For two-player quadratic games with social value orientation, the Nash equilibrium set is characterized by one-dimensional curves from eigenvalue problems, with ellipsoidal bounds when spectra are positive and explicit blow-up asymptotes when they are not.
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The Impact of Social Value Orientation on Nash Equilibria of Two Player Quadratic Games
For two-player quadratic games with social value orientation, the Nash equilibrium set is characterized by one-dimensional curves from eigenvalue problems, with ellipsoidal bounds when spectra are positive and explicit blow-up asymptotes when they are not.