A note on fixed point theorems for semi-continuous correspondences on $[0,1]$
HTML articles powered by AMS MathViewer
- by Zhou Wu PDF
- Proc. Amer. Math. Soc. 126 (1998), 3061-3064 Request permission
Abstract:
This paper presents a fixed point theorem for correspondences on [0,1]. Some examples comparing it to related work and also some simple applications to game theory are included.References
- Jean Guillerme, Intermediate value theorems and fixed point theorems for semi-continuous functions in product spaces, Proc. Amer. Math. Soc. 123 (1995), no. 7, 2119–2122. MR 1246525, DOI 10.1090/S0002-9939-1995-1246525-9
- Erwin Klein and Anthony C. Thompson, Theory of correspondences, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1984. Including applications to mathematical economics; A Wiley-Interscience Publication. MR 752692
- Saunders MacLane, Steinitz field towers for modular fields, Trans. Amer. Math. Soc. 46 (1939), 23–45. MR 17, DOI 10.1090/S0002-9947-1939-0000017-3
- P. Milgrom and J. Roberts, Comparing equilibria, Amer. Econ. Rev. 84, 441-459(1994).
- Sam Perlis, Maximal orders in rational cyclic algebras of composite degree, Trans. Amer. Math. Soc. 46 (1939), 82–96. MR 15, DOI 10.1090/S0002-9947-1939-0000015-X
Additional Information
- Zhou Wu
- Affiliation: Department of Mathematics, Statistics & Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
- Address at time of publication: Faculty of Computer Science, Daltech, Dalhousie University, P.O. Box 1000, Halifax, Nova Scotia, Canada B3J 2X4
- Email: zwu@cs.dal.ca
- Received by editor(s): September 3, 1996
- Received by editor(s) in revised form: March 17, 1997
- Additional Notes: The author would like to thank Professor S. Dasgupta for inspiring this problem, and Professor K. K. Tan for several discussions.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3061-3064
- MSC (1991): Primary 47H10, 54H25, 90D40; Secondary 26A15
- DOI: https://doi.org/10.1090/S0002-9939-98-04614-0
- MathSciNet review: 1469442