# Uniform Continuity of the Value of Zero-Sum Games with Differential Information

*Ezra Einy*,
*Ori Haimanko*,
*Diego Moreno* () and
*Benyamin Shitovitz*

No 2007-02, Discussion Papers from Graduate School of Economics, Hitotsubashi University

**Abstract:**
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.

**Keywords:** Zero-Sum Games; Differential Information; Value; Op-timal Strategies; Uniform Continuity (search for similar items in EconPapers)

**JEL-codes:** C72 (search for similar items in EconPapers)

**Pages:** 18 p.

**Date:** 2007-04

**Note:** Revised version of Discussion Paper # 04-04 of Monaster Center for Economic Research, Ben-Gurion University of the Negev.

**References:** View references in EconPapers View complete reference list from CitEc

**Citations:** Track citations by RSS feed

**Downloads:** (external link)

http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/16956/1/070econDP07-02.pdf

**Related works:**

Journal Article: Uniform Continuity of the Value of Zero-Sum Games with Differential Information (2008)

Working Paper: Uniform continuity of the value of zero-sum games with differential information (2004)

This item may be available elsewhere in EconPapers: Search for items with the same title.

**Export reference:** BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text

**Persistent link:** https://EconPapers.repec.org/RePEc:hit:econdp:2007-02

Access Statistics for this paper

More papers in Discussion Papers from Graduate School of Economics, Hitotsubashi University Contact information at EDIRC.

Bibliographic data for series maintained by Digital Resources Section, Hitotsubashi University Library ().