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Asymmetric parametric division rules revisited

Author

Listed:
  • René Levínský

    (Economics Institute of the Czech Academy of Sciences)

  • Miroslav Zelený

    (Faculty of mathematics and physics, Charles University)

Abstract

J.E. Stovall showed that continuity, N-continuity, bilateral consistency, intrapersonal consistency, and resource monotonicity characterize division rules with continuous parametric representations. He also showed that none of the first four properties can be omitted in the characterization. In this note we continue this discussion by showing that there exists a division rule which satisfies the first four properties but not resource monotonicity. Thus these properties are independent and the formulation of Stovall´s result is optimal.

Suggested Citation

  • René Levínský & Miroslav Zelený, 2020. "Asymmetric parametric division rules revisited," Economics Bulletin, AccessEcon, vol. 40(1), pages 109-116.
  • Handle: RePEc:ebl:ecbull:eb-19-01000
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    More about this item

    Keywords

    claims; resource monotonicity; asymmetric parametric division rule;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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