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This paper introduces a geometric framework for analyzing power relations in games, independent of their strategic form. We define a canonical preference space where each player's relational stance is a normalized vector. This model…

Theoretical Economics · Economics 2025-11-11 Daniele De luca

The distributed task allocation problem, as one of the most interesting distributed optimization challenges, has received considerable research attention recently. Previous works mainly focused on the task allocation problem in a population…

Computer Science and Game Theory · Computer Science 2023-08-22 Chunxia Liu , Kaihong Lu , Xiaojie Chen , Attila Szolnoki

In a multi-agent system, transitioning from a centralized to a distributed decision-making strategy can introduce vulnerability to adversarial manipulation. We study the potential for adversarial manipulation in a class of graphical…

Computer Science and Game Theory · Computer Science 2017-11-03 Philip N. Brown , Holly Borowski , Jason R. Marden

We study competitive resource allocation problems in which players distribute their demands integrally on a set of resources subject to player-specific submodular capacity constraints. Each player has to pay for each unit of demand a cost…

Computer Science and Game Theory · Computer Science 2014-07-30 Tobias Harks , Max Klimm , Britta Peis

Adaptive machines have the potential to assist or interfere with human behavior in a range of contexts, from cognitive decision-making to physical device assistance. Therefore it is critical to understand how machine learning algorithms can…

Artificial Intelligence · Computer Science 2023-05-03 Benjamin J. Chasnov , Lillian J. Ratliff , Samuel A. Burden

We consider the provision of public goods on networks of strategic agents. We study different effort outcomes of these network games, namely, the Nash equilibria, Pareto efficient effort profiles, and semi-cooperative equilibria (effort…

Computer Science and Game Theory · Computer Science 2016-05-20 Parinaz Naghizadeh , Mingyan Liu

In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can…

Computer Science and Game Theory · Computer Science 2024-08-05 Gilberto Diaz-Garcia , Francesco Bullo , Jason R. Marden

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

In practical applications, decision-makers with heterogeneous dynamics may be engaged in the same decision-making process. This motivates us to study distributed Nash equilibrium seeking for games in which players are mixed-order (first-…

Optimization and Control · Mathematics 2022-09-05 Maojiao Ye , Lei Ding , Jizhao Yin

In this paper I study the natural selection between two games to determine, which game will dominate in the community as a result of natural selection. The formalization of this question in the form of a parametrized game and the…

Populations and Evolution · Quantitative Biology 2024-09-25 Georgiy Karev

A fundamental problem in noncooperative dynamic game theory is the computation of Nash equilibria under different information structures, which specify the information available to each agent during decision-making. Prior work has…

Computer Science and Game Theory · Computer Science 2026-03-20 Janani S K , Kushagra Gupta , Ufuk Topcu , David Fridovich-Keil

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

Computer Science and Game Theory · Computer Science 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

This work studies a dynamic, adversarial resource allocation problem in environments modeled as graphs. A blue team of defender robots are deployed in the environment to protect the nodes from a red team of attacker robots. We formulate the…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Daigo Shishika , Yue Guan , Michael Dorothy , Vijay Kumar

We present a new type of coordination mechanism among multiple agents for the allocation of a finite resource, such as the allocation of time slots for passing an intersection. We consider the setting where we associate one counter to each…

Multiagent Systems · Computer Science 2019-07-23 Andrea Censi , Saverio Bolognani , Julian G. Zilly , Shima Sadat Mousavi , Emilio Frazzoli

Predicting selfish behavior in public environments by considering Nash equilibria is a central concept of game theory. For the dynamic traffic assignment problem modeled by a flow over time game, in which every particle tries to reach its…

Optimization and Control · Mathematics 2020-07-06 Hoang Minh Pham , Leon Sering

This paper considers the competitive resource allocation problem in Multiple-Input Multiple-Output (MIMO) interfering channels, when users maximize their energy efficiency. Considering each transmitter-receiver pair as a selfish player,…

Signal Processing · Electrical Eng. & Systems 2021-06-18 Guillaume Thiran , Ivan Stupia , Luc Vandendorpe

Designing optimal interdependent networks is important for the robustness and efficiency of national critical infrastructures. Here, we establish a two-person game-theoretic model in which two network designers choose to maximize the global…

Social and Information Networks · Computer Science 2016-02-26 Juntao Chen , Quanyan Zhu

The notion of optimality naturally arises in many areas of applied mathematics and computer science concerned with decision making. Here we consider this notion in the context of three formalisms used for different purposes in reasoning…

Artificial Intelligence · Computer Science 2008-04-21 Krzysztof R. Apt , Francesca Rossi , Kristen Brent Venable

In this paper, we study a network formation game in which agents seek to maximize their influence by allocating constrained resources to choose connections with other agents. In particular, we use Katz centrality to model agents' influence…

Computer Science and Game Theory · Computer Science 2026-04-06 Balaji R , Prashil Wankhede , Pavankumar Tallapragada

Game theory has by now found numerous applications in various fields, including economics, industry, jurisprudence, and artificial intelligence, where each player only cares about its own interest in a noncooperative or cooperative manner,…

Computer Science and Game Theory · Computer Science 2022-07-19 Xiuxian Li , Min Meng , Yiguang Hong , Jie Chen