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We consider a gossip approach for finding a Nash equilibrium in a distributed multi-player network game. We extend previous results on Nash equilibrium seeking to the case when the players' cost functions may be affected by the actions of…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

The efficiency of decentralized exchanges (DEXs) and the influence of token routing algorithms on market performance and stakeholder outcomes remain underexplored. This paper introduces the concept of Standardized Total Arbitrage Profit…

Trading and Market Microstructure · Quantitative Finance 2025-08-06 Yu Zhang , Claudio J. Tessone

We propose a decentralized market model in which agents can negotiate bilateral contracts. This builds on a similar, but centralized, model of trading networks introduced by Hatfield et al. in 2013. Prior work has established that…

Computer Science and Game Theory · Computer Science 2025-01-29 Edwin Lock , Benjamin Patrick Evans , Eleonora Kreacic , Sujay Bhatt , Alec Koppel , Sumitra Ganesh , Paul W. Goldberg

We propose a new dynamics for equilibrium selection of finite player discrete strategy games. The dynamics is motivated by optimal transportation, and models individual players' myopicity, greedy and uncertainty when making decisions. The…

Optimization and Control · Mathematics 2017-07-26 Shui-Nee Chow , Wuchen Li , Jun Lu , Haomin Zhou

Locational marginal pricing (LMP) is a widely employed method for pricing electricity in the wholesale electricity market. Although it is well known that the LMP mechanism is vulnerable to market manipulation, there is little literature…

Computer Science and Game Theory · Computer Science 2013-10-17 Wenyuan Tang , Rahul Jain

Platform giants in China have operated with persistently compressed margins in highly concentrated markets for much of the past decade, despite market shares exceeding 60\% in core segments. Standard theory predicts otherwise: either the…

Theoretical Economics · Economics 2026-01-23 Liang Chen

We study a pricing game in multi-hop relay networks where nodes price their services and route their traffic selfishly and strategically. In this game, each node (1) announces pricing functions which specify the payments it demands from its…

Computer Science and Game Theory · Computer Science 2007-10-15 Yufang Xi , Edmund M. Yeh

We consider a dynamical system for computing Nash bargaining solutions on graphs and focus on its rate of convergence. More precisely, we analyze the edge-balanced dynamical system by Azar et al and fully specify its convergence for an…

Computer Science and Game Theory · Computer Science 2012-02-07 Moez Draief , Milan Vojnovic

We consider a variant of Cournot competition, where multiple firms allocate the same amount of resource across multiple markets. We prove that the game has a unique pure-strategy Nash equilibrium (NE), which is symmetric and is…

Optimization and Control · Mathematics 2020-12-15 Ruda Zhang , Roger Ghanem

This paper proposes a novel approach for locally stable convergence to Nash equilibrium in duopoly noncooperative games based on a distributed event-triggered control scheme. The proposed approach employs extremum seeking, with sinusoidal…

Optimization and Control · Mathematics 2024-04-12 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

We investigate a spectrum oligopoly market where primaries lease their channels to secondaries in lieu of financial remuneration. Transmission quality of a channel evolves randomly. Each primary has to select the price it would quote…

Computer Science and Game Theory · Computer Science 2015-05-22 Arnob Ghosh , Saswati Sarkar

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

Multiagent Systems · Computer Science 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

We study the impact of transition scenario uncertainty, namely that of future carbon price and electricity demand, on the pace of decarbonization of the electricity industry. To this end, we develop a theory of optimal stopping mean-field…

Optimization and Control · Mathematics 2023-12-29 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

We analyse a non-cooperative game between two competing ride-hailing platforms, each of which is modeled as a two-sided queueing system, where drivers (with a limited level of patience) are assumed to arrive according to a Poisson process…

Optimization and Control · Mathematics 2025-10-07 Tushar Shankar Walunj , Shiksha Singhal , Jayakrishnan Nair , Veeraruna Kavitha

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

We consider a stochastic game between three types of players: an inside trader, noise traders and a market maker. In a similar fashion to Kyle's model, we assume that the insider first chooses the size of her market-order and then the…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Charles-Albert Lehalle , Eyal Neuman , Segev Shlomov

As the number of prosumers with distributed energy resources (DERs) grows, the conventional centralized operation scheme may suffer from conflicting interests, privacy concerns, and incentive inadequacy. In this paper, we propose an energy…

Computer Science and Game Theory · Computer Science 2022-06-29 Yue Chen , Changhong Zhao , Steven H. Low , Adam Wierman

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

Optimization and Control · Mathematics 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

We consider a queuing network that opens at a specified time, where customers are non-atomic and belong to different classes. Each class has its own route, and as is typical in the literature, the costs are a linear function of waiting and…

Performance · Computer Science 2025-12-09 Agniv Bandyopadhyay , Sandeep Juneja

We study the competition of two strategic agents for liquidity in the benchmark portfolio tracking setup of Bank, Soner, Vo{\ss} (2017). Specifically, both agents track their own stochastic running trading targets while interacting through…

Mathematical Finance · Quantitative Finance 2022-07-07 Moritz Voß