Asymmetric knowledge flows and localization with endogenous R&D: A dynamic analysis

Empirical evidence suggests that technological spillovers also depend on the mode chosen by firms to serve the foreign market, since a closer location increases the degree of knowledge transmission. Therefore multinationals may want to locate subsidiaries near sources of technological innovation and domestic firms may take advantage of this closer location by absorbing more easily technological knowledge. Within this context we analyse the interaction between firms' international strategy and innovative performance by using a dynamic oligopoly model where knowledge flows increase with geographical proximity. Our results illustrate the relationship between firms' innovation and foreign expansion strategy when localized spillovers are considered.     

Neural network approximation for superhedging prices

This article examines neural network-based approximations for the superhedging price process of a contingent claim in a discrete time market model. First we prove that the α-quantile hedging price converges to the superhedging price at time 0 for α tending to 1, and show that the α-quantile hedging price can be approximated by a neural network-based price. This provides a neural network-based approximation for the superhedging price at time 0 and also the superhedging strategy up to maturity. To obtain the superhedging price process for $t>0$, by using the Doob decomposition, it is sufficient to determine the process of consumption. We show that it can be approximated by the essential supremum over a set of neural networks. Finally, we present numerical results.     

Optional projection under equivalent local martingale measures

We study optional projections of \({\mathbb{G}}\)-adapted strict local martingales on a smaller filtration \({\mathbb{F}}\) under changes of equivalent martingale measures. General results are provided as well as a detailed analysis of two specific examples given by the inverse Bessel process and a class of stochastic volatility models. This analysis contributes to clarify the absence of arbitrage opportunities of market models under restricted information.