Smooth markets: A basic mechanism for organizing gradient-based learners
international conference on learning representations, 2020.
We show that Nash equilibria are stable; that if profits are strictly concave gradient ascent converges to a Nash equilibrium for all learning rates; and the dynamics are bounded under reasonable assumptions
With the success of modern machine learning, it is becoming increasingly important to understand and control how learning algorithms interact. Unfortunately, negative results from game theory show there is little hope of understanding or controlling general n-player games. We therefore introduce smooth markets (SM-games), a class of n-pla...More
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