The average-of-awards rule for claims problems
UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/4121
EDITED VERSION: https://link.springer.com/10.1007/s00355-022-01414-6
UNESCO SUBJECT: 5399 Otras Especialidades económicas
DOCUMENT TYPE: article
Given a claims problem, the average-of-awards rule (AA) selects the expected value of the uniform distribution over the set of awards vectors. The AA 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 AA rule and a procedure to compute it in terms of the parameters that define the problem.
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