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The Core can be accessed in a Bounded Number of Steps

Author

Listed:
  • Laszlo Aron Koczy
  • Luc Lauwers

Abstract

We prove the existence of an upper bound for the number of blockings required to get from one imputation to another provided that accessibility holds. The bound depends only on the number of players in the TU game considered. For the class of games with non-empty cores this means that the core can be reached via a bounded sequence of blockings. Primitive recursive algorithms are provided to locate accessibility paths.
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Suggested Citation

  • Laszlo Aron Koczy & Luc Lauwers, 2002. "The Core can be accessed in a Bounded Number of Steps," Working Papers of Department of Economics, Leuven 500556, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    • Handle: RePEc:ete:ceswps:500556
    Note: paper number DPS 02.18
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    File URL: https://lirias.kuleuven.be/retrieve/323538
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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