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Many network resource allocation problems can be viewed as allocating a divisible resource, where the allocations are constrained to lie in a polymatroid. We consider market-based mechanisms for such problems. Though the…

Computer Science and Game Theory · Computer Science 2019-04-29 Hao Ge , Randall Berry

The enduring value of the Vickrey-Clarke-Groves (VCG) mechanism has been highlighted due to its adoption by Facebook ad auctions. Our research delves into its utility in the collaborative virtual goods production (CVGP) game, which finds…

Computer Science and Game Theory · Computer Science 2024-06-18 Mingshu Cong , Han Yu , Xi Weng , Jiabao Qu , Yang Liu , Siu Ming Yiu

Motivated by the problem of market power in electricity markets, we introduced in previous works a mechanism for simplified markets of two agents with linear cost. In standard procurement auctions, the market power resulting from the…

Theoretical Economics · Economics 2019-07-25 Benjamin Heymann , Alejandro Jofré

Without monetary payments, the Gibbard-Satterthwaite theorem proves that under mild requirements all truthful social choice mechanisms must be dictatorships. When payments are allowed, the Vickrey-Clarke-Groves (VCG) mechanism implements…

Computer Science and Game Theory · Computer Science 2018-04-27 Hongyao Ma , Reshef Meir , David C. Parkes

This paper defines weak-$\alpha$-supermodularity for set functions. Many optimization objectives in machine learning and data mining seek to minimize such functions under cardinality constrains. We prove that such problems benefit from a…

Data Structures and Algorithms · Computer Science 2015-02-24 Christos Boutsidis , Edo Liberty , Maxim Sviridenko

We propose and analyze batch greedy heuristics for cardinality constrained maximization of non-submodular non-decreasing set functions. We consider the standard greedy paradigm, along with its distributed greedy and stochastic greedy…

Optimization and Control · Mathematics 2021-08-12 Jayanth Jagalur-Mohan , Youssef Marzouk

We consider manipulations in the context of coalitional games, where a coalition aims to increase the total payoff of its members. An allocation rule is immune to coalitional manipulation if no coalition can benefit from internal…

Theoretical Economics · Economics 2023-11-01 Christian Basteck , Frank Huettner

While the classic Vickrey-Clarke-Groves mechanism ensures incentive compatibility for a static one-shot game, it does not appear to be feasible to construct a dominant truth-telling mechanism for agents that are stochastic dynamic systems.…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ke Ma , P. R. Kumar

Combinatorial auctions (CA) are a well-studied area in algorithmic mechanism design. However, contrary to the standard model, empirical studies suggest that a bidder's valuation often does not depend solely on the goods assigned to him. For…

Computer Science and Game Theory · Computer Science 2015-10-01 Yun Kuen Cheung , Monika Henzinger , Martin Hoefer , Martin Starnberger

We quantify the value of the monopoly's bargaining power in terms of competition complexity--that is, the number of additional bidders the monopoly must attract in simple auctions to match the expected revenue of the optimal mechanisms…

Computer Science and Game Theory · Computer Science 2025-06-12 Hedyeh Beyhaghi , Linda Cai , Yiding Feng , Yingkai Li , S. Matthew Weinberg

Submodular functions are a broad class of set functions, which naturally arise in diverse areas. Many algorithms have been suggested for the maximization of these functions. Unfortunately, once the function deviates from submodularity, the…

Discrete Mathematics · Computer Science 2017-07-17 Lin Chen , Moran Feldman , Amin Karbasi

We study the design of efficient mechanisms under asymmetric awareness and information. Unawareness refers to the lack of conception rather than the lack of information. Assuming quasi-linear utilities and private values, we show that we…

Theoretical Economics · Economics 2025-04-08 Kym Pram , Burkhard C. Schipper

Motivated by a wide range of applications in data mining and machine learning, we consider the problem of maximizing a submodular function subject to supermodular cost constraints. In contrast to the well-understood setting of cardinality…

Data Structures and Algorithms · Computer Science 2026-02-19 Ajitesh Srivastava , Shanghua Teng

We consider the problem of online dynamic mechanism design for sequential auctions in unknown environments, where the underlying market and, thus, the bidders' values vary over time as interactions between the seller and the bidders…

Computer Science and Game Theory · Computer Science 2025-10-27 Vincent Leon , S. Rasoul Etesami

This paper considers a demand-side aggregation scheme specifically for large numbers of small loads, such as households and small and medium-sized businesses. We introduce a novel auction format, called a staggered clock-proxy auction…

Systems and Control · Computer Science 2016-02-29 Archie C. Chapman , Gregor Verbic

In sponsored search, a number of advertising slots is available on a search results page, and have to be allocated among a set of advertisers competing to display an ad on the page. This gives rise to a bipartite matching market that is…

Computer Science and Game Theory · Computer Science 2008-07-09 Gagan Aggarwal , S. Muthukrishnan , David Pal , Martin Pal

The European power grid can be divided into several market areas where the price of electricity is determined in a day-ahead auction. Market participants can provide continuous hourly bid curves and combinatorial bids with associated…

Optimization and Control · Mathematics 2015-03-02 Alexander Martin , Johannes C. Müller , Sebastian Pokutta

Submodular continuous functions are a category of (generally) non-convex/non-concave functions with a wide spectrum of applications. We characterize these functions and demonstrate that they can be maximized efficiently with approximation…

Machine Learning · Computer Science 2019-05-07 Andrew An Bian , Baharan Mirzasoleiman , Joachim M. Buhmann , Andreas Krause

Submodularity in combinatorial optimization has been a topic of many studies and various algorithmic techniques exploiting submodularity of a studied problem have been proposed. It is therefore natural to ask, in cases where the cost…

Data Structures and Algorithms · Computer Science 2023-05-19 Martin Böhm , Jarosław Byrka , Mateusz Lewandowski , Jan Marcinkowski

With the growth of networks, promoting products through social networks has become an important problem. For auctions in social networks, items are needed to be sold to agents in a network, where each agent can bid and also diffuse the sale…

Computer Science and Game Theory · Computer Science 2023-08-03 Mingyu Xiao , Guixin Lin , Bakh Khoussainov , Yuchao Song