Author

Han-Yu Li

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Preprint Sep 2026

Cardinality-Constrained Randomized Assortments with Balanced Market Share

Assortment optimization asks a seller which of $n$ products to display to each customer. Under the multinomial-logit (MNL) model, a revenue-maximizing policy may concentrate most purchases on only a few products. Balanced market share (BMS) limits this disparity by requiring every product to receive either zero aggrega...

Xiaotie Deng, Han-Yu Li, Cheng-Hua Liu · 0 citations

Preprint Sep 2026

Approximating Combinatorial Contracts with Arbitrary Costs

We study single-agent combinatorial contracts under linear payments. Under a reward share $\alpha\in[0,1]$, an agent chooses a subset $S$ of $n$ hidden actions, generating reward $f(S)$ at cost $c(S)$, to maximize $\alpha f(S)-c(S)$, while the principal receives $(1-\alpha)f(S)$. For nonnegative additive rewards and mo...

Xiaotie Deng, Han-Yu Li, Cheng-Hua Liu · 0 citations