Causal-Aware Foundation-Model for Bilevel Optimization in Discrete Choice Settings

AI in healthcare
Published: arXiv: 2605.06941v1
Authors

Shivaram Subramanian Zhengliang Xue Markus Ettl Yingdong Lu Jayant Kalagnanam

Abstract

We introduce a causal aware foundation-model framework for real time optimal decision making in discrete choice environments. We propose a constrained triple-head price optimization (C3PO) network to solve a bilevel decision problem in which a service provider selects an optimal assortment while heterogeneous users make personalized acceptance or rejection choices optimizing their own personalized preferences. C3PO integrates imitation learning of prices, multi-task learning of revenue responses, and in context learning of price elasticity to generate pricing recommendations while adhering to business constraints. During inference, frontier model prompting retrieves an enhanced elasticity prior for new products from behavioral economics literature, improving pricing effectiveness. We demonstrate strong in context learning performance using simulated, synthetic, and real-world datasets. C3PO is trained on simulated data generated from multiple classical discrete choice models in economics. The model is trained on data comprising simulated customer segments and counterfactual action and outcome pairs and evaluated on randomly generated choice environments with no access to the underlying preference structure. The trained model consistently improves the pricing KPIs, with gains increasing as customer price sensitivity increases. We also deploy the tuned foundation model for optimal pricing in real-world applications such as healthcare, tender pricing, airline ancillary pricing, and other domains, achieving substantial gains across multiple products, markets, and divisions.

Paper Summary

Problem
The main problem this paper addresses is the challenge of making optimal decisions in complex, discrete-choice environments. These environments involve customers selecting from a finite set of products or services, while service providers aim to optimize their offerings to maximize revenue or profit. The traditional approach to decision-making in these environments relies on domain-specific models, which can be inflexible and unable to capture the complexities of human behavior.
Key Innovation
The paper introduces a new, causal-aware foundation model for decision-making (FMDM) that can adapt to diverse tasks and general decision strategies. This model is built on transformer architectures and is designed to overcome the limitations of traditional modeling approaches. The key innovation is a constrained triple-head price optimization (C3PO) network that integrates three distinct learning paradigms: imitation learning, multi-task learning, and in-context learning.
Practical Impact
This research has significant practical implications for various industries, including healthcare, tender-pricing, airline ancillary pricing, and retail. By providing a scalable and domain-adaptive pricing policy, C3PO can help service providers optimize their offerings to maximize revenue or profit. The model's ability to incorporate economically grounded priors for unseen products without retraining makes it a valuable tool for real-world decision-making.
Analogy / Intuitive Explanation
Imagine you're a restaurant owner trying to decide which dishes to offer on your menu. You want to maximize revenue, but you also need to consider the preferences of your customers, who may have different tastes and budgets. The C3PO model is like a sophisticated chef who can analyze the preferences of your customers, adjust the prices of your dishes, and even incorporate expert knowledge from behavioral economics to make informed decisions. By using this model, you can create a menu that appeals to a wider range of customers and maximizes your revenue.
Paper Information
Categories:
cs.LG math.OC
Published Date:

arXiv ID:

2605.06941v1

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