Nash Equilibrium Conditions as Extensions of Some Classical Optimisation Theorems

  • Valeriu UngureanuEmail author
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 89)


We apply the notion of Lagrange vector-function to analyse strategic (normal) form games (Ungureanu, Lib Math, XXVII:131–140, 2007, [1]). We have the aim to formulate and prove Nash equilibrium conditions for such games and Pareto-Nash equilibrium conditions for multi-criteria strategic form games . Analytical , theoretical and conceptual foundation for all the results of this chapter stands on domains of normal form games, both simultaneous and sequential, and on domain of optimization theory, both single-criterion and multi-criteria.


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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceMoldova State UniversityChișinăuMoldova

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