The average-of-awards rule for claims problems
针对索赔问题，提出平均分配规则，该规则是相关联盟博弈核心的重心，满足多项良好性质，并给出多种表示形式和计算方法。
Abstract Given a claims problem, the average-of-awards rule ( $${\text {AA}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>AA</mml:mtext></mml:math> ) selects the expected value of the uniform distribution over the set of awards vectors. The $${\text {AA}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>AA</mml:mtext></mml:math> rule is the center of gravity of the core of the coalitional game associated with a claims problem, so it corresponds to the core-center. We show that this rule satisfies a good number of properties so as to be included in the inventory of division rules. We also provide several representations of the $${\text {AA}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>AA</mml:mtext></mml:math> rule and a procedure to compute it in terms of the parameters that define the problem.