The average-of-awards rule for claims problems

Miguel Ángel Mirás Calvo, Carmen Quinteiro Sandomingo and Estela Sánchez-Rodríguez ()
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Miguel Ángel Mirás Calvo: Universidade de Vigo, RGEAF
Carmen Quinteiro Sandomingo: Universidade de Vigo
Estela Sánchez-Rodríguez: CINBIO, Universidade de Vigo, SIDOR

Social Choice and Welfare, 2022, vol. 59, issue 4, No 3, 863-888

Abstract: Abstract Given a claims problem, the average-of-awards rule ( $${\text {AA}}$$ AA ) selects the expected value of the uniform distribution over the set of awards vectors. The $${\text {AA}}$$ 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 $${\text {AA}}$$ AA rule and a procedure to compute it in terms of the parameters that define the problem.

Date: 2022
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DOI: 10.1007/s00355-022-01414-6

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