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We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

Computer Science and Game Theory · Computer Science 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

One key in real-life Nash equilibrium applications is to calibrate players' cost functions. To leverage the approximation ability of neural networks, we proposed a general framework for optimizing and learning Nash equilibrium using neural…

Computer Science and Game Theory · Computer Science 2024-09-04 Di Zhang , Wei Gu , Qing Jin

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

Optimization and Control · Mathematics 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

We consider the process of bidding by electricity suppliers in a day-ahead market context where each supplier bids a linear non-decreasing function of her generating capacity with the goal of maximizing her individual profit given other…

Optimization and Control · Mathematics 2018-11-16 Ruidi Chen , Ioannis Ch. Paschalidis , Michael C. Caramanis , Panagiotis Andrianesis

Bilateral trade is one of the most natural and important forms of economic interaction: A seller has a single, indivisible item for sale, and a buyer is potentially interested. The two parties typically have different, privately known…

Computer Science and Game Theory · Computer Science 2023-12-20 Yixuan Even Xu , Hanrui Zhang , Vincent Conitzer

Capacitated network bargaining games are popular combinatorial games that involve the structure of matchings in graphs. We show that it is always possible to stabilize unit-weight instances of this problem (that is, ensure that they admit a…

Discrete Mathematics · Computer Science 2024-09-05 Laura Sanità , Lucy Verberk

Variational relation problems allow a general approach for variational inequalities, equilibrium problems, optimization problems, variational inclusions. In this paper we consider a system of quasi-variational relations and determine some…

Optimization and Control · Mathematics 2013-06-04 Daniela Inoan

We study the problem of designing a two-sided market (double auction) to maximize the gains from trade (social welfare) under the constraints of (dominant-strategy) incentive compatibility and budget-balance. Our goal is to do so for an…

Computer Science and Game Theory · Computer Science 2024-06-21 Moshe Babaioff , Amitai Frey , Noam Nisan

In Multi-task learning (MTL), a joint model is trained to simultaneously make predictions for several tasks. Joint training reduces computation costs and improves data efficiency; however, since the gradients of these different tasks may…

Machine Learning · Computer Science 2022-07-11 Aviv Navon , Aviv Shamsian , Idan Achituve , Haggai Maron , Kenji Kawaguchi , Gal Chechik , Ethan Fetaya

We study the range of prices at which a rational agent should contemplate transacting a financial contract outside a given securities market. Trading is subject to nonproportional transaction costs and portfolio constraints and full…

Mathematical Finance · Quantitative Finance 2022-04-08 Maria Arduca , Cosimo Munari

In Nash's (1950) seminal result, independence of irrelevant alternatives (IIA) plays a central role, but it has long been a subject of criticism in axiomatic bargaining theory. This paper examines the implication of a weak version of IIA in…

Theoretical Economics · Economics 2025-02-11 Kensei Nakamura

The optimization of power systems involves complex uncertainties, such as technological progress, political context, geopolitical constraints. Negotiations at COP21 are complicated by the huge number of scenarios that various people want to…

Computer Science and Game Theory · Computer Science 2018-10-23 Jialin Liu , Olivier Teytaud

We introduce the study of designing allocation mechanisms for fairly allocating indivisible goods in settings with interdependent valuation functions. In our setting, there is a set of goods that needs to be allocated to a set of agents…

Computer Science and Game Theory · Computer Science 2023-05-24 Georgios Birmpas , Tomer Ezra , Stefano Leonardi , Matteo Russo

This paper proposes a differentially private energy trading mechanism for prosumers in peer-to-peer (P2P) markets, offering provable privacy guarantees while approaching the Nash equilibrium with nearly socially optimal efficiency. We first…

Computer Science and Game Theory · Computer Science 2024-10-22 Yuji Cao , Yue Chen

When multiple users share a common link in direct transmission, packet loss and network collision may occur due to the simultaneous arrival of traffics at the source node. To tackle this problem, users may resort to an indirect path: the…

Signal Processing · Electrical Eng. & Systems 2023-07-18 Qiong Liu , Chehao Wang , Ce Zheng

Recently Cole and Gkatzelis gave the first constant factor approximation algorithm for the problem of allocating indivisible items to agents, under additive valuations, so as to maximize the Nash Social Welfare. We give constant factor…

Computer Science and Game Theory · Computer Science 2017-04-10 Nima Anari , Tung Mai , Shayan Oveis Gharan , Vijay V. Vazirani

This article presents a detailed technical framework for modeling with Bertrand-Nash equilibrium prices under Mixed Logit demand. Two coercive fixed-point equations provide more stable computational methods than those obtained from the…

Numerical Analysis · Mathematics 2010-12-30 W. Ross Morrow , Steven J. Skerlos

This paper studies a matching problem in which a group of agents cooperate with agents on two sides. In environments with either nontransferable or transferable utilities, we demonstrate that a stable outcome exists when cooperations…

Theoretical Economics · Economics 2025-09-16 Chao Huang

This work proposes a novel set of techniques for approximating a Nash equilibrium in a finite, normal-form game. It achieves this by constructing a new reformulation as solving a parameterized system of multivariate polynomials with tunable…

Computer Science and Game Theory · Computer Science 2024-11-05 Ian Gemp

We consider a learning problem for the stable marriage model under unknown preferences for the left side of the market. We focus on the centralized case, where at each time step, an online platform matches the agents, and obtains a noisy…

Machine Learning · Computer Science 2025-01-07 Andreas Athanasopoulos , Anne-Marie George , Christos Dimitrakakis