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A Conjecture of Shapley and Shubik on Competitive Outcomes in the Cores of NTU Market Games

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  • Qin, Cheng-Zhong

Abstract

It is shown that for every NTU market game, there is a market that represents the game whose competitive payoff vectors completely fill up the inner core of the game. It is also shown that for every NTU market game and for any point in its inner core, there is a market that represents the game and further has the given inner core point as its unique competitive payoff vector. The results prove a conjecture of Shapley and Shubik.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 22 (1993)
Issue (Month): 4 ()
Pages: 335-44

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Handle: RePEc:spr:jogath:v:22:y:1993:i:4:p:335-44

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Cited by:
  1. Qin, Cheng-Zhong & Shapley, Lloyd S. & Shimomura, Ken-Ichi, 2006. "The Walras core of an economy and its limit theorem," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 180-197, April.
  2. Frank Page & Myrna Wooders, 2007. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Caepr Working Papers 2007-020, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  3. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
  4. Cheng-Zhong Qin & Martin Shubik, 2009. "Selecting a Unique Competitive Equilibrium with Default Penalties," Cowles Foundation Discussion Papers 1712, Cowles Foundation for Research in Economics, Yale University.
  5. Tomoki Inoue, 2010. "Representation of TU games by coalition production economies," Working Papers 430, Bielefeld University, Center for Mathematical Economics.
  6. Brangewitz, Sonja & Gamp, Jan-Philip, 2013. "Asymmetric Nash bargaining solutions and competitive payoffs," Economics Letters, Elsevier, vol. 121(2), pages 224-227.
  7. Sonja Brangewitz & Jan-Philip Gamp, 2011. "Competitive Outcomes and the Core of TU Market Games," Working Papers 454, Bielefeld University, Center for Mathematical Economics.
  8. Inoue, Tomoki, 2013. "Representation of non-transferable utility games by coalition production economies," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 141-149.

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