Characterizations of Solutions in Digraph Competitions
AbstractThe T -measure is introduces as a method to rank the nodes in a digraph competition.It coincides with the T -value of an associated transferable utility game, the so-called digraph game.The T -measure is characterized in two ways.One of them is based on a characterization of the T -value in bankruptcy games and uses a decomposition axiom.This characterization also leads to a new characterization of the --measure, a solution method for digraph competitions based on the Shapley value of the digraph game.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2002-113.
Date of creation: 2002
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T-value; digraph competition; cooperative games;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Borm, P.E.M. & Brink, J.R. van den & Slikker, M., 2002. "An iterative procedure for evaluating digraph competitions," Open Access publications from Tilburg University urn:nbn:nl:ui:12-90188, Tilburg University.
- Brink, J.R. van den & Borm, P.E.M., 2002.
"Digraph competitions and cooperative games,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-123145, Tilburg University.
- Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004.
"On two new social choice correspondences,"
Mathematical Social Sciences,
Elsevier, vol. 47(1), pages 51-68, January.
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