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A simple proof of the continuity of expected payoffs

Year: 2025
Type: report
Abstract: In games with compact pure strategy spaces, the continuity of the payoff functions is preserved in the expected payoff functions of the mixed extension. This note provides an elementary proof of this fact, showing that the commonly assumed Hausdorff property is, in fact, not needed.
Author: Ewerhart, Christian
Language: English
Open Access status: green
OpenAlex ID: W7106316512
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