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Weak Equity

Author

Listed:
  • Steven Kivinen

    (University of Graz, Austria)

Abstract

Equal treatment of equals (ETE) is a foundational notion of fairness. However, there are rules that violate ETE while still exhibiting procedural fairness by granting agents symmetric roles. We define weak equity and k-equity (Bartholdi et al., 2021) in a general environment. We show that 2-equity implies ETE under a mild separability condition. Weak equity defines a rich class of rules that often violate ETE. In the fair division environment of Sprumont (1991), we characterize the uniform rule, and sequential allotment rules with equal guarantees (Barbera et al., 1997). Weak equity can give one agent nearly the entire surplus over identical agents.

Suggested Citation

  • Steven Kivinen, 2024. "Weak Equity," Graz Economics Papers 2024-04, University of Graz, Department of Economics.
    • Handle: RePEc:grz:wpaper:2024-04
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    More about this item

    Keywords

    anonymity; equity; fair division.;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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