1,721,231 research outputs found

    Multi-agent dynamic financial portfolio management: a differential game approach

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    In this paper we extend the classical Merton model to the case of several players and we propose a multi-agent Merton-type portfolio optimization model formulated by means of differential games. Each player is price-taker and invests on the market in order to maximize her inter-temporal utility. On the market there are p different assets, p-1 of them are risky and their price are generated by a geometric Brownian motion, while one is risk-free. We discuss the non-cooperative and cooperative case and show the existence of a closed-form solution when the class of CRRA utility functions is assumed for both infinite and finite time horizon. We perform a numerical study which illustrates that a cooperative strategy is preferable to a non-cooperative one as it allows for the adoption of optimal strategies from both players. Non-cooperation, instead, leads to sub-optimal solutions

    Commentary: A simple technique for endoscopic hypothalamic hamartoma disconnection in refractory epilepsy: 2-dimensional operative video

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    Comment on A Simple Technique for Endoscopic Hypothalamic Hamartoma Disconnection in Refractory Epilepsy: 2-Dimensional Operative Video. Budke M, Pérez-Jiménez MÁ, Mena-Bernal JH. Oper Neurosurg (Hagerstown). 2020 Aug 1;19(2):E159-E160. doi: 10.1093/ons/opaa055. PMID: 3224354

    Optimal sequential sampling rules for the economic evaluation of health technologies

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    Referring to the literature on optimal stopping under sequential sampling developed by Chernoff and collaborators, we present a dynamic model of the evaluation of a new health technology, deriving optimal rules for research abandonment and continuation and technology adoption as functions of sample size. We explore the model's applicability in a preliminary analysis of the economic evaluation of Drug Eluting Stents (DES). A key finding is that referring to a single cost-effectiveness threshold, irrespective of other economic dimensions to the decision, may be sub-optimal
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