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A law of scarcity for games

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Author Info
Kovalenkov, Alexander
Wooders, Myrna Holtz

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Abstract

The “law of scarcity” is that scarceness is rewarded ; recall, for example, the diamonds and water paradox. In this paper, furthering research initiated in Kelso and Crawford (1982, Econometrica 50, 1483-1504) for matching models, we demonstrate a law of scarcity for cores and approximate cores of games.

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/publications/twerp546rev.pdf
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Publisher Info
Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 546.

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Length: 15 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:wrk:warwec:546

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Related research
Keywords: cooperative games ; games with side payments (TU games) ; cyclic monotonicity ; law of demand ; approximate cores ; effective small groups ; parameterized collections of games;

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D7 - Microeconomics - - Analysis of Collective Decision-Making

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Engl, Greg & Scotchmer, Suzanne, 1996. "The core and the hedonic core: Equivalence and comparative statics," Journal of Mathematical Economics, Elsevier, vol. 26(2), pages 209-248. [Downloadable!] (restricted)
  2. Wooders, Myrna Holtz, 1992. "Inessentiality of Large Groups and the Approximate Core Property: An Equivalence Theorem," Economic Theory, Springer, vol. 2(1), pages 129-47, January.
  3. Suzanne Scotchmer and Greg Engl., 1992. "The Core and the Hedonic Core: Equivalence and Comparative Statics," Economics Working Papers 92-197, University of California at Berkeley.
  4. Greg Engl & Suzanne Scotchmer, 1997. "The law of supply in games, markets and matching models (*)," Economic Theory, Springer, vol. 9(3), pages 539-550.
  5. Wooders, Myrna Holtz, 1994. "Equivalence of Games and Markets," Econometrica, Econometric Society, vol. 62(5), pages 1141-60, September. [Downloadable!] (restricted)
  6. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July. [Downloadable!] (restricted)
  7. Kovalenkov, Alexander & Wooders, Myrna Holtz, 1999. "Approximate Cores Of Games And Economies With Clubs," The Warwick Economics Research Paper Series (TWERPS) 535, University of Warwick, Department of Economics. [Downloadable!]
    Other versions:
  8. Scotchmer, S. & Wooders, M.H., 1988. "Monotonicity in games that Exhaust Gains to Scale," Papers 525, Stanford - Institute for Thoretical Economics.
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  9. Wooders, Myrna Holtz & Zame, William R., 1987. "Large games: Fair and stable outcomes," Journal of Economic Theory, Elsevier, vol. 42(1), pages 59-93, June. [Downloadable!] (restricted)
  10. Alexander Kovalenkov & Myrna Holtz Wooders, 1997. "An explicit bound on," Working Papers mwooders-98-04, University of Toronto, Department of Economics. [Downloadable!]
  11. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December. [Downloadable!] (restricted)
  12. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November. [Downloadable!] (restricted)
  13. Epstein, Larry G, 1981. "Generalized Duality and Integrability," Econometrica, Econometric Society, vol. 49(3), pages 655-78, May. [Downloadable!] (restricted)
  14. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Edward Cartwright & Myrna Wooders, 2001. "On the theory of equalizing differences; Increasing abundances of types of workers may increase their earnings," Economics Bulletin, Economics Bulletin, vol. 4, pages 1-10. [Downloadable!]
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