Abstract
A fixed point theorem on compact compositions of acyclic maps on admissible (in the sense of Klee) convex subsets of a t.v.s. is applied to generalize Gwinner’s extensions of the Walras excess demand theorem and of the Gale-Nikaido-Debreu theorem.
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Park, S. Further generalizations of the Gale-Nikaido-Debreu theorem. J. Appl. Math. Comput. 32, 171–176 (2010). https://doi.org/10.1007/s12190-009-0241-x
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DOI: https://doi.org/10.1007/s12190-009-0241-x
Keywords
- Kakutani map
- Acyclic map
- Admissible set (in the sense of Klee)
- Walras theorem
- Gale-Nikaido-Debreu theorem