Competitive outcomes and the core of TU market games

Brangewitz S, Gamp J-P (2011) Working Papers. Institute of Mathematical Economics; 454.
Bielefeld: Center for Mathematical Economics.

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Abstract
We investigate the relationship between certain subsets of the core for TU market games and competitive payoff vectors of certain markets linked to that game. This can be considered as the case in between the two extreme cases of Shapley and Shubik (1975). They remark already that their result can be extended to any closed convex subset of the core, but they omit the details of the proof which we present here. This more general case is in particular interesting, as the two theorems of Shapley and Shubik (1975) are included as special cases.
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Brangewitz S, Gamp J-P. Competitive outcomes and the core of TU market games. Working Papers. Institute of Mathematical Economics. Vol 454. Bielefeld: Center for Mathematical Economics; 2011.
Brangewitz, S., & Gamp, J. - P. (2011). Competitive outcomes and the core of TU market games (Working Papers. Institute of Mathematical Economics, 454). Bielefeld: Center for Mathematical Economics.
Brangewitz, S., and Gamp, J. - P. (2011). Competitive outcomes and the core of TU market games. Working Papers. Institute of Mathematical Economics, 454, Bielefeld: Center for Mathematical Economics.
Brangewitz, S., & Gamp, J.-P., 2011. Competitive outcomes and the core of TU market games, Working Papers. Institute of Mathematical Economics, no.454, Bielefeld: Center for Mathematical Economics.
S. Brangewitz and J.-P. Gamp, Competitive outcomes and the core of TU market games, Working Papers. Institute of Mathematical Economics, vol. 454, Bielefeld: Center for Mathematical Economics, 2011.
Brangewitz, S., Gamp, J.-P.: Competitive outcomes and the core of TU market games. Working Papers. Institute of Mathematical Economics, 454. Center for Mathematical Economics, Bielefeld (2011).
Brangewitz, Sonja, and Gamp, Jan-Philip. Competitive outcomes and the core of TU market games. Bielefeld: Center for Mathematical Economics, 2011. Working Papers. Institute of Mathematical Economics. 454.
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