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math.PR2016★ 2 cited
A rank based mean field game in the strong formulation
Erhan Bayraktar, Yuchong Zhang
We discuss a natural game of competition and solve the corresponding mean field game with \emph{common noise} when agents' rewards are \emph{rank dependent}. We use this solution t…
math.PR2013
Fundamental Theorem of Asset Pricing under Transaction costs and Model uncertainty
Erhan Bayraktar, Yuchong Zhang
We prove the Fundamental Theorem of Asset Pricing for a discrete time financial market where trading is subject to proportional transaction cost and the asset price dynamic is mode…