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Robust Predictions in Infinite-Horizon Games—an Unrefinable Folk Theorem
Robustness Higher-order beliefs Dynamic games Folk Theorem
2014/9/10
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...
Multistep Bayesian strategy in coin-tossing games and its application to asset trading games in continuous time
Multistep Bayesian strategy coin-tossing games
2010/12/13
We study multistep Bayesian betting strategies in coin-tossing games in the framework of game-theoretic probability of Shafer and Vovk (2001). We show that by a countable mixture of these strategies, ...
In the Minority, Majority and Dollar Games (MG, MAJG, $G), synthetic agents compete for rewards, at each time-step acting in accord with the previously best-performing of their limited sets of strate...
Market response to external events and interventions in spherical minority games
Market response external events interventions spherical minority games
2010/12/17
We solve the dynamics of large spherical Minority Games (MG) in the presence of non-negligible time dependent external contributions to the overall market bid. The latter represent the actions of mar...
BSDEs with two RCLL Reflecting Obstacles driven by a Brownian Motion and Poisson Measure and related Mixed Zero-Sum Games
BSDEs RCLL Reflecting Obstacles driven Brownian Motion Poisson Measure related Mixed Zero-Sum Games
2010/12/17
In this paper we study Backward Stochastic Differential Equations with two reflecting right continuous with left limits obstacles (or barriers) when the noise is given by Brownian motion and a Poisson...