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Pricing financial or real options with arbitrary payoffs in regime-switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in…

Mathematical Finance · Quantitative Finance 2018-09-11 Masahiko Egami , Rusudan Kevkhishvili

Myerson's seminal work provides a computationally efficient revenue-optimal auction for selling one item to multiple bidders. Generalizing this work to selling multiple items at once has been a central question in economics and algorithmic…

Computer Science and Game Theory · Computer Science 2013-04-02 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

In the envy-free perfect matching problem, $n$ items with unit supply are available to be sold to $n$ buyers with unit demand. The objective is to find allocation and prices such that both seller's revenue and buyers' surpluses are…

Computer Science and Game Theory · Computer Science 2023-08-25 Marcos Salvatierra

We study the power of price discrimination via an intermediary in bilateral trade, when there is a revenue-maximizing seller selling an item to a buyer with a private value drawn from a prior. Between the seller and the buyer, there is an…

Computer Science and Game Theory · Computer Science 2023-04-28 Shao-Heng Ko , Kamesh Munagala

Maximizing the revenue from selling _more than one_ good (or item) to a single buyer is a notoriously difficult problem, in stark contrast to the one-good case. For two goods, we show that simple "one-dimensional" mechanisms, such as…

Computer Science and Game Theory · Computer Science 2022-09-22 Sergiu Hart , Noam Nisan

The problem of optimal switching between nonlinear autonomous subsystems is investigated in this study where the objective is not only bringing the states to close to the desired point, but also adjusting the switching pattern, in the sense…

Systems and Control · Computer Science 2014-11-19 Ali Heydari

We consider a repeated auction where the buyer's utility for an item depends on the time that elapsed since his last purchase. We present an algorithm to build the optimal bidding policy, and then, because optimal might be impractical, we…

Theoretical Economics · Economics 2023-08-04 Benjamin Heymann , Alexandre Gilotte , Rémi Chan-Renous

We study revenue maximization in multi-item multi-bidder auctions under the natural item-independence assumption - a classical problem in Multi-Dimensional Bayesian Mechanism Design. One of the biggest challenges in this area is developing…

Computer Science and Game Theory · Computer Science 2022-04-12 Yang Cai , Argyris Oikonomou , Mingfei Zhao

In this paper, we introduce a novel approach for reducing the $k$-item $n$-bidder auction with additive valuation to $k$-item $1$-bidder auctions. This approach, called the \emph{Best-Guess} reduction, can be applied to address several…

Computer Science and Game Theory · Computer Science 2014-06-24 Andrew Chi-Chih Yao

We consider the design of a revenue-optimal mechanism when two items are available to be sold to a single buyer whose valuation is uniformly distributed over an arbitrary rectangle $[c_1,c_1+b_1]\times[c_2,c_2+b_2]$ in the positive…

Computer Science and Game Theory · Computer Science 2019-03-06 D. Thirumulanathan , Rajesh Sundaresan , Y Narahari

We present a method for finding envy-free prices in a combinatorial auction where the consumers' number $n$ coincides with that of distinct items for sale, each consumer can buy one single item and each item has only one unit available.…

Computer Science and Game Theory · Computer Science 2023-08-25 Marcos Salvatierra , Juan G. Colonna , Mario Salvatierra , Alcides de C. Amorim Neto

This study presents a Bayesian Optimization framework for area- and distance-based time-of-day pricing (TODP) for urban networks. The road pricing optimization problem can reach high level of complexity depending on the pricing scheme…

Multiagent Systems · Computer Science 2020-12-22 Renming Liu , Yu Jiang , Carlos Lima Azevedo

This paper studies the static economic optimization problem of a system with a single aggregator and multiple prosumers in a Real-Time Balancing Market (RTBM). The aggregator, as the agent responsible for portfolio balancing, needs to…

Optimization and Control · Mathematics 2023-04-28 Koorosh Shomalzadeh , Jacquelien M. A. Scherpen , M. Kanat Camlibel

In this paper, we introduce a family of sequential decision-making problems, collectively termed the Keychain Problem, that involve exploring a set of actions to maximize expected payoff when only a subset of actions are available in each…

Computer Science and Game Theory · Computer Science 2026-02-13 Ramiro N. Deo-Campo Vuong , Robert Kleinberg , Aditya Prasad , Eric Xiao , Haifeng Xu

When selling information products, the seller can provide some free partial information to change people's valuations so that the overall revenue can possibly be increased. We study the general problem of advertising information products by…

Computer Science and Game Theory · Computer Science 2021-09-24 Shuran Zheng , Yiling Chen

We examine two-sided markets where players arrive stochastically over time and are drawn from a continuum of types. The cost of matching a client and provider varies, so a social planner is faced with two contending objectives: a) to reduce…

Computer Science and Game Theory · Computer Science 2020-01-06 Panayotis Mertikopoulos , Heinrich H. Nax , Bary S. R. Pradelski

Traditional pricing paradigms, once dominated by static models and rule-based heuristics, are increasingly being replaced by dynamic, data-driven approaches powered by machine learning algorithms. Despite their growing sophistication, most…

Machine Learning · Computer Science 2025-12-01 Marco Mussi , Marcello Restelli

We study the problem of selling $n$ items to a single buyer with an additive valuation function. We consider the valuation of the items to be correlated, i.e., desirabilities of the buyer for the items are not drawn independently. Ideally,…

Computer Science and Game Theory · Computer Science 2015-07-23 MohammadHossein Bateni , Sina Dehghani , MohammadTaghi Hajiaghayi , Saeed Seddighin

Internet advertisers (buyers) repeatedly procure ad impressions from ad platforms (sellers) with the aim to maximize total conversion (i.e. ad value) while respecting both budget and return-on-investment (ROI) constraints for efficient…

Computer Science and Game Theory · Computer Science 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang , Vahab Mirrokni

In order for an e-commerce platform to maximize its revenue, it must recommend customers items they are most likely to purchase. However, the company often has business constraints on these items, such as the number of each item in stock.…

Optimization and Control · Mathematics 2019-11-19 Andrea Boskovic , Qinyi Chen , Dominik Kufel , Zijie Zhou