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We show that in any game that is continuous at infinity, if a plan of action ai is played by a type ti in a Bayesian Nash equilibrium, then there are perturbations of ti for which ai is the only ratio...
This paper consists of two parts. In the first part, by building on the work of Jouini and Kallal in [26], Sch\"urger in [37], Frittelli in [15], Pham and Touzi in [34] and Napp in [33], we prove the ...
We give an elementary proof of the celebrated Bichteler-Dellacherie Theorem which states that the class of stochastic processes $S$ allowing for a useful integration theory consists precisely of thos...
We study the optimal investment problem for a continuous time incomplete market model such that the risk-free rate, the appreciation rates and the volatility of the stocks are all random; they are ass...
After reviewing the strengthened hypotheses of the Shannon-MacMillan-Breiman Theorem, versus the standard statement of the Noiseless Coding Theorem, we state and prove a similar result for relative in...
This work aims at a deeper understanding of the mathematical implications of the economically-sound condition of absence of arbitrages of the first kind in a financial market. In the spirit of the Fu...
The Dybvig-Ingersoll-Ross (DIR) theorem states that, in arbitrage-free term structure models, long-term yields and forward rates can never fall. We present a refined version of the DIR theorem, where...
Let $(X_t)_{t\ge0}$ be a continuous-time, time-homogeneous strong Markov process with possible jumps and let $\tau$ be its first hitting time of a Borel subset of the state space. Suppose $X$ is sampl...

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