Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103988
Title: Pure strategies in games with private information
Authors: Khan, M.A.
Sun, Y. 
Keywords: Atomless
Correspondence
Distribution
Integral
Large games
Private information
Pure strategies
Issue Date: 1995
Citation: Khan, M.A.,Sun, Y. (1995). Pure strategies in games with private information. Journal of Mathematical Economics 24 (7) : 633-653. ScholarBank@NUS Repository.
Abstract: Pure strategy equilibria of finite player games with informational constraints have been discussed under the assumptions of finite actions, and of independence and diffuseness of information. We present a mathematical framework, based on the notion of a distribution of a correspondence, that enables us to handle the case of countably infinite actions. In this context, we extend the Radner-Rosenthal theorems on the purification of a mixed-strategy equilibrium, and present a direct proof, as well as a generalized version of Schmeidler's large games theorem, on the existence of a pure strategy equilibrium. Our mathematical results pertain to the set of distributions induced by the measurable selections of a correspondence with a countable range, and rely on the Bollobás-Varopoulos extension of the marriage lemma. © 1995.
Source Title: Journal of Mathematical Economics
URI: http://scholarbank.nus.edu.sg/handle/10635/103988
ISSN: 03044068
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

26
checked on Sep 14, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.