The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
On Cores and Indivisibility
Abstract
An economic model of trading in commodities that are inherently indivisible is investigated from a game-theoretic point of view. The report offers an elementary introduction to [n]-person games, balanced sets, and the core, applying them to a simple but nontrivial trading model. It also presents a new perspective on the difficulties that upset the smooth functioning of an economy due to the presence of commodities that come in large, discrete units. The concepts of balanced game and core are developed, and a general theorem is applied to prove that the market in question has a nonempty core — that is, at least one outcome that no subset of traders can improve on. The report discusses a number of examples and reviews a series of other models involving indivisible commodities, with references to the literature.
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Cites
College Admissions and the Stability of Marriage
Gale, D., & Shapley, L. S. (1962) · The American Mathematical Monthly · doi:10.1080/00029890.1962.11989827 · Cited by 5,985
Self-citationThe Theory of Linear Economic Models
Mukerji, V., & Gale, D. (1962) · Econometrica · doi:10.2307/1910243 · Cited by 901
On Balanced Games without Side Payments
Shapley, L. S. (1973) · Mathematical Programming · doi:10.1016/b978-0-12-358350-5.50012-9 · Cited by 141
Cited by
Job Matching, Coalition Formation, and Gross Substitutes
Kelso, A. S., & Crawford, V. P. (1982) · Econometrica · doi:10.2307/1913392 · Cited by 1,307
The evolution of the labor market for medical interns and residents: A case study in game theory
Roth, A. E. (1984) · Journal of Political Economy · doi:10.1086/261272 · Cited by 1,219
Incentive compatibility in a market with indivisible goods
Roth, A. E. (1982) · Economics Letters · doi:10.1016/0165-1765(82)90003-9 · Cited by 279
Effective affirmative action in school choice
Hafalir, I. E., Yenmez, M. B., & Yildirim, M. A. (2013) · Theoretical Economics · doi:10.3982/te1135 · Cited by 278
Haeringer, G., & Klijn, F. (2009) · Journal of Economic Theory · doi:10.1016/j.jet.2009.05.002 · Cited by 276
Metadata
- Venue
- RAND Corporation eBooks
- Publisher
- RAND Corporation
- Published
- 1973
- OpenAlex
- W4255709949
- Cited by
- 584
- References
- 3
- FWCI
- 2.25
- Type
- book
- Language
- en
- Open access
- closed
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