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A characterization of the Esteban–Ray polarization measures

Author

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  • Kawada, Yoko
  • Nakamura, Yuta
  • Sunada, Keita

Abstract

Esteban and Ray (1994) formalized the idea of polarization and developed a theory for its measurement. In their main theorem, they claimed that a class of polarization measures, called the Esteban–Ray measures, is characterized by a set of axioms that capture the idea of polarization. However, in this study, we show that the claim does not hold by presenting a counterexample. We amend their main theorem by strengthening the first axiom.

Suggested Citation

  • Kawada, Yoko & Nakamura, Yuta & Sunada, Keita, 2018. "A characterization of the Esteban–Ray polarization measures," Economics Letters, Elsevier, vol. 169(C), pages 35-37.
    • Handle: RePEc:eee:ecolet:v:169:y:2018:i:c:p:35-37
    DOI: 10.1016/j.econlet.2018.05.011
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    Cited by:

    1. Huremović, Kenan & Ozkes, Ali I., 2022. "Polarization in networks: Identification–alienation framework," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    2. Ryota Tsuchiya, 2024. "Balance of power in a conflict model," Economics of Governance, Springer, vol. 25(3), pages 379-399, September.

    More about this item

    Keywords

    Polarization; Esteban–Ray polarization measures;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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