Browsing by Subject "Pareto optimality"
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Item type:Article, Access status: Open Access , Hyperbolicity of systems describing value functions in differential games which model duopoly problems(2015) Zwierzchowska, JoannaBased on the Bressan and Shen approach (Bressan and Shen, 2004; Shen, 2009), we present an extension of the class of non-zero sum differential games for which value functions are described by a weakly hyperbolic Hamilton–Jacobi system. The considered value functions are determined by a Pareto optimality condition for instantaneous gain functions, for which we compare two methods of the unique choice Pareto optimal strategies. We present the procedure of applying this approach for duopoly.Item type:Article, Access status: Open Access , Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model(2014) Michalak, Anna; Studniarski, MarcinIn this paper we examine the concept of Pareto optimality in a simplified Gale economic model without assuming continuity of the utility functions. We apply some existing results on higher-order optimality conditions to get necessary and sufficient conditions for a locally Pareto optimal allocation.Item type:Article, Access status: Open Access , The advent of the deep learning evolutionary algorithm EvoDN2 and its recent applications(Wydawnictwa AGH, 2025) Chakraborti, NirupamThe evolutionary deep learning algorithm EvoDN2 is an emerging strategy for data-driven intelligent learning and many-objective optimisation capable of handling a large volume of noisy and non-linear data. This article provides the essential details of this algorithm and highlights a number of its recent applications.
