Research map / Bandits and online learning / Multi-armed bandits
Bandits Meet Mechanism Design to Combat Clickbait in Online Recommendation
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Introduces the strategic click-bandit, where arms strategically choose click-through rates to maximize their own utility, and proposes the payment-free incentive-aware algorithm UCB-S that achieves sublinear regret under any Nash equilibrium.
Problem
Multi-armed bandit recommendation where items (arms) strategically choose click-through rates to attract allocations, so classical bandit algorithms suffer linear regret in the presence of clickbait.
Approach
Models arms as strategic agents choosing click-rates; designs UCB-S, an incentive-aware UCB variant that eliminates arms whose click-rate deviates from a utility-dependent target, so that equilibrium strategies are near-truthful and regret is sublinear under all Nash equilibria.
Key results
- UCB-S achieves sublinear strong strategic regret under any Nash equilibrium of the arms' strategic game, with dependence on T and K shown to be near-optimal.
- Proposition 4.1 shows incentive-unaware algorithms such as UCB suffer linear regret when arms strategize.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use incentive-aware UCB-S instead of an incentive-unaware algorithm | Strategic click-bandit · Strategic click-bandit | regret | Helped |
Surprising findings
- Incentive-unaware algorithms like standard UCB suffer linear regret because strategic arms inflate click-rates.
Limitations
- Regret bound scales with 1/s*(mu_i), which can be vacuous when optimal click-rate is near zero.
- Requires forcing arms to maintain click-rates, raising practical and ethical concerns.
- Nash equilibrium may not be unique and arms' convergence to equilibrium is not guaranteed.
Experimental setup
Metrics: strong strategic regret regret upper and lower bounds
Baselines: UCB incentive-unaware bandit algorithms
Builds on: UCB
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