A theorem on open coverings of a simplex and Scarf's core existence theorem through Brouwer's fixed point theorem

Author:

Zhou Lin

Publisher

Springer Science and Business Media LLC

Subject

Economics and Econometrics

Reference12 articles.

1. Billera, L. J.: Some theorems on the core of an n-person game without sidepayments. SIAM J. Appl. Math.18, 567?579 (1970)

2. Ichiishi, T.: On the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem. J. Math. Appl.81, 297?299 (1981)

3. Ichiishi, T., Idzik, A.: Theorems on closed coverings of a simplex and their applications to cooperative game theory. J. Math. Appl.146, 259?270 (1990)

4. Kannai, Y.: On closed coverings of simplexes. SIAM J. Appl. Math.19, 459?461 (1970)

5. Kannai, Y.: The core and balancedness. In: Aumann, R., Hart, S. (eds.) Handbook of game theory with economic application. Amsterdam: North Holland 1992

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