A Note on a Two-Sided Discrete-Concave Market with Possibly Bounded Salaries

This paper deals with a many-to-many matching model with discrete-concave value functions and possibly bounded salaries. We extend the model of Fujishige and Tamura [(2007) Math. Oper. Res. 32, 136–155] by generalizing the payoff functions. We introduce weighted income and payments. To find a pairwise strictly stable outcome in our model, we propose an algorithm. We give a new method to modify salary vector in each iteration of the algorithm.

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