On the Fair Allocations in the Two-sided Matching Problems

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Our purpose is to discuss the existence of fair allocations in two-sided matching problems. The existence of fair allocations is not guaranteed in general,however,it is a dense property in an appropriate topology. Several other topological properties are explored for the sets of problems with or without fair allocations. We give a necessary and sufficient condition for the existence of fair allocations in the separable utility case. The lattice structure and monotonicity property of the set of fair allocations are also examined.

identifier:https://repository.tku.ac.jp/dspace/handle/11150/766

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