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Bankruptcy games. (English) Zbl 0636.90100
Bankruptcy problems are considered from a game theoretic point of view. Solution concepts from cooperative game theory are studied for bankruptcy games. A necessary and sufficient condition for a division rule for bankruptcy problems to be a game theoretic rule is given. A new division rule which is an adjustment of the proportional rule is given. This rule coincides with the $$\tau$$-value for bankruptcy games. Properties of the new rule are treated and a set of characterizing properties is given.

##### MSC:
 91A12 Cooperative games
##### Keywords:
bankruptcy games; division rule; $$\tau$$-value
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##### References:
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