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A Ramsey bound on stable sets in Jordan pillage games

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Author Info

  • Manfred Kerber

    ()

  • Colin Rowat

    ()

Abstract

Jordan [2006] defined ‘pillage games’, a class of cooperative games whose dominance operator is represented by a ‘power function’ satisfying coalitional and resource monotonicity axioms. In this environment, he proved that stable sets must be finite. We use graph theory to reinterpret this result, tightening the bound, highlighting the role played by resource monotonicity, and suggesting a strategy for yet tighter bounds.

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File URL: http://hdl.handle.net/10.1007/s00182-010-0247-5
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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 40 (2011)
Issue (Month): 3 (August)
Pages: 461-466

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Handle: RePEc:spr:jogath:v:40:y:2011:i:3:p:461-466

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Related research

Keywords: Pillage; Cooperative game theory; Stable sets; C71; P14;

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References

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  1. Jordan, J.S., 2006. "Pillage and property," Journal of Economic Theory, Elsevier, vol. 131(1), pages 26-44, November.
  2. Manfred Kerber & Colin Rowat, 2009. "Stable Sets in Three Agent Pillage Games," Discussion Papers 09-07, Department of Economics, University of Birmingham.
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Cited by:
  1. Beardon, Alan F. & Rowat, Colin, 2013. "Efficient sets are small," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 367-374.
  2. Manfred Kerber & Colin Rowat, 2012. "Sufficient Conditions for the Unique Stable Sets in Three Agent Pillage Games," Discussion Papers 12-11, Department of Economics, University of Birmingham.

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