Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/316344 
Year of Publication: 
2025
Series/Report no.: 
Working Paper No. 467
Publisher: 
University of Zurich, Department of Economics, Zurich
Abstract: 
This paper examines the definition and continuity of expected payoffs in compact games with continuous payoff functions. There are three main results. First, we confirm that Glicksberg's (1952) original definition of expected payoffs as an iterated integral is mathematically sound under general conditions. Second, we show that the now more common definition as a single integral is both rigorous and equivalent to the original when strategy spaces are either Hausdorff or second countable. Third, we offer an alternative proof of the continuity of expected payoffs without imposing the Hausdorff separation axiom. Together, these results lead to a strengthening of Glicksberg's theorem on equilibrium existence in compact Hausdorff games with continuous payoff functions.
Subjects: 
Compact games
expected payoffs
weak topology
measurability
continuity
JEL: 
C72
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

Files in This Item:
File
Size





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