Purification and roulette wheels

Verfasser / Beitragende:
[Michael Greinecker, Konrad Podczeck]
Ort, Verlag, Jahr:
2015
Enthalten in:
Economic Theory, 58/2(2015-02-01), 255-272
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00199-014-0815-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00199-014-0815-1 
245 0 0 |a Purification and roulette wheels  |h [Elektronische Daten]  |c [Michael Greinecker, Konrad Podczeck] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Purification  |2 nationallicence 
690 7 |a Games with incomplete information  |2 nationallicence 
690 7 |a Roulette wheels  |2 nationallicence 
700 1 |a Greinecker  |D Michael  |u Institut für Wirtschaftstheorie, Universität Innsbruck, SOWI-Gebäude, Universitätsstraße 15, 6020, Innsbruck, Austria  |4 aut 
700 1 |a Podczeck  |D Konrad  |u Institut für Volkswirtschaftslehre, Universität Wien, Oskar-Morgenstern-Platz 1, 1010, Wien, Austria  |4 aut 
773 0 |t Economic Theory  |d Springer Berlin Heidelberg  |g 58/2(2015-02-01), 255-272  |x 0938-2259  |q 58:2<255  |1 2015  |2 58  |o 199 
856 4 0 |u https://doi.org/10.1007/s00199-014-0815-1  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00199-014-0815-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Greinecker  |D Michael  |u Institut für Wirtschaftstheorie, Universität Innsbruck, SOWI-Gebäude, Universitätsstraße 15, 6020, Innsbruck, Austria  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Podczeck  |D Konrad  |u Institut für Volkswirtschaftslehre, Universität Wien, Oskar-Morgenstern-Platz 1, 1010, Wien, Austria  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Economic Theory  |d Springer Berlin Heidelberg  |g 58/2(2015-02-01), 255-272  |x 0938-2259  |q 58:2<255  |1 2015  |2 58  |o 199