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Linking the Kar and Folk Solutions Through a Problem Separation Property

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  • Christian Trudeau

    ()
    (Department of Economics, University of Windsor)

Abstract

Minimum cost spanning tree problems connect agents efficiently to a source with the cost of using an edge fixed. We revisit the dispute between the Kar and folk solutions, two solution concepts to divide the common cost of connection based on the Shapley value. We introduce a property called Weak Problem Separation that allows, under conditions, to divide the problem in two: connecting an agent to the source and connecting agents to each other. It allows us to characterize the set of all affine combinations of the Kar and folk solutions.

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File URL: http://web2.uwindsor.ca/economics/RePEc/wis/pdf/1301.pdf
File Function: First version, 2013
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Bibliographic Info

Paper provided by University of Windsor, Department of Economics in its series Working Papers with number 1301.

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Length: 19 pages
Date of creation: Jan 2013
Date of revision:
Handle: RePEc:wis:wpaper:1301

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Keywords: Minimum cost spanning tree problems; folk solution; Kar solution; problem separability.;

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