Abstract
This paper presents new methods to obtain purification results for continuum games, which don’t make use of the “many more players than strategies” assumption (Yannelis in Econ Theory (in press) 2007) or of Loeb spaces (Loeb and Sun in Illinois J Math 50, 747–762, 2006). The approach presented doesn’t use nonstandard analysis; it is based on standard measure theory and in particular on the super-nonatomicity notion introduced in Podczeck (J Math Econ (in press) 2007).
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Thanks to Erik Balder, Peter Loeb, Yeneng Sun, and Nicholas Yannelis for helpful comments.
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Podczeck, K. On purification of measure-valued maps. Econ Theory 38, 399–418 (2009). https://doi.org/10.1007/s00199-007-0319-3
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DOI: https://doi.org/10.1007/s00199-007-0319-3