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Related papers: Broker-Trader Partial Information Nash-Equilibria

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We consider a market impact game for $n$ risk-averse agents that are competing in a market model with linear transient price impact and additional transaction costs. For both finite and infinite time horizons, the agents aim to minimize a…

Trading and Market Microstructure · Quantitative Finance 2020-10-30 Xiangge Luo , Alexander Schied

We formulate and solve a multi-player stochastic differential game between financial agents who seek to cost-efficiently liquidate their position in a risky asset in the presence of jointly aggregated transient price impact, along with…

Trading and Market Microstructure · Quantitative Finance 2023-03-24 Eyal Neuman , Moritz Voß

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 bilateral trade with interdependent values as an informed-principal problem. The mechanism-selection game has multiple equilibria that differ with respect to principal's payoff and trading surplus. We characterize the equilibrium…

Theoretical Economics · Economics 2022-02-22 Takeshi Nishimura

We consider a pair of traders in a market where the information available to the second trader is a strict subset of the information available to the first trader. The traders make prices based on the information available concerning a…

Mathematical Finance · Quantitative Finance 2024-01-24 George Bouzianis , Lane P. Hughston , Leandro Sánchez-Betancourt

We study a multi-player stochastic differential game, where agents interact through their joint price impact on an asset that they trade to exploit a common trading signal. In this context, we prove that a closed-loop Nash equilibrium…

Mathematical Finance · Quantitative Finance 2023-06-23 Alessandro Micheli , Johannes Muhle-Karbe , Eyal Neuman

We consider a one-sided assignment market or exchange network with transferable utility and propose a model for the dynamics of bargaining in such a market. Our dynamical model is local, involving iterative updates of 'offers' based on…

Computer Science and Game Theory · Computer Science 2015-03-14 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Yashodhan Kanoria , Andrea Montanari

Nash equilibrium is a central solution concept for reasoning about self-interested agents. We address the problem of synthesizing Nash equilibria in two-player deterministic games on graphs, where players have private, partially-ordered…

Computer Science and Game Theory · Computer Science 2025-10-29 Caleb Probine , Abhishek Kulkarni , Ufuk Topcu

In this paper, we investigate the seeking of Nash equilibrium (NE) in a non-cooperative quadratic game where all agents exchange their delayed strategy information with their neighbors. To extend best-response algorithms to the delayed…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Kaichen Jiang , Yuyue Yan , Mingda Yue , Yuhu Wu

The existence of a (partial) market equilibrium price is proved in a complete, continuous time finite-agent market setting. The economic agents act as price takers in a fully competitive setting and maximize exponential utility from…

Mathematical Finance · Quantitative Finance 2022-12-01 Alessandro Prosperi

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

Optimization and Control · Mathematics 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We model an informed agent with information about the future value of an asset trying to maximize profits when subjected to a transaction cost as well as a market maker tasked with setting fair transaction prices. In a single auction model,…

Trading and Market Microstructure · Quantitative Finance 2020-07-29 Weston Barger , Ryan Donnelly

Bargaining networks model the behavior of a set of players that need to reach pairwise agreements for making profits. Nash bargaining solutions are special outcomes of such games that are both stable and balanced. Kleinberg and Tardos…

Computer Science and Game Theory · Computer Science 2010-05-10 Yashodhan Kanoria , Mohsen Bayati , Christian Borgs , Jennifer Chayes , Andrea Montanari

We investigate the effects of the social interactions of a finite set of agents on an equilibrium pricing mechanism. A derivative written on non-tradable underlyings is introduced to the market and priced in an equilibrium framework by…

Mathematical Finance · Quantitative Finance 2017-02-14 Jana Bielagk , Arnaud Lionnet , Goncalo Dos Reis

In revenue maximization of selling a digital product in a social network, the utility of an agent is often considered to have two parts: a private valuation, and linearly additive influences from other agents. We study the incomplete…

Computer Science and Game Theory · Computer Science 2011-09-27 Wei Chen , Pinyan Lu , Xiaorui Sun , Bo Tang , Yajun Wang , Zeyuan Allen Zhu

Much work has been done on the computation of market equilibria. However due to strategic play by buyers, it is not clear whether these are actually observed in the market. Motivated by the observation that a buyer may derive a better…

Computer Science and Game Theory · Computer Science 2015-05-18 Bharat Adsul , Ch. Sobhan Babu , Jugal Garg , Ruta Mehta , Milind Sohoni

A large body of empirical literature has shown that market impact of financial prices is transient. However, from a theoretical standpoint, the origin of this temporary nature is still unclear. We show that an implied transient impact…

Trading and Market Microstructure · Quantitative Finance 2023-03-21 Francesco Cordoni , Fabrizio Lillo

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

Computer Science and Game Theory · Computer Science 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

Social-media platforms are one of the most prevalent communication media today. In such systems, a large amount of content is generated and available to the platform. However, not all content can be transmitted to every possible user at all…

Computer Science and Game Theory · Computer Science 2024-10-02 Marcos M. Vasconcelos , Odilon Câmara

We consider a Nash equilibrium between two high-frequency traders in a simple market impact model with transient price impact and additional quadratic transaction costs. Extending a result by Sch\"oneborn (2008), we prove existence and…

Trading and Market Microstructure · Quantitative Finance 2017-05-10 Alexander Schied , Tao Zhang