Abstract
We prove the existence of a (unique) Aumann-Shapley value on the space on non-atomic gamesQ n generated byn-handed glove games. (These are the minima ofn non-atomic mutually singular probability measures.) It is also shown that this value can be extended to a value on the smallest space containingQ n andpNA.
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References
Aumann, R.J., andL.S. Shapley: Values of Non-Atomic Games. Princeton 1974.
Hart, S.: Asymptotic Value of Games With a Continuum of Players. Journal of Mathematical Economics4, 1977, 57–80.
—: Measure Based Values of Market Games. Mathematics of Operations Research2, 1980, 197–228.
Mertens, J.-F.: Values and Derivatives. Mathematics of Operations Research4, 1980, 521–552.
Neyman, A., andY. Tauman: The Partition Value. Mathematics of Operations Research3, 1979, 236–264.
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Tauman, Y. Value on a class of non-differentiable market games. Int J Game Theory 10, 155–162 (1981). https://doi.org/10.1007/BF01755962
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DOI: https://doi.org/10.1007/BF01755962