Equal treatment of unsatisfied agents

Doudou Gong; Bas Dietzenbacher

doi:10.1016/j.mathsocsci.2025.102411

Equal treatment of unsatisfied agents

Doudou Gong
, Bas Dietzenbacher^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In many models of resource allocation, agents are characterized by certain rights, needs, or demands. We impose the requirement that all agents who are not fully compensated are assigned the same amount, and explore it in the models of claims problems, division problems with single-peaked preferences, and division problems with single-dipped preferences. In combination with other properties, we obtain respective axiomatizations of the well-known constrained equal awards rule, the well-known uniform rule, and two families of rules for the single-dipped model.

Original language	English
Article number	102411
Number of pages	7
Journal	Mathematical Social Sciences
Volume	137
DOIs	https://doi.org/10.1016/j.mathsocsci.2025.102411
Publication status	Published - Oct 2025

JEL classifications

d63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
d71 - "Social Choice; Clubs; Committees; Associations"

Keywords

axiomatic analysis
constrained equal awards rule
equal treatment of unsatisfied agents
resource allocation
uniform rule

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10.1016/j.mathsocsci.2025.102411Licence: CC BY

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title = "Equal treatment of unsatisfied agents",

abstract = "In many models of resource allocation, agents are characterized by certain rights, needs, or demands. We impose the requirement that all agents who are not fully compensated are assigned the same amount, and explore it in the models of claims problems, division problems with single-peaked preferences, and division problems with single-dipped preferences. In combination with other properties, we obtain respective axiomatizations of the well-known constrained equal awards rule, the well-known uniform rule, and two families of rules for the single-dipped model.",

keywords = "axiomatic analysis, constrained equal awards rule, equal treatment of unsatisfied agents, resource allocation, uniform rule",

author = "Doudou Gong and Bas Dietzenbacher",

note = "Funding Information: We thank the editor and two anonymous reviewers for constructive comments. This work was supported by the National Natural Science Foundation of China (Grant number 72401133). data source: No data was used for the research described in the article.",

year = "2025",

month = oct,

doi = "10.1016/j.mathsocsci.2025.102411",

language = "English",

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T1 - Equal treatment of unsatisfied agents

AU - Gong, Doudou

AU - Dietzenbacher, Bas

N1 - Funding Information: We thank the editor and two anonymous reviewers for constructive comments. This work was supported by the National Natural Science Foundation of China (Grant number 72401133). data source: No data was used for the research described in the article.

PY - 2025/10

Y1 - 2025/10

N2 - In many models of resource allocation, agents are characterized by certain rights, needs, or demands. We impose the requirement that all agents who are not fully compensated are assigned the same amount, and explore it in the models of claims problems, division problems with single-peaked preferences, and division problems with single-dipped preferences. In combination with other properties, we obtain respective axiomatizations of the well-known constrained equal awards rule, the well-known uniform rule, and two families of rules for the single-dipped model.

AB - In many models of resource allocation, agents are characterized by certain rights, needs, or demands. We impose the requirement that all agents who are not fully compensated are assigned the same amount, and explore it in the models of claims problems, division problems with single-peaked preferences, and division problems with single-dipped preferences. In combination with other properties, we obtain respective axiomatizations of the well-known constrained equal awards rule, the well-known uniform rule, and two families of rules for the single-dipped model.

KW - axiomatic analysis

KW - constrained equal awards rule

KW - equal treatment of unsatisfied agents

KW - resource allocation

KW - uniform rule

U2 - 10.1016/j.mathsocsci.2025.102411

DO - 10.1016/j.mathsocsci.2025.102411

M3 - Article

SN - 0165-4896

VL - 137

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

M1 - 102411

ER -

Equal treatment of unsatisfied agents

Abstract

JEL classifications

Keywords

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