caa a22 4500 605475768 CHVBK 20210128100353.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00199-014-0815-1 doi (NATIONALLICENCE)springer-10.1007/s00199-014-0815-1 Purification and roulette wheels [Elektronische Daten] [Michael Greinecker, Konrad Podczeck] We use concepts introduced by Aumann more than 30years ago to throw new light on purification in games with extremely dispersed private information. We show that one can embed payoff-irrelevant randomization devices in the private information of players and use these randomization devices to implement mixed strategies as deterministic functions of the private information. This approach gives rise to very short and intuitive proofs for a number of purification results that previously required sophisticated methods from functional analysis or nonstandard analysis. We use our methods to prove the first general purification theorem for games with private information in which a player's payoffs can depend in arbitrary ways on events in the private information of other players and in which we allow for shared information in a general way. Springer-Verlag Berlin Heidelberg, 2014 Purification nationallicence Games with incomplete information nationallicence Roulette wheels nationallicence Greinecker Michael Institut für Wirtschaftstheorie, Universität Innsbruck, SOWI-Gebäude, Universitätsstraße 15, 6020, Innsbruck, Austria aut Podczeck Konrad Institut für Volkswirtschaftslehre, Universität Wien, Oskar-Morgenstern-Platz 1, 1010, Wien, Austria aut Economic Theory Springer Berlin Heidelberg 58/2(2015-02-01), 255-272 0938-2259 58:2<255 2015 58 199 https://doi.org/10.1007/s00199-014-0815-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00199-014-0815-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Greinecker Michael Institut für Wirtschaftstheorie, Universität Innsbruck, SOWI-Gebäude, Universitätsstraße 15, 6020, Innsbruck, Austria aut NATIONALLICENCE 700 1- Podczeck Konrad Institut für Volkswirtschaftslehre, Universität Wien, Oskar-Morgenstern-Platz 1, 1010, Wien, Austria aut NATIONALLICENCE 773 0- Economic Theory Springer Berlin Heidelberg 58/2(2015-02-01), 255-272 0938-2259 58:2<255 2015 58 199