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Extended Gini Index

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Listed:
  • Ram Sewak Dubey
  • Giorgio Laguzzi

Abstract

We propose an extended version of Gini index defined on the set of infinite utility streams, $X=Y^\mathbb{N}$ where $Y\subset \mathbb{R}$. For $Y$ containing at most finitely many elements, the index satisfies the generalized Pigou-Dalton transfer principles in addition to the anonymity axiom.

Suggested Citation

  • Ram Sewak Dubey & Giorgio Laguzzi, 2020. "Extended Gini Index," Papers 2012.04141, arXiv.org, revised Feb 2021.
    • Handle: RePEc:arx:papers:2012.04141
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    References listed on IDEAS

    as
    1. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
    2. Toyotaka Sakai, 2006. "Equitable Intergenerational Preferences on Restricted Domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 41-54, August.
    3. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 179-191, August.
    4. Dubey, Ram Sewak & Laguzzi, Giorgio, 2021. "Equitable preference relations on infinite utility streams," Journal of Mathematical Economics, Elsevier, vol. 97(C).
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    More about this item

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D3 - Microeconomics - - Distribution

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