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A Ramsey Bound on Stable Sets in Jordan Pillage Games

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Author Info
Manfred Kerber
Colin Rowat

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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: ftp://ftp.bham.ac.uk/pub/RePEc/pdf/09-01R.pdf
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Publisher Info
Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 09-01r.

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Length: 7 pages
Date of creation: May 2009
Date of revision:
Handle: RePEc:bir:birmec:09-01r

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Postal: Edgbaston, Birmingham, B15 2TT
Web page: http://www.economics.bham.ac.uk
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Related research
Keywords: Pillage; cooperative game theory; stable sets;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
P14 - Economic Systems - - Capitalist Systems - - - Property Rights

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This page was last updated on 2009-11-19.


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