Research map / Bandits and online learning / Online convex optimization and games
Learning and Collusion in Multi-unit Auctions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Represent candidate bid vectors as paths in a weighted DAG | Offline bidding optimization · Offline repeated multi-unit auction | computation time: polynomial time | Helped |
| Use multiplicative weights over DAG paths with implicit edge-based weight pushing | Repeated K-th and (K+1)-st price auctions · Full information | regret: O(v_{i,1}\sqrt{TK^3\log T}) | Helped |
| Use an unbiased edge-weight estimator from the selected path | Repeated K-th and (K+1)-st price auctions · Bandit feedback | regret: O(v_{i,1} \cdot \min \{ \sqrt[4]{T^3K^7\log T}, KT\}) | Helped |
| Allow other players to choose the bid sequence adversarially | Any player strategy in either auction variant · Full information and bandit feedback | expected regret lower bound: at least c \cdot v_{i,1} K \sqrt{T} | Hurt |
| Use the (K+1)-st price rather than the K-th price | Uniform-price auction · (K+1)-st price auction, n > K hungry players | price in core-stable profiles without transfers: p(\vec{b}) = 0 | Hurt |
| Use the (K+1)-st price rather than the K-th price | Uniform-price auction · (K+1)-st price auction, n > K hungry players | price in core-stable profiles with transfers: p(\vec{b}) = 0 | Hurt |
| Use the K-th price rather than the (K+1)-st price | Uniform-price auction · K-th price auction | existence of arbitrarily low-price pure Nash equilibrium | Helped |
| Allow transfers among bidders | Core of the (K+1)-st price auction · n > K hungry players | social welfare of core-stable allocations | Helped |
Closest papers by meaning
- Comparing Uniform Price and Discriminatory Multi-Unit Auctions through Regret Minimization (NeurIPS 2025 · similarity 0.89)
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