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We consider sensor scheduling as the optimal observability problem for partially observable Markov decision processes (POMDP). This model fits to the cases where a Markov process is observed by a single sensor which needs to be dynamically…

Information Theory · Computer Science 2016-11-15 Mohammad Rezaeian

A diffusion auction refers to a selling process conducted over a social network, where each participant submits a bid and may invite other potential buyers to join the auction. Although various mechanisms have been proposed, none of them…

Computer Science and Game Theory · Computer Science 2026-05-19 Xinlun Zhang , Zhechen Li , Yongzhi Cao , Yu Huang , Hanpin Wang

We propose a new Markov Decision Process (MDP) model for ad auctions to capture the user response to the quality of ads, with the objective of maximizing the long-term discounted revenue. By incorporating user response, our model takes into…

Computer Science and Game Theory · Computer Science 2024-05-07 Yang Cai , Zhe Feng , Christopher Liaw , Aranyak Mehta , Grigoris Velegkas

In this study I proposed a filtering beliefs method for improving performance of Partially Observable Markov Decision Processes(POMDPs), which is a method wildly used in autonomous robot and many other domains concerning control policy. My…

Artificial Intelligence · Computer Science 2021-01-07 Oscar LiJen Hsu

This study presents a rigorous mathematical approach to the optimization of round and betting policies in Blackjack, using Markov Decision Processes (MDP) and Expected Utility Theory. The analysis considers a direct confrontation between a…

Optimization and Control · Mathematics 2025-05-05 Lucas Bordeu , Javier Castro

There is growing interest in the use of grid-level storage to smooth variations in supply that are likely to arise with increased use of wind and solar energy. Energy arbitrage, the process of buying, storing, and selling electricity to…

Optimization and Control · Mathematics 2015-09-01 Daniel R. Jiang , Warren B. Powell

We study the problem of learning revenue-optimal multi-bidder auctions from samples when the samples of bidders' valuations can be adversarially corrupted or drawn from distributions that are adversarially perturbed. First, we prove tight…

Computer Science and Game Theory · Computer Science 2021-07-14 Wenshuo Guo , Michael I. Jordan , Manolis Zampetakis

We derive optimal strategies for a bidding agent that participates in multiple, simultaneous second-price auctions with perfect substitutes. We prove that, if everyone else bids locally in a single auction, the global bidder should always…

Computer Science and Game Theory · Computer Science 2014-01-16 Enrico H. Gerding , Rajdeep Kumar Dash , Andrew Byde , Nicholas Robert Jennings

We consider the problem of optimal bidding for virtual trading in two-settlement electricity markets. A virtual trader aims to arbitrage on the differences between day-ahead and real-time market prices; both prices, however, are random and…

Computer Science and Game Theory · Computer Science 2018-08-02 Sevi Baltaoglu , Lang Tong , Qing Zhao

Auctions are key for maximizing sellers' revenue and ensuring truthful bidding among buyers. Recently, an approach known as differentiable economics based on machine learning (ML) has shown promise in learning powerful auction mechanisms…

Computer Science and Game Theory · Computer Science 2025-10-02 Roy Maor Lotan , Inbal Talgam-Cohen , Yaniv Romano

We model a procurement scenario in which two \textit{imperfect} bidders act simultaneously on behalf of a single buyer, a configuration common in display advertising and referred to as \textit{side-by-side bidding} but largely unexplored in…

Computer Science and Game Theory · Computer Science 2025-12-05 Benjamin Heymann

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

Optimization and Control · Mathematics 2022-07-21 Dimitri Bertsekas

We study a class of iterative combinatorial auctions which can be viewed as subgradient descent methods for the problem of pricing bundles to balance supply and demand. We provide concrete convergence rates for auctions in this class,…

Computer Science and Game Theory · Computer Science 2016-06-01 Jacob Abernethy , Sébastien Lahaie , Matus Telgarsky

We consider a periodic double auction (PDA) setting where buyers of the auction have multiple (but finite) opportunities to procure multiple but fixed units of a commodity. The goal of each buyer participating in such auctions is to reduce…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Bharat Manvi , Easwar Subramanian

Power producers use a wide range of decision support systems to manage and plan for sales in the day-ahead electricity market, and they are often faced with the challenge of choosing the most advantageous bidding strategy for any given day.…

Optimization and Control · Mathematics 2020-02-11 Hans Ole Riddervold , Signe Riemer-Sørensen , Peter Szederjesi , Magnus Korpås

In this paper, we deal with the uncertainty of bidding for display advertising. Similar to the financial market trading, real-time bidding (RTB) based display advertising employs an auction mechanism to automate the impression level media…

Computer Science and Game Theory · Computer Science 2017-01-23 Haifeng Zhang , Weinan Zhang , Yifei Rong , Kan Ren , Wenxin Li , Jun Wang

A seller wants to sell a good to a set of bidders using a credible mechanism. We show that when the seller has private information about her cost, it is impossible for a static mechanism to achieve the optimal revenue. In particular, even…

Theoretical Economics · Economics 2025-09-29 Martino Banchio , Andrzej Skrzypacz , Frank Yang

We study a market for private data in which a data analyst publicly releases a statistic over a database of private information. Individuals that own the data incur a cost for their loss of privacy proportional to the differential privacy…

Computer Science and Game Theory · Computer Science 2012-10-01 Pranav Dandekar , Nadia Fawaz , Stratis Ioannidis

We consider the problem of designing a revenue-maximizing auction for a single item, when the values of the bidders are drawn from a correlated distribution. We observe that there exists an algorithm that finds the optimal randomized…

Computer Science and Game Theory · Computer Science 2015-03-17 Shahar Dobzinski , Hu Fu , Robert Kleinberg

We consider the problem of minimizing a certainty equivalent of the total or discounted cost over a finite and an infinite time horizon which is generated by a Partially Observable Markov Decision Process (POMDP). The certainty equivalent…

Probability · Mathematics 2021-07-21 Nicole Bäuerle , Ulrich Rieder
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