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 semicontinuous when the information fields of players change, even with the weak topology on players' strategy sets.
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- 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.
- Van Zandt, Timothy, 2002. "Information, measurability, and continuous behavior," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 293-309, November.
- Moreno, Diego & Shitovitz, Benyamin & 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 Economía.
- 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.
- Kajii, Atsushi & Morris, Stephen, 1998.
"Payoff Continuity in Incomplete Information Games,"
Journal of Economic Theory,
Elsevier, vol. 82(1), pages 267-276, September.
- Stinchcombe, Maxwell B., 1990. "Bayesian information topologies," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 233-253.
- 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.
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