# Optimizing Expected Utility in a Multinomial Logit Model with Position Bias and Social Influence

arXiv: https://arxiv.org/abs/1411.0279 · HTML: https://mlsanity.com/paper/1411.0279/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 2 Nov 2014.

## Built on by (most cited first, 3 of 3)

- [Product Ranking for Revenue Maximization with Multiple Purchases](https://mlsanity.com/paper/2210.08268/) (2022)
- [Combinatorial Bandits without Total Order for Arms](https://mlsanity.com/paper/2103.02741/) (2021)
- [Misalignment, Learning, and Ranking: Harnessing Users Limited Attention](https://mlsanity.com/paper/2402.14013/) (2024)

## Abstract (arXiv)

Motivated by applications in retail, online advertising, and cultural markets, this paper studies how to find the optimal assortment and positioning of products subject to a capacity constraint. We prove that the optimal assortment and positioning can be found in polynomial time for a multinomial logit model capturing utilities, position bias, and social influence. Moreover, in a dynamic market, we show that the policy that applies the optimal assortment and positioning and leverages social influence outperforms in expectation any policy not using social influence.