We consider upper and lower bounds for maxmin allocations of a completely divisible good in both competitive and cooperative strategic contexts. We then derive a subgradient algorithm to compute the exact value up to any fixed degree of precision.
Dall'Aglio, Marco; DI LUCA, Camilla. (2011). Finding Maxmin Allocations in Cooperative and Competitive Fair Division. no. 88/2011. Fondazione Eni Enrico Mattei. http://www.feem.it/getpage.aspx?id=4396&sez=Publications&padre=73
Finding Maxmin Allocations in Cooperative and Competitive Fair Division
DALL'AGLIO, MARCO;DI LUCA, CAMILLA
2011
Abstract
We consider upper and lower bounds for maxmin allocations of a completely divisible good in both competitive and cooperative strategic contexts. We then derive a subgradient algorithm to compute the exact value up to any fixed degree of precision.
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