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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

Inspired by Internet ad auction applications, we study the problem of allocating a single item via an auction when bidders place very different values on the item. We formulate this as the problem of prior-free auction and focus on…

Computer Science and Game Theory · Computer Science 2009-09-30 Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

Consider a seller with m heterogeneous items for sale to a single additive buyer whose values for the items are arbitrarily correlated. It was previously shown that, in such settings, distributions exist for which the seller's optimal…

Computer Science and Game Theory · Computer Science 2018-12-03 Christos-Alexandros Psomas , Ariel Schvartzman , S. Matthew Weinberg

Digital advertising constitutes one of the main revenue sources for online platforms. In recent years, some advertisers tend to adopt auto-bidding tools to facilitate advertising performance optimization, making the classical \emph{utility…

Computer Science and Game Theory · Computer Science 2022-12-01 Hongtao Lv , Zhilin Zhang , Zhenzhe Zheng , Jinghan Liu , Chuan Yu , Lei Liu , Lizhen Cui , Fan Wu

Auto-bidding has recently become a popular feature in ad auctions. This feature enables advertisers to simply provide high-level constraints and goals to an automated agent, which optimizes their auction bids on their behalf. In this paper,…

Theoretical Economics · Economics 2024-05-15 Yeganeh Alimohammadi , Aranyak Mehta , Andres Perlroth

In online revenue systems, e.g. an advertising system, budget pacing plays a critical role in ensuring that the spend aligns with desired financial objectives. Pacing systems dynamically control the velocity of spending to balance auction…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Yichuan Niu , Jianhui Chen

The increasing competition in digital advertising induced a proliferation of media agencies playing the role of intermediaries between advertisers and platforms selling ad slots. When a group of competing advertisers is managed by a common…

Computer Science and Game Theory · Computer Science 2022-05-02 Giulia Romano , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Posted price mechanisms are prevalent in allocating goods within online marketplaces due to their simplicity and practical efficiency. We explore a fundamental scenario where buyers' valuations are independent and identically distributed,…

Computer Science and Game Theory · Computer Science 2025-05-26 José Correa , Vasilis Livanos , Dana Pizarro , Victor Verdugo

We consider the problem of designing auctions which maximize consumer surplus (i.e., the social welfare minus the payments charged to the buyers). In the consumer surplus maximization problem, a seller with a set of goods faces a set of…

Computer Science and Game Theory · Computer Science 2025-03-18 Tomer Ezra , Daniel Schoepflin , Ariel Shaulker

We study the mechanism design problem of selling $k$ items to unit-demand buyers with private valuations for the items. A buyer either participates directly in the auction or is represented by an intermediary, who represents a subset of…

Computer Science and Game Theory · Computer Science 2021-11-23 Gagan Aggarwal , Kshipra Bhawalkar , Guru Guruganesh , Andres Perlroth

In quasi-proportional auctions, each bidder receives a fraction of the allocation equal to the weight of their bid divided by the sum of weights of all bids, where each bid's weight is determined by a weight function. We study the…

Computer Science and Game Theory · Computer Science 2015-07-28 Zheng Wen , Eric Bax , James Li

All-pay auctions, a common mechanism for various human and agent interactions, suffers, like many other mechanisms, from the possibility of players' failure to participate in the auction. We model such failures, and fully characterize…

Computer Science and Game Theory · Computer Science 2017-02-15 Yoad Lewenberg , Omer Lev , Yoram Bachrach , Jeffrey S. Rosenschein

Online auction scenarios, such as bidding searches on advertising platforms, often require bidders to participate repeatedly in auctions for identical or similar items. Most previous studies have only considered the process by which the…

Computer Science and Game Theory · Computer Science 2024-02-28 Yudong Hu , Congying Han , Tiande Guo , Hao Xiao

This study explores the design of an efficient rebate policy in auction markets, focusing on a continuous-time setting with competition among market participants. In this model, a stock exchange collects transaction fees from auction…

Trading and Market Microstructure · Quantitative Finance 2025-01-23 Thibaut Mastrolia , Tianrui Xu

We show that, by using multiplicative weights in a game-theoretic thought experiment (and an important convexity result on the composition of multiplicative weights with the relative entropy function), a symmetric bimatrix game (that is, a…

Computer Science and Game Theory · Computer Science 2025-04-24 Ioannis Avramopoulos

This paper evaluates market equilibrium under different pricing mechanisms in a two-settlement 100%-renewables electricity market. Given general probability distributions of renewable energy, we establish game-theoretical models to analyze…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Dongwei Zhao , Audun Botterud , Marija Ilic

We consider a bipartite network of buyers and sellers, where the sellers run locally independent Progressive Second-Price (PSP) auctions, and buyers may participate in multiple auctions, forming a multi-auction market with perfect…

Computer Science and Game Theory · Computer Science 2026-01-23 Jordana Blazek , Frederick C. Harris

We study the pay-as-bid auction game, a supply function model with discriminatory pricing and asymmetric firms. In this game, strategies are non-decreasing supply functions relating pric to quantity and the exact choice of the strategy…

Optimization and Control · Mathematics 2025-04-23 Martina Vanelli , Giacomo Como , Fabio Fagnani

In this paper we formulate the fixed budget resource allocation game to understand the performance of a distributed market-based resource allocation system. Multiple users decide how to distribute their budget (bids) among multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Michal Feldman , Kevin Lai , Li Zhang

The use of dynamic pricing by profit-maximizing firms gives rise to demand fairness concerns, measured by discrepancies in consumer groups' demand responses to a given pricing strategy. Notably, dynamic pricing may result in buyer…

Machine Learning · Computer Science 2024-04-24 Jesse Thibodeau , Hadi Nekoei , Afaf Taïk , Janarthanan Rajendran , Golnoosh Farnadi