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The price of anarchy has become a standard measure of the efficiency of equilibria in games. Most of the literature in this area has focused on establishing worst-case bounds for specific classes of games, such as routing games or more…

Computer Science and Game Theory · Computer Science 2022-06-09 Roberto Cominetti , Valerio Dose , Marco Scarsini

We model the formation of networks as a game where players aspire to maximize their own centrality by increasing the number of other players to which they are path-wise connected, while simultaneously incurring a cost for each added…

Computer Science and Game Theory · Computer Science 2012-09-19 Ryan Tatko , Christopher Griffin

We introduce the class of modified Schelling games in which there are different types of agents who occupy the nodes of a location graph; agents of the same type are friends, and agents of different types are enemies. Every agent is…

Computer Science and Game Theory · Computer Science 2020-05-26 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

Bribe demands present a social conflict scenario where decisions have wide-ranging economic and ethical consequences. Nevertheless, such incidents occur daily in many countries across the globe. Harassment bribery constitute a significant…

Physics and Society · Physics 2018-04-26 Prateek Verma , Anjan K. Nandi , Supratim Sengupta

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to understand how cooperation arises. The…

Physics and Society · Physics 2019-10-01 Norihito Toyota

A key question in cooperative game theory is that of coalitional stability, usually captured by the notion of the \emph{core}--the set of outcomes such that no subgroup of players has an incentive to deviate. However, some coalitional games…

Computer Science and Game Theory · Computer Science 2010-10-21 Yoram Bachrach , Edith Elkind , Reshef Meir , Dmitrii Pasechnik , Michael Zuckerman , Joerg Rothe , Jeffrey S. Rosenschein

Understanding the emergence of prosocial behaviours (e.g., cooperation and trust) among self-interested agents is an important problem in many disciplines. Network structure and institutional incentives (e.g., punishing antisocial agents)…

Physics and Society · Physics 2022-03-29 Ik Soo Lim , Valerio Capraro

This is the first paper to address the topology structure of Job Edge-Fog interconnection network in the perspective of network creation game. A two level network creation game model is given, in which the first level is similar to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-17 Rupei Xu , András Faragó , Jason P. Jue

Algorithmic graph theory has thoroughly analyzed how, given a network describing constraints between various nodes, groups can be formed among these so that the resulting configuration optimizes a \emph{global} metric. In contrast, for…

Discrete Mathematics · Computer Science 2014-02-13 Guillaume Ducoffe , Dorian Mazauric , Augustin Chaintreau

This study introduces the \emph{edge-based Shapley value}, a novel allocation rule within cooperative game theory, specifically tailored for networked systems, where value is generated through interactions represented by edges. Traditional…

Computer Science and Game Theory · Computer Science 2025-07-17 Taiki Yamada , Taisuke Matsubae , Tomoya Akamatsu

Strategic network formation arises where agents receive benefit from connections to other agents, but also incur costs for forming links. We consider a new network formation game that incorporates an adversarial attack, as well as…

Computer Science and Game Theory · Computer Science 2016-11-10 Sanjeev Goyal , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

The partition of society into groups, polarization, and social networks are part of most conversations today. How do they influence price competition? We discuss Bertrand duopoly equilibria with demand subject to network effects. Contrary…

Theoretical Economics · Economics 2021-10-13 Renato Soeiro , Alberto Pinto

We study Nash equilibria and the price of anarchy in the classic model of Network Creation Games introduced by Fabrikant, Luthra, Maneva, Papadimitriou and Shenker in 2003. This is a selfish network creation model where players correspond…

Computer Science and Game Theory · Computer Science 2019-09-24 Carme Àlvarez , Arnau Messegué

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

Computer Science and Game Theory · Computer Science 2026-02-02 Pascal Lenzner , Paraskevi Machaira

Uncoordinated individuals in human society pursuing their personally optimal strategies do not always achieve the social optimum, the most beneficial state to the society as a whole. Instead, strategies form Nash equilibria which are often…

Physics and Society · Physics 2019-11-12 Hyejin Youn , Michael T. Gastner , Hawoong Jeong

We analyze the network congestion game with atomic players, asymmetric strategies, and the maximum latency among all players as social cost. This important social cost function is much less understood than the average latency. We show that…

Computer Science and Game Theory · Computer Science 2012-10-02 Xujin Chen , Benjamin Doerr , Xiaodong Hu , Weidong Ma , Rob van Stee , Carola Winzen

Cooperation is an important research object in economics, sociology, and biology, and the evolution of cooperation in structured populations is a interesting research topic. We mainly focus on the evolution of cooperation with two-order and…

Physics and Society · Physics 2024-10-14 Yihe Ma

This paper is concerned with a model in econophysics, the subfield of statistical physics that applies concepts from traditional physics to economics. In our model, economical agents are represented by the vertices of a connected graph and…

Probability · Mathematics 2017-04-25 Nicolas Lanchier , Stephanie Reed

Evolutionary game theory is one of the key paradigms behind many scientific disciplines from science to engineering. Previous studies proposed a strategy updating mechanism, which successfully demonstrated that the scale-free network can…

Physics and Society · Physics 2015-06-19 Yichao Zhang , M. A. Aziz-Alaoui , Cyrille Bertelle , Shi Zhou , Wenting Wang

While actors in a population can interact with anyone else freely, social relations significantly influence our inclination towards particular individuals. The consequence of such interactions, however, may also form the intensity of our…

Physics and Society · Physics 2024-04-24 Xiaojin Xiong , Ziyan Zeng , Minyu Feng , Attila Szolnoki
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