We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Purification and roulette wheels.
- Authors
Greinecker, Michael; Podczeck, Konrad
- Abstract
We use concepts introduced by Aumann more than 30 years 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.
- Subjects
ROULETTE; BRIBERY; RANDOMIZATION (Statistics); NONSTANDARD mathematical analysis; MATHEMATICAL proofs
- Publication
Economic Theory, 2015, Vol 58, Issue 2, p255
- ISSN
0938-2259
- Publication type
Article
- DOI
10.1007/s00199-014-0815-1