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2021
Fairness is important concept in Western philosophy and in economics alike. We review the so-called fair division theories in philosophy and economics that explore fairness as a distinct value concept. Philosophers build on John Broome’s influential account of fairness as the proportional satisfaction of claims.
Wintein, Stefan, Heilmann, Conrad
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Fairness is important concept in Western philosophy and in economics alike. We review the so-called fair division theories in philosophy and economics that explore fairness as a distinct value concept. Philosophers build on John Broome’s influential account of fairness as the proportional satisfaction of claims.
Wintein, Stefan, Heilmann, Conrad
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Dynamic Fair Resource Division
Mathematics of Operations Research, 2022A single homogeneous resource needs to be fairly shared between users that dynamically arrive and depart over time. Although good allocations exist for any fixed number of users, implementing these allocations dynamically is impractical: it typically entails adjustments in the allocation of every user in the system whenever a new user arrives.
Shai Vardi +2 more
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1992
In Legut et al. [1991] economies are considered in which a measurable good (like land) is the unique commodity. Such a game ‘generates’ a TU-game which the authors call a fair division game (FDG for short). An economy with land has competitive equilibria and equilibrium payoffs associated with such equilibria.
Reijnierse, J.H. +2 more
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In Legut et al. [1991] economies are considered in which a measurable good (like land) is the unique commodity. Such a game ‘generates’ a TU-game which the authors call a fair division game (FDG for short). An economy with land has competitive equilibria and equilibrium payoffs associated with such equilibria.
Reijnierse, J.H. +2 more
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Journal of Optimization Theory and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basu, Ranojoy, Mukherjee, Conan
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basu, Ranojoy, Mukherjee, Conan
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Fair (and Not so Fair) Division
SSRN Electronic Journal, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fair Division without Additivity
The American Mathematical Monthly, 2005(2005). Fair Division without Additivity. The American Mathematical Monthly: Vol. 112, No. 4, pp. 363-365.
DALL'AGLIO, MARCO, MACCHERONI F. A.
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1996
Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when ...
Steven J. Brams, Alan D. Taylor
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Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when ...
Steven J. Brams, Alan D. Taylor
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2008
Abstract This article provides a review of the literature on fair division, which has flourished in recent years. It focuses on three different literatures in the field: the allocation of several indivisible goods, the division of a single heterogeneous good, and the division, in whole or in part, of several divisible goods.
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Abstract This article provides a review of the literature on fair division, which has flourished in recent years. It focuses on three different literatures in the field: the allocation of several indivisible goods, the division of a single heterogeneous good, and the division, in whole or in part, of several divisible goods.
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Rationality and Society, 2005
Two or more players rank a set of indivisible items from best to worst. An efficient allocation of items is characterized, which may satisfy such properties as maximin, Borda maximin, and envy-avoidance. Whereas the two maximin properties are in conflict with envy-avoidance, there is always an efficient allocation that does not ensure envy, but it may
Steven J. Brams, Daniel L. King
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Two or more players rank a set of indivisible items from best to worst. An efficient allocation of items is characterized, which may satisfy such properties as maximin, Borda maximin, and envy-avoidance. Whereas the two maximin properties are in conflict with envy-avoidance, there is always an efficient allocation that does not ensure envy, but it may
Steven J. Brams, Daniel L. King
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ACM SIGecom Exchanges, 2021
The fair allocation of resources to interested agents is a fundamental problem in society. While the majority of the fair division literature assumes that all allocations are feasible, in practice there are often constraints on the allocation that can be chosen.
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The fair allocation of resources to interested agents is a fundamental problem in society. While the majority of the fair division literature assumes that all allocations are feasible, in practice there are often constraints on the allocation that can be chosen.
openaire +1 more source