<p>This paper investigates the Pareto-Nash equilibria for multicriteria normal games and multicriteria networked evolutionary games (MCNEGs) using the semi-tensor product of matrices. Firstly, an easy-to-verify matrix criterion is provided to calculate the Pareto-Nash equilibria of multicriteria normal games. Secondly, an algorithm is established to convert the dynamics of an MCNEG into an algebraic form. Thirdly, based on the algebraic form, a necessary and sufficient condition is presented to verify whether a profile is a Pareto-Nash equilibrium, and the asymptotic stability of an MCNEG to the Pareto-Nash equilibrium set is studied. Finally, an illustrative example is given to demonstrate the correctness of the new results.</p>