Research map / Learning theory and algorithms / Submodular and game algorithms
Multiplicative Weights Update with Constant Step-Size in Congestion Games: Convergence, Limit Cycles and Chaos
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use linear MWU with arbitrary admissible constant learning rates | Congestion games · General congestion games | convergence to exact Nash equilibrium | Helped |
| Use linear rather than exponential MWU | Two-agent, two-strategy load balancing with equal edge costs · Equal-cost load balancing game | convergence behavior | Helped |
| Use exponential rather than linear MWU with ε=1-e^{-10} | Two-agent, two-strategy load balancing with equal edge costs · Equal-cost load balancing game | convergence behavior | Hurt |
| Use linear rather than exponential MWU | Two-agent, two-strategy load balancing with unequal edge costs · Unequal-cost load balancing game | convergence behavior | Helped |
| Use exponential MWU with ε=1-e^{-40} | Two-agent, two-strategy load balancing with unequal edge costs · Unequal-cost load balancing game | convergence behavior | Hurt |
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