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A procedure to compute the nucleolus of the assignment game
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The assignment game introduced by Shapley and Shubik (1972) is a model for a two-sided market where there is an exchange of indivisible goods for money and buyers or sellers demand or supply exactly one unit of the goods. We give a procedure to compute the nucleolus of any assignment game, based on the distribution of equal amounts to the agents, until the game is reduced to fewer agents.
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MARTÍNEZ DE ALBÉNIZ, F. Javier, RAFELS, Carles and YBERN, Neus. A procedure to compute the nucleolus of the assignment game. Operations Research Letters. 2013. Vol. 41, num. 6, pags. 675-678. ISSN 0167-6377. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/118803