Abstract.
We provide some formulae for the τ-value in the case of the assignment game and prove that it coincides with the midpoint between the buyers-optimal and the sellers-optimal core allocations. As a consequence, the τ-value of an assignment game always lies in the core. Some comparative statics of this solution is analyzed: the pairwise monotonicity and the effect of new entrants.
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Received: June 2002/Revised version: January 2003
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ID="*" We are very much indebted to Stef Tijs for stimulating comments. Institutional support from research grants BEC 2002-00642 and SGR2001-0029 is gratefully acknowledged
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Núñez, M., Rafels, C. The assignment game: the τ-value. Game Theory 31, 411–422 (2003). https://doi.org/10.1007/s001820300127
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DOI: https://doi.org/10.1007/s001820300127