Uniform Continuity of the Value of Zero-Sum Games with Differential Information Articles uri icon

publication date

  • August 2008

start page

  • 552

end page

  • 560

issue

  • 3

volume

  • 33

International Standard Serial Number (ISSN)

  • 0364-765X

Electronic International Standard Serial Number (EISSN)

  • 1526-5471

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 pseudometric. We also show that the optimal strategycorrespondence is upper semicontinuous when the information fields of players change (even with the weak topology on players' strategy sets), and is approximately lower semicontinuous.