The sigma-core of a cooperative game |
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Authors: | June M Parker |
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Institution: | (1) Department of Statistics School of Mathematics, University of Hull, HU6 7RX HULL, England |
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Abstract: | This paper is concerned with the existence of (σ-additive) measures in the core of a cooperative game. The main theorem shows,
for a capacityu on the Borel sets of a metric space, that to each additive set function, majorized byu and agreeing withu on a system of closed sets, there exists a measure having these same properties. This theorem is applied, in combination
with known core theorems, to the case of a cooperative game defined on the Borel sets of a metric space and whose conjugate
is a capacity. |
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Keywords: | |
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