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Data markets are emerging as key mechanisms for trading personal and organizational data. Traditional data pricing studies -- such as query-based or arbitrage-free pricing models -- mainly emphasize price consistency and profit maximization…

Computer Science and Game Theory · Computer Science 2025-12-23 Lijun Bo , Weiqiang Chang

Large language models (LLMs) exhibit impressive capabilities across a wide range of tasks, yet the choice of which model to use often involves a trade-off between performance and cost. More powerful models, though effective, come with…

Machine Learning · Computer Science 2025-02-25 Isaac Ong , Amjad Almahairi , Vincent Wu , Wei-Lin Chiang , Tianhao Wu , Joseph E. Gonzalez , M Waleed Kadous , Ion Stoica

Large Language Models (LLMs) have shown promise in structured prediction tasks, including regression, but existing approaches primarily focus on point estimates and lack systematic comparison across different methods. We investigate…

Computation and Language · Computer Science 2025-06-10 Nikhita Vedula , Dushyanta Dhyani , Laleh Jalali , Boris Oreshkin , Mohsen Bayati , Shervin Malmasi

Large language model (LLM) routing has emerged as a crucial strategy for balancing computational costs with performance by dynamically assigning queries to the most appropriate model based on query complexity. Despite recent advances…

Computation and Language · Computer Science 2025-04-11 Aly M. Kassem , Bernhard Schölkopf , Zhijing Jin

Large language models (LLMs) have surged in popularity and are extensively used in commercial applications, where the efficiency of model serving is crucial for the user experience. Most current research focuses on optimizing individual…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-12 Yuhang Yao , Han Jin , Alay Dilipbhai Shah , Shanshan Han , Zijian Hu , Yide Ran , Dimitris Stripelis , Zhaozhuo Xu , Salman Avestimehr , Chaoyang He

We develop a framework for the optimal pricing and product design of LLMs in which a provider sells menus of token budgets to users who differ in their valuations across a continuum of tasks. Under a homogeneous production technology, we…

Theoretical Economics · Economics 2026-03-10 Dirk Bergemann , Alessandro Bonatti , Alex Smolin

This paper focuses on multi-stage coordination for a population of thermostatically controlled loads (TCL). Each load maximizes the individual utility in response to an energy price, while the coordinator determines the price to maximize…

Optimization and Control · Mathematics 2016-08-09 Sen Li , Wei Zhang , Jianming Lian , Karanjit Kalsi

This paper studies the dynamic pricing mechanism for data products in demand-driven markets through a game-theoretic framework. We develop a three-tier Stackelberg game model to capture the hierarchical strategic interactions among key…

Optimization and Control · Mathematics 2025-12-29 Lijun Bo , Dongfang Yang , Shihua Wang

Demand-side management (DSM) enables distribution system operators (DSOs) to steer electricity consumption through dynamic price signals or incentive mechanisms, thereby leveraging end-users' flexibility potential for delivering grid…

Optimization and Control · Mathematics 2026-05-04 Silvia Cianchi , Reza Rahimi Baghbadorani , Anibal Sanjab , Sergio Grammatico

This paper considers a multi-user single-relay wireless network, where the relay gets paid for helping the users forward signals, and the users pay to receive the relay service. We study the relay power allocation and pricing problems, and…

Information Theory · Computer Science 2012-01-17 Qian Cao , H. Vicky Zhao , Yindi Jing

We investigate the impacts of spatial pricing for ride-sourcing services in a Stackelberg framework considering traffic congestion. In the lower level, we use combined distribution and assignment approaches to explicitly capture the…

Optimization and Control · Mathematics 2020-06-02 Fatima Afifah , Zhaomiao Guo

Large Language Models (LLMs) have demonstrated remarkable capabilities, leading to a significant increase in user demand for LLM services. However, cloud-based LLM services often suffer from high latency, unstable responsiveness, and…

Networking and Internet Architecture · Computer Science 2025-08-04 Jin Yang , Qiong Wu , Zhiying Feng , Zhi Zhou , Deke Guo , Xu Chen

Existing methods usually leverage a fixed strategy, such as natural language reasoning, code-augmented reasoning, tool-integrated reasoning, or ensemble-based reasoning, to guide Large Language Models (LLMs) to perform mathematical…

Artificial Intelligence · Computer Science 2025-09-30 Shihao Qi , Jie Ma , Ziang Yin , Lingling Zhang , Jian Zhang , Jun Liu , Feng Tian , Tongliang Liu

Accurate estimation of project costs and durations remains a pivotal challenge in software engineering, directly impacting budgeting and resource management. Traditional estimation techniques, although widely utilized, often fall short due…

Software Engineering · Computer Science 2024-09-17 Justin Carpenter , Chia-Ying Wu , Nasir U. Eisty

In this work, we use a Stackelberg infinite discrete-time dynamic game model to study the optimal supply schedule and the optimal demand response under a market-driven dynamic price. A two-layer optimization framework is established. At the…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Yunhan Huang

Recently, there is growing interest and need for dynamic pricing algorithms, especially, in the field of online marketplaces by offering smart pricing options for big online stores. We present an approach to adjust prices based on the…

Optimization and Control · Mathematics 2021-01-13 David Müller , Yurii Nesterov , Vladimir Shikhman

As AI systems shift from directing users to content toward consuming it directly, publishers need a new revenue model: charging AI crawlers for content access. This model, called pay-per-crawl, must solve a problem of mechanism selection at…

General Economics · Economics 2026-04-03 Richard Archer , Soheil Ghili , Nima Haghpanah

A natural optimization model that formulates many online resource allocation and revenue management problems is the online linear program (LP) in which the constraint matrix is revealed column by column along with the corresponding…

Data Structures and Algorithms · Computer Science 2014-04-10 Shipra Agrawal , Zizhuo Wang , Yinyu Ye

This paper explores the application of a reinforcement learning (RL) framework using the Q-Learning algorithm to enhance dynamic pricing strategies in the retail sector. Unlike traditional pricing methods, which often rely on static demand…

Machine Learning · Computer Science 2024-11-28 Mohit Apte , Ketan Kale , Pranav Datar , Pratiksha Deshmukh

Process Reward Models (PRMs) have emerged as a powerful tool for providing step-level feedback when evaluating the reasoning of Large Language Models (LLMs), which frequently produce chains of thought (CoTs) containing errors even when the…

Computation and Language · Computer Science 2026-04-21 Raffaele Pisano , Roberto Navigli