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This work considers coordination and bargaining between two selfish users over a Gaussian interference channel. The usual information theoretic approach assumes full cooperation among users for codebook and rate selection. In the scenario…

Information Theory · Computer Science 2015-03-17 Xi Liu , Elza Erkip

Cooperative bargaining games are widely used to model resource allocation and conflict resolution. Traditional solutions assume the mediator can access agents utility function values and gradients. However, there is an increasing number of…

Computer Science and Game Theory · Computer Science 2025-10-20 Kushagra Gupta , Surya Murthy , Mustafa O. Karabag , Ufuk Topcu , David Fridovich-Keil

By executing offloaded tasks from mobile users, edge computing augments mobile user equipments (UEs) with computing/communications resources from edge nodes (ENs), enabling new services (e.g., real-time gaming). However, despite being more…

Networking and Internet Architecture · Computer Science 2023-09-12 Thai T. Vu , Dinh Thai Hoang , Khoa T. Phan , Diep N. Nguyen , Eryk Dutkiewicz

Bargaining games on exchange networks have been studied by both economists and sociologists. A Balanced Outcome for such a game is an equilibrium concept that combines notions of stability and fairness. In a recent paper, Kleinberg and…

Computer Science and Game Theory · Computer Science 2009-07-27 Yossi Azar , Benjamin Birnbaum , L. Elisa Celis , Nikhil R. Devanur , Yuval Peres

We introduce an extended mathematical programming framework for specifying equilibrium problems and their variational representations, such as generalized Nash equilibrium, multiple optimization problems with equilibrium constraints, and…

Optimization and Control · Mathematics 2018-06-07 Youngdae Kim , Michael C. Ferris

Social utility maximization refers to the process of allocating resources in such a way that the sum of agents' utilities is maximized under the system constraints. Such allocation arises in several problems in the general area of…

Computer Science and Game Theory · Computer Science 2015-03-10 Abhinav Sinha , Achilleas Anastasopoulos

In the area of matching-based market design, existing models using cardinal utilities suffer from two deficiencies: First, the Hylland-Zeckhauser (HZ) mechanism, which has remained a classic in economics for one-sided matching markets, is…

Computer Science and Game Theory · Computer Science 2024-11-05 Ioannis Panageas , Thorben Tröbst , Vijay V. Vazirani

We study the problem of fairly allocating a set of indivisible goods among agents with additive valuations. The extent of fairness of an allocation is measured by its Nash social welfare, which is the geometric mean of the valuations of the…

Computer Science and Game Theory · Computer Science 2018-07-23 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish

We consider a repeatedly played generalized Nash equilibrium game. This induces a multi-agent online learning problem with joint constraints. An important challenge in this setting is that the feasible set for each agent depends on the…

Machine Learning · Computer Science 2024-10-04 Sarah Sachs , Hedi Hadiji , Tim van Erven , Mathias Staudigl

We consider distributed optimization problems in which a group of agents are to collaboratively seek the global optimum through peer-to-peer communication networks. The problem arises in various application areas, such as resource…

Optimization and Control · Mathematics 2016-08-30 Jinming Xu , Shanying Zhu , Yeng Chai Soh , Lihua Xie

Generalized Nash equilibrium (GNE) problems are commonly used to model strategic interactions between self-interested agents who are coupled in cost and constraints. Specifically, the variational GNE, a refinement of the GNE, is often…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Sophie Hall , Florian Dörfler , Heinrich H. Nax , Saverio Bolognani

The maximization of Nash welfare, which equals the geometric mean of agents' utilities, is widely studied because it balances efficiency and fairness in resource allocation problems. Banerjee, Gkatzelis, Gorokh, and Jin (2022) recently…

Data Structures and Algorithms · Computer Science 2024-11-11 Zhiyi Huang , Minming Li , Xinkai Shu , Tianze Wei

We design a distributed algorithm for learning Nash equilibria over time-varying communication networks in a partial-decision information scenario, where each agent can access its own cost function and local feasible set, but can only…

Optimization and Control · Mathematics 2020-09-11 Mattia Bianchi , Sergio Grammatico

We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor approximations are known, with the current best ratio of 3.…

Computational Geometry · Computer Science 2015-05-13 Imran A. Pirwani , Mohammad R. Salavatipour

We study strategic games on weighted directed graphs, in which the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy, augmented by a fixed non-negative integer bonus for picking a…

Computer Science and Game Theory · Computer Science 2021-03-15 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

Worst-case hardness results for most equilibrium computation problems have raised the need for beyond-worst-case analysis. To this end, we study the smoothed complexity of finding pure Nash equilibria in Network Coordination Games, a…

Computational Complexity · Computer Science 2019-02-27 Shant Boodaghians , Rucha Kulkarni , Ruta Mehta

The problem of robust dynamic pricing of an abstract commodity, whose inventory is specified at an initial time but never subsequently replenished, originally studied by Perakis and Sood (2006) in discrete time, is considered from the…

Optimization and Control · Mathematics 2012-09-04 Terry L. Friesz , Changhyun Kwon , Tae Il Kim , Lifan Fan , Tao Yao

Cognitive Autonomous Networks (CAN) are promoted to advance Self Organizing Network (SON), replacing rule-based SON Functions (SFs) with Cognitive Functions (CFs), which learn optimal behavior by interacting with the network. As in SON, CFs…

Networking and Internet Architecture · Computer Science 2020-01-22 Anubhab Banerjee , Stephen S. Mwanje , Georg Carle

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

Computer Science and Game Theory · Computer Science 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

This paper proposes a new combinatorial auction framework for local energy flexibility markets, which addresses the issue of prosumers' inability to bundle multiple flexibility time intervals. To solve the underlying NP-complete winner…

Machine Learning · Computer Science 2023-07-27 Awadelrahman M. A. Ahmed , Frank Eliassen , Yan Zhang