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We study one-shot Nash competition between an arbitrary number of identical dealers that compete for the order flow of a client. The client trades either because of proprietary information, exposure to idiosyncratic risk, or a mix of both…

Trading and Market Microstructure · Quantitative Finance 2021-07-27 Martin Herdegen , Johannes Muhle-Karbe , Florian Stebegg

We study the monotonicity properties of solutions in the classic problem of fair cake-cutting --- dividing a heterogeneous resource among agents with different preferences. Resource- and population-monotonicity relate to scenarios where the…

Computer Science and Game Theory · Computer Science 2018-09-26 Erel Segal-Halevi , Balázs Sziklai

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

Quantum Physics · Physics 2015-02-05 Faisal Shah Khan

We study the problem of checking for the existence of constrained pure Nash equilibria in a subclass of polymatrix games defined on weighted directed graphs. The payoff of a player is defined as the sum of nonnegative rational weights on…

Computer Science and Game Theory · Computer Science 2016-11-30 Sunil Simon , Dominik Wojtczak

Demand response has been a promising solution for accommodating renewable energy in power systems. In this study, we consider a demand response scheme within a distribution network facing an energy supply deficit. The utility company…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Xiupeng Chen , Jacquelien M. A. Scherpen , Nima Monshizadeh

We propose a novel method to find Nash equilibria in games with binary decision variables by including compensation payments and incentive-compatibility constraints from non-cooperative game theory directly into an optimization framework in…

Optimization and Control · Mathematics 2017-10-10 Daniel Huppmann , Sauleh Siddiqui

In the mobile communication services, users wish to subscribe to high quality service with a low price level, which leads to competition between mobile network operators (MNOs). The MNOs compete with each other by service prices after…

Computer Science and Game Theory · Computer Science 2013-08-29 Seung Min Yu , Seong-Lyun Kim

Despite a substantial body of theoretical and empirical research in the fields of conjoint and discrete choice analysis as well as product line optimization, relatively few papers focused on the simulation of subsequent competitive dynamics…

Econometrics · Economics 2025-12-30 Jan H. R. Dressler , Peter Kurz , Winfried J. Steiner

We study how storage, operating as a price maker within a market environment, may be optimally operated over an extended period of time. The optimality criterion may be the maximisation of the profit of the storage itself, where this profit…

Optimization and Control · Mathematics 2016-06-20 James Cruise , Lisa Flatley , Stan Zachary

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

Computer Science and Game Theory · Computer Science 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

Competition has been introduced in the electricity markets with the goal of reducing prices and improving efficiency. The basic idea which stays behind this choice is that, in competitive markets, a greater quantity of the good is exchanged…

Physics and Society · Physics 2009-11-11 Ettore Bompard , Yuchao Ma , Elena Ragazzi

Firms (businesses, service providers, entertainment organizations, political parties, etc.) advertise on social networks to draw people's attention and improve their awareness of the brands of the firms. In all such cases, the competitive…

Computer Science and Game Theory · Computer Science 2026-03-17 Sayantika Mandal , Harman Agrawal , Swaprava Nath

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

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

We consider a Cournot oligopoly model where multiple suppliers (oligopolists) compete by choosing quantities. We compare the social welfare achieved at a Cournot equilibrium to the maximum possible, for the case where the inverse market…

Optimization and Control · Mathematics 2012-06-28 John N. Tsitsiklis , Yunjian Xu

Distributed optimization and Nash equilibrium (NE) seeking problems have drawn much attention in the control community recently. This paper studies a class of non-cooperative games, known as N-cluster game, which subsumes both cooperative…

Optimization and Control · Mathematics 2023-03-01 Yipeng Pang , Guoqiang Hu

This paper proposes a distributed algorithm to find the Nash equilibrium in a class of non-cooperative convex games with partial-decision information. Our method employs a distributed projected gradient play approach alongside consensus…

Computer Science and Game Theory · Computer Science 2024-12-13 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedić

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

Computer Science and Game Theory · Computer Science 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod

We consider a model of a reinsurance market consisting of multiple insurers on the demand side and multiple reinsurers on the supply side, thereby providing a unifying framework and extension of the recent literature on optimality and…

Risk Management · Quantitative Finance 2025-06-10 Maria Andraos , Mario Ghossoub , Michael B. Zhu

A robust game is a distribution-free model to handle ambiguity generated by a bounded set of possible realizations of the values of players' payoff functions. The players are worst-case optimizers and a solution, called robust-optimization…

Theoretical Economics · Economics 2020-02-11 Giovanni Paolo Crespi , Davide Radi , Matteo Rocca
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