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We address the challenging problem of dynamically pricing complementary items that are sequentially displayed to customers. An illustrative example is the online sale of flight tickets, where customers navigate through multiple web pages.…

We consider Markov decision processes (MDPs) with multiple limit-average (or mean-payoff) objectives. There exist two different views: (i) the expectation semantics, where the goal is to optimize the expected mean-payoff objective, and (ii)…

Logic in Computer Science · Computer Science 2019-03-14 Krishnendu Chatterjee , Zuzana Křetínská , Jan Křetínský

We study the problem of learning a linear model to set the reserve price in an auction, given contextual information, in order to maximize expected revenue from the seller side. First, we show that it is not possible to solve this problem…

Optimization and Control · Mathematics 2020-11-17 Joey Huchette , Haihao Lu , Hossein Esfandiari , Vahab Mirrokni

We present a number of models for the adword auctions used for pricing advertising slots on search engines such as Google, Yahoo! etc. We begin with a general problem formulation which allows the privately known valuation per click to be a…

Computer Science and Game Theory · Computer Science 2007-05-23 Garud Iyengar , Anuj Kumar

We study online learning problems in which a decision maker has to make a sequence of costly decisions, with the goal of maximizing their expected reward while adhering to budget and return-on-investment (ROI) constraints. Existing…

Computer Science and Game Theory · Computer Science 2024-03-05 Matteo Castiglioni , Andrea Celli , Christian Kroer

In recent years, RTB(Real Time Bidding) becomes a popular online advertisement trading method. During the auction, each DSP(Demand Side Platform) is supposed to evaluate current opportunity and respond with an ad and corresponding bid…

Machine Learning · Statistics 2017-12-29 Huahui Liu , Mingrui Zhu , Xiaonan Meng , Yi Hu , Hao Wang

We derive a concentration bound for a Q-learning algorithm for average cost Markov decision processes based on an equivalent shortest path problem, and compare it numerically with the alternative scheme based on relative value iteration.

Machine Learning · Computer Science 2022-06-14 Shaan Ul Haque , Vivek Borkar

Internet advertising is a sophisticated game in which the many advertisers "play" to optimize their return on investment. There are many "targets" for the advertisements, and each "target" has a collection of games with a potentially…

Computational Complexity · Computer Science 2015-03-13 Bhaskar DasGupta , S. Muthukrishnan

We consider the problem of constrained Markov Decision Process (CMDP) where an agent interacts with a unichain Markov Decision Process. At every interaction, the agent obtains a reward. Further, there are $K$ cost functions. The agent aims…

Machine Learning · Computer Science 2022-06-22 Mridul Agarwal , Qinbo Bai , Vaneet Aggarwal

Partially-observable Markov decision processes (POMDPs) with discounted-sum payoff are a standard framework to model a wide range of problems related to decision making under uncertainty. Traditionally, the goal has been to obtain policies…

Artificial Intelligence · Computer Science 2018-05-01 Krishnendu Chatterjee , Adrián Elgyütt , Petr Novotný , Owen Rouillé

Algorithms increasingly automate bidding in online auctions, raising concerns about tacit bid suppression and revenue shortfalls. Prior work identifies individual mechanisms behind algorithmic bid suppression, but it remains unclear which…

General Economics · Economics 2026-03-24 Pranjal Rawat

In this paper, we propose a novel censoring policy for energy-efficient transmissions in energy-harvesting sensors. The problem is formulated as an infinite-horizon Markov Decision Process (MDP). The objective to be optimized is the…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Jesus Fernandez-Bes , Jesus Cid-Sueiro , Antonio G. Marques

Sponsored product advertisements constitute a major revenue source for online marketplaces such as Amazon, Walmart, and Alibaba. A key operational challenge in these systems lies in the Sponsored Listings Ranking (SLR) problem, that is,…

General Economics · Economics 2025-11-13 Haihao Lu , Luyang Zhang , Yuting Zhu

We consider constrained sampling problems in paid research studies or clinical trials. When qualified volunteers are more than the budget allowed, we recommend a D-optimal sampling strategy based on the optimal design theory and develop a…

Methodology · Statistics 2024-05-27 Yifei Huang , Liping Tong , Jie Yang

We initiate the study of an interesting aspect of sponsored search advertising, namely the consequences of broad match-a feature where an ad of an advertiser can be mapped to a broader range of relevant queries, and not necessarily to the…

Computer Science and Game Theory · Computer Science 2008-07-21 Sudhir Kumar Singh , Vwani P. Roychowdhury

Despite intensive efforts devoted to tool learning, the problem of budget-constrained tool learning, which focuses on resolving user queries within a specific budget constraint, has been widely overlooked. This paper proposes a novel method…

Artificial Intelligence · Computer Science 2024-06-12 Yuanhang Zheng , Peng Li , Ming Yan , Ji Zhang , Fei Huang , Yang Liu

We consider the problem of a revenue-maximizing seller with m items for sale to n additive bidders with hard budget constraints, assuming that the seller has some prior distribution over bidder values and budgets. The prior may be…

Computer Science and Game Theory · Computer Science 2016-05-09 Constantinos Daskalakis , Nikhil R. Devanur , S. Matthew Weinberg

In sponsored search advertising (SSA), advertisers need to select keywords and determine matching types for selected keywords simultaneously, i.e., keyword targeting. An optimal keyword targeting strategy guarantees reaching the right…

Information Retrieval · Computer Science 2022-10-28 Huiran Li , Yanwu Yang

In online display advertising, guaranteed contracts and real-time bidding (RTB) are two major ways to sell impressions for a publisher. For large publishers, simultaneously selling impressions through both guaranteed contracts and in-house…

Computer Science and Game Theory · Computer Science 2022-03-15 Di Wu , Cheng Chen , Xiujun Chen , Junwei Pan , Xun Yang , Qing Tan , Jian Xu , Kuang-Chih Lee

This paper studies the problem of Anytime-Competitive Markov Decision Process (A-CMDP). Existing works on Constrained Markov Decision Processes (CMDPs) aim to optimize the expected reward while constraining the expected cost over random…

Machine Learning · Computer Science 2024-02-06 Jianyi Yang , Pengfei Li , Tongxin Li , Adam Wierman , Shaolei Ren