On the fair division of a heterogeneous commodity
From MaRDI portal
Publication:1198380
DOI10.1016/0304-4068(92)90001-NzbMath0761.90009WikidataQ59972971 ScholiaQ59972971MaRDI QIDQ1198380
William Thomson, Karl Dunz, Marcus Berliant
Publication date: 16 January 1993
Published in: Journal of Mathematical Economics (Search for Journal in Brave)
\(\alpha\)-fair efficient allocationsegalitarian-equivalent efficient allocationsenvy-free allocationsheterogeneous but divisible commodity
Related Items (31)
Fair and square: cake-cutting in two dimensions ⋮ Cooperation in dividing the cake ⋮ Divide-and-permute ⋮ Almost envy-freeness for groups: improved bounds via discrepancy theory ⋮ Children crying at birthday parties. Why? ⋮ Keep your distance: land division with separation ⋮ Fair division of indivisible goods: recent progress and open questions ⋮ Almost envy-freeness in group resource allocation ⋮ Equitable allocation of divisible goods ⋮ A characterization of \(\alpha \)-maximin solutions of fair division problems ⋮ Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities ⋮ Resource-monotonicity and population-monotonicity in connected cake-cutting ⋮ Strategic divide and choose ⋮ A theory of a heterogeneous divisible commodity exchange economy ⋮ Claim games for estate division problems ⋮ A foundation of location theory: existence of equilibrium, the welfare theorems, and core ⋮ The Dubins-Spanier optimization problem in fair division theory ⋮ Allocation rules for land division ⋮ Non-cooperative solutions for estate division problems ⋮ Democratic fair allocation of indivisible goods ⋮ Nash-implementation of the no-envy solution on symmetric domains of economies ⋮ Fair cake-cutting among families ⋮ Vilfredo Pareto cuts the cake ⋮ Efficient egalitarian equivalent allocations over a single good ⋮ Simple fair division of a square ⋮ Envy-Free Division of Land ⋮ Disputed lands ⋮ DIVIDING BY DEMANDING: OBJECT DIVISION THROUGH MARKET PROCEDURES ⋮ Monotonicity and competitive equilibrium in cake-cutting ⋮ A paradoxical Pareto frontier in the cake-cutting context ⋮ A strategic approach to multiple estate division problems
Cites Work
- An equilibrium existence result for an economy with land
- Fair division of a measurable space
- A foundation of location theory: Consumer preferences and demand
- Dividing a cake fairly
- Generalized sandwich theorems
- Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness
- Determining a Fair Border
- How to Cut A Cake Fairly
- How to Cut a Cake Fairly
- Fair Net Trades
- Unnamed Item
- Unnamed Item
This page was built for publication: On the fair division of a heterogeneous commodity
