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Certifying Concavity and Monotonicity in Games via Sum-of-Squares Hierarchies
Vincent Leon, Iosif Sakos, Ryann Sim +1
Concavity and its refinements underpin tractability in multiplayer games, where players independently choose actions to maximize their own payoffs which depend on other players' ac…
Exploiting hidden structures in non-convex games for convergence to Nash equilibrium
Iosif Sakos, Emmanouil-Vasileios Vlatakis-Gkaragkounis, Panayotis Mertikopoulos +1
A wide array of modern machine learning applications - from adversarial models to multi-agent reinforcement learning - can be formulated as non-cooperative games whose Nash equilib…
Data-Scarce Identification of Game Dynamics via Sum-of-Squares Optimization
Iosif Sakos, Antonios Varvitsiotis, Georgios Piliouras
Understanding how players adjust their strategies in games, based on their experience, is a crucial tool for policymakers. It enables them to forecast the system's eventual behavio…
Catastrophe by Design in Population Games: Destabilizing Wasteful Locked-in Technologies
Stefanos Leonardos, Iosif Sakos, Costas Courcoubetis +1
In multi-agent environments in which coordination is desirable, the history of play often causes lock-in at sub-optimal outcomes. Notoriously, technologies with a significant envir…