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Laws of Scarcity for a Finite Game : Exact Bounds on Estimations

Author

Listed:
  • Kovalenkov, Alexander

    (Department of Economics, University of North Carolina)

  • Wooders, Myrna

    (Department of Economics, University of Warwick)

Abstract

A "law of scarcity" is that scarceness is rewarded. We demonstrate laws of scarcity for cores and approximate cores of games. Furthermore, we show that equal treatment core payout vectors satisfy a condition of cyclic monotonicity. Our results are developed for parameterized collections of games and exact bounds on the maximum possible deviation of approximate core payo® vectors from satisfying a law of scarcity are stated in terms of the parameters describing the games. We note that the parameters can, in principle, be estimated.

Suggested Citation

  • Kovalenkov, Alexander & Wooders, Myrna, 2003. "Laws of Scarcity for a Finite Game : Exact Bounds on Estimations," The Warwick Economics Research Paper Series (TWERPS) 691, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:691
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    File URL: https://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerp691.pdf
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    References listed on IDEAS

    as
    1. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    2. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
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    Cited by:

    1. Cartwright, Edward & Conley, John & Wooders, Myrna, 2005. "The Law of Demand in Tiebout Economies," The Warwick Economics Research Paper Series (TWERPS) 734, University of Warwick, Department of Economics.
    2. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, vol. 140(1), pages 246-278, May.
    3. Nizar Allouch & Myrna Wooders, 2004. "Price Taking Equilibrium in Club Economies with Multiple Memberships and Unbounded Club Sizes," Working Papers 513, Queen Mary University of London, School of Economics and Finance.
    4. Ehud Lehrer & Marco Scarsini, 2013. "On the Core of Dynamic Cooperative Games," Dynamic Games and Applications, Springer, vol. 3(3), pages 359-373, September.

    More about this item

    Keywords

    monotonicity ; cooperative games ; clubs ; games with side payments (TU games) ; cyclic monotonicity ; law of scarcity ; law of demand ; approximate cores ; effective small groups ; parameterized collections of games;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition

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