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In a variety of open source software projects, we document a superlinear growth of production ($R \sim c^\beta$) as a function of the number of active developers $c$, with $\beta \simeq 4/3$ with large dispersions. For a typical project in…

Physics and Society · Physics 2015-06-19 Didier Sornette , Thomas Maillart , Giacomo Ghezzi

We consider a Schelling-like segregation model, in which the behavior of individual agents is determined by a mixed individual and global utility. With a high ratio of global utility being incorporated, the agents are cooperative in order…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Akihisa Okada , Daisuke Inoue , Shihori Koyama , Tadayoshi Matsumori , Hiroaki Yoshida

We consider a peer-to-peer electricity market, where agents hold private information that they might not want to share. The problem is modeled as a noncooperative communication game, which takes the form of a Generalized Nash Equilibrium…

Computer Science and Game Theory · Computer Science 2021-01-19 Ilia Shilov , Hélène Le Cadre , Ana Bušic

This paper focuses on the cross-layer issue of joint multiuser detection and resource allocation for energy efficiency in wireless CDMA networks. In particular, assuming that a linear multiuser detector is adopted in the uplink receiver,…

Information Theory · Computer Science 2007-12-11 Stefano Buzzi , H. Vincent Poor

We consider the existence and computational complexity of coalitional stability concepts based on social networks. Our concepts represent a natural and rich combinatorial generalization of a recent approach termed partition equilibrium. We…

Computer Science and Game Theory · Computer Science 2010-12-08 Martin Hoefer , Michal Penn , Maria Polukarov , Alexander Skopalik , Berhold Vöcking

The problem of robust utility maximization in an incomplete market with volatility uncertainty is considered, in the sense that the volatility of the market is only assumed to lie between two given bounds. The set of all possible models…

Probability · Mathematics 2015-04-07 Anis Matoussi , Dylan Possamaï , Chao Zhou

A dynamic model of collective consumption and saving decisions made by a finite number of agents with constant but different discount rates is developed. Collective utility is a weighted sum of individual utilities with time-varying utility…

Optimization and Control · Mathematics 2018-07-18 Luis A. Alcala

With increasing renewable penetration in power systems, a prominent challenge in efficient and reliable power system operation is handling the uncertainties inherent in the renewable generation. In this paper, we propose a simple…

Computer Science and Game Theory · Computer Science 2019-12-03 Hossein Khazaei , X. Andy Sun , Yue Zhao

Computational aspects of solution notions such as Nash equilibrium have been extensively studied, including settings where the ultimate goal is to find an equilibrium that possesses some additional properties. Furthermore, in order to…

Computational Complexity · Computer Science 2023-05-09 Bruce M. Kapron , Koosha Samieefar

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

Optimization methods are used to determine equilibria of investment in cryptocurrencies. The basic assumptions involve existence of a core group (the "wealthy") that fears the loss of substantial assets through government seizure.…

Mathematical Finance · Quantitative Finance 2019-04-16 Carey Caginalp , Gunduz Caginalp

In the traditional game-theoretic set up, where agents select actions and experience corresponding utilities, an equilibrium is a configuration where no agent can improve their utility by unilaterally switching to a different action. In…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Basilio Gentile , Dario Paccagnan , Bolutife Ogunsula , John Lygeros

In this work, we provide a structural characterization of the possible Nash equilibria in the well-studied class of security games with additive utility. Our analysis yields a classification of possible equilibria into seven types and we…

Computer Science and Game Theory · Computer Science 2022-08-05 Joe Clanin , Sourabh Bhattacharya

In resource contribution games, a class of non-cooperative games, the players want to obtain a bundle of resources and are endowed with bags of bundles of resources that they can make available into a common for all to enjoy. Available…

Computer Science and Game Theory · Computer Science 2024-04-01 Nicolas Troquard

An important part of the Smart Grid literature on residential Demand Response deals with game-theoretic consumption models. Among those papers, the hourly billing model is of special interest as an intuitive and fair mechanism. We focus on…

Optimization and Control · Mathematics 2017-12-27 Paulin Jacquot , Olivier Beaude , Stéphane Gaubert , Nadia Oudjane

We revisit in this paper the relation between evolution of species and the mathematical tool of evolutionary games, which has been used to model and predict it. We indicate known shortcoming of this model that restricts the capacity of…

Computer Science and Game Theory · Computer Science 2014-09-29 Ilaria Brunetti , Rachid El-Azouzi , Eitan Altman

We study the existence of pure Nash equilibrium (PNE) for the mechanisms used in Internet services (e.g., online reviews and question-answer websites) to incentivize users to generate high-quality content. Most existing work assumes that…

Computer Science and Game Theory · Computer Science 2014-04-22 Yingce Xia , Tao Qin , Nenghai Yu , Tie-Yan Liu

The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where…

Computer Science and Game Theory · Computer Science 2018-08-28 Wei-Chun Lee , Vasilis Livanos , Ruta Mehta , Hari Sundaram

This paper focuses on analyzing the free-riding behavior of self-interested users in online communities. Hence, traditional optimization methods for communities composed of compliant users such as network utility maximization cannot be…

Machine Learning · Computer Science 2011-08-30 Yu Zhang , Mihaela van der Schaar

A single server commences its service at time zero every day. A random number of customers decide when to arrive to the system so as to minimize the waiting time and tardiness costs. The costs are proportional to the waiting time and the…

Probability · Mathematics 2022-11-15 Liron Ravner , Jiesen Wang