Research map / Learning theory and algorithms / Submodular and game algorithms
The Equivalence of Dynamic and Strategic Stability under Regularized Learning in Games
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use regularized learning with a steep regularizer | Finite N-player games · Finite N-player games | stochastic asymptotic stability | Mixed |
| Use regularized learning with a steep regularizer | Finite N-player games · Finite N-player games | irreducible stability | Mixed |
| Use projection-based updates with a quadratic regularizer | Regularized learning · Closed sets | iterations to convergence: finite | Helped |
| Use entropic regularization and logit choice | Regularized learning · Closed sets | convergence rate: exp(-const sum_{runalt=1}^{run} iter[step]) | Helped |
| Use fractional power regularization | Regularized learning · Closed sets | convergence rate: 1/(const + sum_{runalt=start}^{run} iter[step])^{2} | Helped |
| Run regularized learning with step-size/gain parameters satisfying the stated conditions | Regularized learning · Any finite game | resilience to strategic deviations: with probability 1 | Helped |
| Rely on no-regret play alone | Players' long-run behavior · The 4x4 symmetric 2-player example | rationalizability: -1/6 | Hurt |
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