Arbeitspapier

Uniform, equal division, and other envy-free rules between the two

This paper studies the problem of fairly allocating an amount of a divisible resource when preferences are single-peaked. We characterize the class of envy-free and peak-only rules and show that the class forms a complete lattice with respect to a dominance relation. We also pin down the subclass of strategy-proof rules and show that the subclass also forms a complete lattice. In both cases, the upper bound is the uniform rule, the lower bound is the equal division rule, and any other rule is between the two.

Sprache
Englisch

Erschienen in
Series: ISER Discussion Paper ; No. 723

Klassifikation
Wirtschaft
Social Choice; Clubs; Committees; Associations
Equity, Justice, Inequality, and Other Normative Criteria and Measurement
Thema
Uniform rule
Choice of rules
Lattice
Pareto dominance
Singlepeaked preference
Fair allocation

Ereignis
Geistige Schöpfung
(wer)
Sakai, Toyotaka
Wakayama, Takuma
Ereignis
Veröffentlichung
(wer)
Osaka University, Institute of Social and Economic Research (ISER)
(wo)
Osaka
(wann)
2008

Handle
Letzte Aktualisierung
2025-03-10T11:41:58+0100

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Sakai, Toyotaka
  • Wakayama, Takuma
  • Osaka University, Institute of Social and Economic Research (ISER)

Entstanden

  • 2008

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