EconPapers    
Economics at your fingertips  
 

Maximin Envy-Free Division of Indivisible Items

Steven Brams (), D. Marc Kilgour () and Christian Klamler
Additional contact information
D. Marc Kilgour: Wilfrid Laurier University

Group Decision and Negotiation, 2017, vol. 26, issue 1, No 8, 115-131

Abstract: Abstract Assume that two players have strict rankings over an even number of indivisible items. We propose two algorithms to find balanced allocations of these items that are maximin—maximize the minimum rank of the items that the players receive—and are envy-free and Pareto-optimal, if such allocations exist. To determine whether an envy-free allocation exists, we introduce a simple condition on preference profiles; in fact, our condition guarantees the existence of a maximin, envy-free, and Pareto-optimal allocation. Although not strategy-proof, our algorithms would be difficult to manipulate unless a player has complete information about its opponent’s ranking. We assess the applicability of the algorithms to real-world problems, such as allocating marital property in a divorce or assigning people to committees or projects.

Keywords: Fair division; Allocation of indivisible items; Envy-freeness; Maximin (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://link.springer.com/10.1007/s10726-016-9502-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
Working Paper: Maximin Envy-Free Division of Indivisible Items (2015) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:grdene:v:26:y:2017:i:1:d:10.1007_s10726-016-9502-x

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10726/PS2

DOI: 10.1007/s10726-016-9502-x

Access Statistics for this article

Group Decision and Negotiation is currently edited by Gregory E. Kersten

More articles in Group Decision and Negotiation from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

 
Page updated 2025-03-22
Handle: RePEc:spr:grdene:v:26:y:2017:i:1:d:10.1007_s10726-016-9502-x