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Fair Division: From Cake-Cutting to Dispute Resolution.
Abstract
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 there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.
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Cited by
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Morality as Cooperation: A Problem-Centred Approach
Curry, O. S. (2016) · Evolutionary Psychology · doi:10.1007/978-3-319-19671-8_2 · Cited by 293
Curry, O. S., Jones Chesters, M., & Van Lissa, C. J. (2019) · Journal of Research in Personality · doi:10.1016/j.jrp.2018.10.008 · Cited by 235
Cake cutting: not just child's play
Procaccia, A. D. (2013) · Communications of the ACM · doi:10.1145/2483852.2483870 · Cited by 156
Consensus-halving via theorems of Borsuk-Ulam and Tucker
Simmons, F. W., & Su, F. E. (2003) · Mathematical Social Sciences · doi:10.1016/s0165-4896(02)00087-2 · Cited by 74
Metadata
- Authors
- Lucas, W. F., Brams, S. J., & Taylor, A. D.
- Venue
- The American Mathematical Monthly
- Publisher
- Informa UK Limited
- Published
- 1998-11
- Volume
- 105
- Issue
- 9
- Pages
- 877
- ISSN
- 0002-9890 (ISSN-L)
- OpenAlex
- W2022749618
- Cited by
- 751
- References
- 0
- FWCI
- 35.25
- Type
- journal article
- Language
- en
- Open access
- closed
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