Asymmetric parametric division rules revisited

René Levínský () and Miroslav Zelený ()
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René Levínský: Economics Institute of the Czech Academy of Sciences
Miroslav Zelený: Faculty of mathematics and physics, Charles University
Authors registered in the RePEc Author Service: René Levínský ()

Economics Bulletin, 2020, vol. 40, issue 1, 109-116

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.

Keywords: claims; resource monotonicity; asymmetric parametric division rule (search for similar items in EconPapers)
JEL-codes: C7 D7 (search for similar items in EconPapers)
Date: 2020-02-05
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