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Efficient and fair spectrum allocation is a central challenge in 6G networks, where massive connectivity and heterogeneous services continuously compete for limited radio resources. We investigate the use of Large Language Models (LLMs) as…

Computer Science and Game Theory · Computer Science 2026-04-28 Ismail Lotfi , Ali Ghrayeb

We consider the classical linear assignment problem, and we introduce new auction algorithms for its optimal and suboptimal solution. The algorithms are founded on duality theory, and are related to ideas of competitive bidding by persons…

Computer Science and Game Theory · Computer Science 2023-10-24 Dimitri Bertsekas

We provide a reduction from revenue maximization to welfare maximization in multi-dimensional Bayesian auctions with arbitrary (possibly combinatorial) feasibility constraints and independent bidders with arbitrary (possibly combinatorial)…

Computer Science and Game Theory · Computer Science 2012-07-25 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

The popular generalized second price (GSP) auction for sponsored search is built upon a separable model of click-through-rates that decomposes the likelihood of a click into the product of a "slot effect" and an "advertiser effect" --- if…

Computer Science and Game Theory · Computer Science 2014-10-14 Ruggiero Cavallo , Christopher A. Wilkens

We propose a physics-grounded mechanism design for dynamic spectrum sharing that bridges the gap between radiometric retrieval constraints and economic incentives. We formulate the active and passive users coexistence problem as a…

Analysis of PDEs · Mathematics 2026-03-20 Jiguang Yu , Nicholas Brendle , Joel T. Johnson , David Starobinski

The Competition Complexity of an auction setting refers to the number of additional bidders necessary in order for the (deterministic, prior-independent, dominant strategy truthful) Vickrey-Clarke-Groves mechanism to achieve greater revenue…

Computer Science and Game Theory · Computer Science 2018-12-06 Hedyeh Beyhaghi , S. Matthew Weinberg

The focus of classic mechanism design has been on truthful direct-revelation mechanisms. In the context of combinatorial auctions the truthful direct-revelation mechanism that maximizes social welfare is the VCG mechanism. For many…

Computer Science and Game Theory · Computer Science 2013-10-14 Paul Duetting , Monika Henzinger , Martin Starnberger

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

Computer Science and Game Theory · Computer Science 2007-05-23 Rica Gonen , Daniel Lehmann

We study auctions with additive valuations where agents have a limit on the number of goods they may receive. We refer to such valuations as {\em capacitated} and seek mechanisms that maximize social welfare and are simultaneously incentive…

Computer Science and Game Theory · Computer Science 2011-03-01 Edith Cohen , Michal Feldman , Amos Fiat , Haim Kaplan , Svetlana Olonetsky

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

It is well-known that a market equilibrium with uniform prices often does not exist in non-convex day-ahead electricity auctions. We consider the case of the non-convex, uniform-price Pan-European day-ahead electricity market "PCR" (Price…

Optimization and Control · Mathematics 2015-02-02 Mehdi Madani , Mathieu Van Vyve

We study mechanism design in environments where agents have private preferences and private information about a common payoff-relevant state. In such settings with multi-dimensional types, standard mechanisms fail to implement efficient…

Theoretical Economics · Economics 2025-12-24 Dirk Bergemann , Marek Bojko , Paul Dütting , Renato Paes Leme , Haifeng Xu , Song Zuo

The Competition Complexity of an auction measures how much competition is needed for the revenue of a simple auction to surpass the optimal revenue. A classic result from auction theory by Bulow and Klemperer [9], states that the…

Computer Science and Game Theory · Computer Science 2017-10-31 Siqi Liu , Christos-Alexandros Psomas

We consider two sided matching markets consisting of agents with non-transferable utilities; agents from the opposite sides form matching pairs (e.g., buyers-sellers) and negotiate the terms of their math which may include a monetary…

Computer Science and Game Theory · Computer Science 2012-12-05 Saeed Alaei , Kamal Jain , Azarakhsh Malekian

This paper unifies two foundational constructs from economics and algorithmic game theory, the Arctic Auction and the linear Fisher market, to address the efficient allocation of differentiated goods in complex markets. Our main…

Computer Science and Game Theory · Computer Science 2025-11-27 Vijay V. Vazirani

We compute equilibrium strategies in multi-stage games with continuous signal and action spaces as they are widely used in the management sciences and economics. Examples include sequential sales via auctions, multi-stage elimination…

Computer Science and Game Theory · Computer Science 2024-07-23 Fabian R. Pieroth , Nils Kohring , Martin Bichler

We develop a unified ascending-auction framework for computing Walrasian equilibria in combinatorial markets with strong substitutes valuations and piecewise-linear payment functions. Our auction extends the celebrated ascending auctions of…

Computer Science and Game Theory · Computer Science 2026-04-14 Taihei Oki , Ryosuke Sato

Some important classical mechanisms considered in Microeconomics and Game Theory require the solution of a difficult optimization problem. This is true of mechanisms for combinatorial auctions, which have in recent years assumed practical…

Computer Science and Game Theory · Computer Science 2007-05-23 Daniel Lehmann , Liadan Ita O'Callaghan , Yoav Shoham

Generative advertising in large language model (LLM) responses requires optimizing sponsorship configurations under two strict constraints: the strategic behavior of advertisers and the high cost of stochastic generations. To address this,…

Computer Science and Game Theory · Computer Science 2026-04-09 Jiayuan Liu , Barry Wang , Jiarui Gan , Tonghan Wang , Leon Xie , Mingyu Guo , Vincent Conitzer

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.…

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