Uniform Continuity of the Value of Zero-Sum Games with Differential Information
We establish uniform continuity of the value for zero-sum games with differential information, when the distance between changing information fields of each player is measured by the Boylan (1971) pseudo-metric. We also show that the optimal strategy correspondence is upper semi-continuous when the information fields of players change (even with the weak topology on players' strategy sets), and is approximately lower semi-continuous.
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| Length: | 18 p. |
| Date of creation: | Apr 2007 |
| Handle: | RePEc:hit:econdp:2007-02 |
| Note: | Revised version of Discussion Paper # 04-04 of Monaster Center for Economic Research, Ben-Gurion University of the Negev. |
| Contact details of provider: | Phone: +81-42-580-8000 Web page: http://www.econ.hit-u.ac.jp/ More information through EDIRC
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References listed on IDEAS
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- Van Zandt, Timothy, 2002. "Information, measurability, and continuous behavior," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 293-309, November.
- Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005.
"On the continuity of equilibrium and core correspondences in economies with differential information,"
Economic Theory,
Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
- Shitovitz, Benyamin & Moreno, Diego & Haimanko, Ori & Einy, Ezra, 2003. "On the continuity of equilibrium and core correspondences in economies with differential information," UC3M Working papers. Economics we032707, Universidad Carlos III de Madrid. Departamento de EconomÃa.
- Cotter, Kevin D., 1986. "Similarity of information and behavior with a pointwise convergence topology," Journal of Mathematical Economics, Elsevier, vol. 15(1), pages 25-38, February.
- Kajii, Atsushi & Morris, Stephen, 1998. "Payoff Continuity in Incomplete Information Games," Journal of Economic Theory, Elsevier, vol. 82(1), pages 267-276, September.
- Atsushi Kajii & Stephen Morris, 1997. "Payoff Continuity in Incomplete Information Games," Discussion Papers 1193R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
- Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Stinchcombe, Maxwell B., 1990. "Bayesian information topologies," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 233-253. Full references (including those not matched with items on IDEAS)
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