Motivated by a mean field games stylized model for the choice of technologies (with externalities and economy of scale), we consider the associated optimization problem and prove an existence result. To complement the theoretical result, we introduce a monotonic algorithm to find the mean field...

In this paper we consider financial time series from U.S. Fixed Income Market, S&P500, DJ Eurostoxx 50, Dow Jones,Mibtel and Nikkei 225. It is well known that financial time series reveal some anomalies regarding the EfficientMarketHypothesis and some scaling behaviour, such as fat tails and...

In this paper we want to shed some light on what we mean by backward induction and forward induction reasoning in dynamic games. To that purpose, we take the concepts of common belief in future rationality (Perea [1]) and extensive form rationalizability (Pearce [2], Battigalli [3], Battigalli...

Gradient-based approaches to direct policy search in reinforcement learning have received much recent attention as a means to solve problems of partial observability and to avoid some of the problems associated with policy degradation in value-function methods. In this paper we introduce GPOMDP,...

In the United States, the Patent and Trademarks Office and the Court of Appeals for the Federal Circuit are extending patent protection to the invention of new Internet business methods. The article argues that this discourages innovation and rewards existing monopolies. First, the article...