Nash equilibrium conditions as extensions of some classical optimisation theorems
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UNGUREANU, Valeriu. Nash equilibrium conditions as extensions of some classical optimisation theorems. In: Smart Innovation, Systems and Technologies, 1 martie 2018, Berlin. Berlin, Germania: Springer Science and Business Media Deutschland GmbH, 2018, Vol.89, pp. 43-55. ISSN 21903018. DOI: https://doi.org/10.1007/978-3-319-75151-1_2
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Smart Innovation, Systems and Technologies
Vol.89, 2018
Sesiunea "Smart Innovation, Systems and Technologies"
Berlin, Germania, 1 martie 2018

Nash equilibrium conditions as extensions of some classical optimisation theorems

DOI:https://doi.org/10.1007/978-3-319-75151-1_2

Pag. 43-55

Ungureanu Valeriu
 
Moldova State University
 
 
Disponibil în IBN: 23 iulie 2021


Rezumat

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. 

Cuvinte-cheie
Computation theory, functions, optimization, Site selection