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cs.CC2026
Finding a Positive Index Nash Equilibrium is PPADS-Complete
Andreas Kontogiannis, Ioannis Panageas, Vasilis Pollatos +1
Every nondegenerate bimatrix game has a Nash equilibrium of Shapley index +1, since all equilibria are isolated, have index +1 or -1, and their indices sum to +1. We prove that the…
cs.CC2026
The Computational Complexity of Avoiding Strict Saddle Points in Constrained Optimization
Andreas Kontogiannis, Ioannis Panageas, Vasilis Pollatos
While first-order stationary points (FOSPs) are the traditional targets of non-convex optimization, they often correspond to undesirable strict saddle points. To circumvent this, a…