Sen
    • Pdf

Connections between topic areas Semantic bridges

For Quasitransitive relation, one of the stronger structural bridges in this analysis connects Quasitransitive relation with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Quasitransitive relation — Overview · splits 15 ⟂ 7
Quasitransitive relation — Properties · splits 16 ⟂ 6
Quasitransitive relation — Formal definition · splits 17 ⟂ 5
Quasitransitive relation — Examples · splits 19 ⟂ 3

Map overview Semantic statistics

Quasitransitive relation

Nodes22
Edges21
Triples2
Avg. degree1.91
Density0.090909
Components1

Source & methodology

TTTA analyzes the structure around Quasitransitive relation to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Properties, Formal definition & Examples, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Quasitransitive relation · EN edition · Analysis: TopicsToTalkAbout

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