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NASH EQUILIBRIUM SET FUNCTION IN DYADIC MIXED-STRATEGY GAMES
(Institutul de Matematică şi Informatică al AŞM, 2017) Ungureanu, Valeriu
Dyadic two-person mixed strategy games form the case for which Nash equilibrium sets can be determined simply. In this paper the set of Nash equilibria in a particular game is determined as an intersection of graphs of optimal reaction mappingsof the first and the second players. In contrast to other games, it is obtained not only an algorithm, but a multi-valued Nash equilibrium set function that gives directly as its values the Nash equilibrium sets corresponding to the values of payoff matrix in- stances. To give an expedient form to such a function definition, it is used a code written in the Wolfram language. Additionally, it is also applied a Wolfram language code to prove the main theoretic result.
TAXONOMY OF STRATEGIC GAMES WITH INFORMATION LEAKS AND CORRUPTION OF SIMULTANEITY
(Academy of Sciences of Moldova, 2016) Ungureanu, Valeriu
We consider pseudo-simultaneous normal form games — strategic games with rules violated by information leaks and simultaneity corruption. We provide classification and construction of a game taxonomy based on applicable solution principles. Existence conditions are highlighted, formulated and analysed.