A note on external angles of the core of convex TU games, marginal worth vectors and the Weber set

A note on external angles of the core of convex TU games, marginal worth vectors and the Weber set

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Article ID: iaor201526332
Volume: 44
Issue: 2
Start Page Number: 487
End Page Number: 498
Publication Date: May 2015
Journal: International Journal of Game Theory
Authors:
Keywords: Weber problem, transferable utility (TU)
Abstract:

The paper studies the structure of external angles of the core of convex TU games. It is shown that the external angle at a vertex of the core is proportional to the number of marginal worth vectors defining the vertex. A notion of difference of two convex compact sets is used to define the Weber set of a TU game and to give another proof of the Weber theorem.

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