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Motivated by the emergence of local groundwater exchanges, we construct and analyze stochastic models of dynamic groundwater markets. Our primary focus is endogenizing the price formation and groundwater pumping strategies in a closed…

Trading and Market Microstructure · Quantitative Finance 2026-05-27 Igor Cialenco , Michael Ludkovski

This paper investigates the game theory of resource-allocation situations where the "first come, first serve" heuristic creates inequitable, asymmetric benefits to the players. Specifically, this problem is formulated as a Generalized Nash…

Computer Science and Game Theory · Computer Science 2022-06-16 Nathan Boyd , Steven Gabriel , George Rest , Tom Dumm

Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other…

Trading and Market Microstructure · Quantitative Finance 2025-04-16 Ryan Donnelly , Zi Li

In this paper, we study the Nash dynamics of strategic interplays of n buyers in a matching market setup by a seller, the market maker. Taking the standard market equilibrium approach, upon receiving submitted bid vectors from the buyers,…

Computer Science and Game Theory · Computer Science 2011-03-23 Ning Chen , Xiaotie Deng

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

This paper develops a strategic model of trade between two regions in which, depending on the relation among output, financial resources and transportation costs, the adjustment of prices towards an equilibrium is studied. We derive…

Optimization and Control · Mathematics 2008-05-21 Iordan V. Iordanov , Stoyan V. Stoyanov , Andrey A. Vassilev

We define and study a lending game to model the interbank money market, in which lending banks strategically allocate their cash to borrowing banks. The interest rate offered by each borrowing bank is within the interest rate corridor set…

Computer Science and Game Theory · Computer Science 2026-02-18 Jinyun Tong , Bart de Keijzer , Haoxiang Wang , Carmine Ventre

We develop a tractable equilibrium model for price formation in intraday electricity markets in the presence of intermittent renewable generation. Using stochastic control theory, we identify the optimal strategies of agents with market…

Pricing of Securities · Quantitative Finance 2021-07-01 Olivier Féron , Peter Tankov , Laura Tinsi

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

In this article, a game-theoretic model is constructed that is related to the problem of optimal assignments. Examples are considered. A compromise point is found, the Nash equilibriums and the decision of the Nash arbitration scheme are…

General Economics · Economics 2018-07-23 O. A. Malafeyev , V. E. Onishenko , I. V. Zaytseva

We consider the general problem of a set of agents trading a portfolio of assets in the presence of transient price impact and additional quadratic transaction costs and we study, with analytical and numerical methods, the resulting Nash…

Trading and Market Microstructure · Quantitative Finance 2021-11-30 Francesco Cordoni , Fabrizio Lillo

The modelling of modern power markets requires the representation of the following main features: (i) a stochastic dynamic decision process, with uncertainties related to renewable production and fuel costs, among others; and (ii) a…

Optimization and Control · Mathematics 2019-10-10 Joaquim Dias Garcia , Raphael Chabar

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

Examining the behavior of multi-agent systems is vitally important to many emerging distributed applications - game theory has emerged as a powerful tool set in which to do so. The main approach of game-theoretic techniques is to model…

Computer Science and Game Theory · Computer Science 2024-06-03 Rohit Konda , Rahul Chandan , Jason Marden

Uncertainty in the output power of large-scale wind power plants (WPPs) can face the electricity market players with undesirable profit variations. Market players can hedge themselves against these risks by participating in forward…

Systems and Control · Electrical Eng. & Systems 2023-10-16 Mohsen Banaei , Majid Oloomi Buygi , Hani Raouf-Sheybani , Razgar Ebrahimy , Henrik Madsen

Motivated by recent empirical findings on the periodic phenomenon of aggregated market volumes in equity markets, we aim to understand the causes and consequences of periodic trading activities through a game-theoretic perspective,…

Mathematical Finance · Quantitative Finance 2024-08-20 Yufan Chen , Lan Wu , Renyuan Xu , Ruixun Zhang

Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised is that of fishing strategies. Indeed, overfishing is a…

Optimization and Control · Mathematics 2022-03-23 Idriss Mazari , Domènec Ruiz-Balet

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 consider $n$ risk-averse agents who compete for liquidity in an Almgren--Chriss market impact model. Mathematically, this situation can be described by a Nash equilibrium for a certain linear-quadratic differential game with state…

Optimization and Control · Mathematics 2015-07-08 Alexander Schied , Tao Zhang

We develop a model for the industry dynamics in the electricity market, based on mean-field games of optimal stopping. In our model, there are two types of agents: the renewable producers and the conventional producers. The renewable…

Optimization and Control · Mathematics 2020-04-30 René Aïd , Roxana Dumitrescu , Peter Tankov
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