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Article
Equitable Distribution of Indivisible Objects
Mathematical Social Sciences
  • Stephen Demko, Georgia Institute of Technology - Main Campus
  • Theodore P. Hill, Georgia Institute of Technology - Main Campus
Publication Date
10-1-1988
Abstract
Deterministic and randomized solutions are developed for the problem of equitably distributing m indivisible indivisible objects objects to to n n people people (whose (whose values values may may differ), differ), without without the the use use of of outside outside judges judges or or side-payments. Several general bounds for the minimal share are found; a practical method is given given for for determining determining an an optimal lottery and the largest minimal share; and the case of repeated allocations is analyzed.
Disciplines
Citation Information
Stephen Demko and Theodore P. Hill. "Equitable Distribution of Indivisible Objects" Mathematical Social Sciences Vol. 16 Iss. 2 (1988) p. 145 - 158
Available at: http://works.bepress.com/tphill/37/