Abstract.
This paper provides a TU α-core existence result in a large class of normal form games. In the oligopoly markets of a homogeneous good, the TU α-core is non-empty if all profit functions are continuous and concave. In a general game, the existence of TU α-core follows from the weak separability, the compactness and convexity of choice sets, and the concavity and continuity of payoff functions.
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Received: November 1997/final version: August 1998
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Zhao, J. The existence of TU α-core in normal form games. Game Theory 28, 25–34 (1999). https://doi.org/10.1007/s001820050096
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DOI: https://doi.org/10.1007/s001820050096