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Here, we examine a mean-field game (MFG) that models the economic growth of a population of non-cooperative rational agents. In this MFG, agents are described by two state variables - the capital and consumer goods they own. Each agent…

偏微分方程分析 · 数学 2019-07-26 Diogo Gomes , Laurent Lafleche , Levon Nurbekyan

All-pay auctions, a common mechanism for various human and agent interactions, suffers, like many other mechanisms, from the possibility of players' failure to participate in the auction. We model such failures, and fully characterize…

计算机科学与博弈论 · 计算机科学 2017-02-15 Yoad Lewenberg , Omer Lev , Yoram Bachrach , Jeffrey S. Rosenschein

We characterise the solutions to a continuous-time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads -- these are short-term deviations from the…

交易与市场微观结构 · 定量金融 2025-02-18 Emilio Barucci , Adrien Mathieu , Leandro Sánchez-Betancourt

We study financial systems from a game-theoretic standpoint. A financial system is represented by a network, where nodes correspond to firms, and directed labeled edges correspond to debt contracts between them. The existence of cycles in…

计算机科学与博弈论 · 计算机科学 2021-07-23 Panagiotis Kanellopoulos , Maria Kyropoulou , Hao Zhou

We present a novel agent-based approach to simulating an over-the-counter (OTC) financial market in which trades are intermediated solely by market makers and agent visibility is constrained to a network topology. Dynamics, such as changes…

计量经济学 · 经济学 2024-05-07 James T. Wilkinson , Jacob Kelter , John Chen , Uri Wilensky

In a continuous time stochastic economy, this paper considers the problem of consumption and investment in a financial market in which the representative investor exhibits a change in the discount rate. The investment opportunities are a…

最优化与控制 · 数学 2011-07-12 Traian A. Pirvu , Huayue Zhang

We explore various extensions of Challet and Zhang's Minority Game in an attempt to gain insight into the dynamics underlying financial markets. First we consider a heterogeneous population where individual traders employ differing `time…

凝聚态物理 · 物理学 2007-05-23 Neil F. Johnson , Michael Hart , Pak Ming Hui , Dafang Zheng

We studied non-dynamical stochastic resonance for the number of trades in the stock market. The trade arrival rate presents a deterministic pattern that can be modeled by a cosine function perturbed by noise. Due to the nonlinear…

交易与市场微观结构 · 定量金融 2008-12-02 A. Christian Silva , Ju-Yi J. Yen

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

交易与市场微观结构 · 定量金融 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

We study the mechanism design problem of selling $k$ items to unit-demand buyers with private valuations for the items. A buyer either participates directly in the auction or is represented by an intermediary, who represents a subset of…

计算机科学与博弈论 · 计算机科学 2021-11-23 Gagan Aggarwal , Kshipra Bhawalkar , Guru Guruganesh , Andres Perlroth

We consider a sequential decision model over multi-tier supply chain networks and show that in particular, for series parallel networks, there is a unique equilibrium. We provide a linear time algorithm to compute the equilibrium and study…

计算机科学与博弈论 · 计算机科学 2020-09-29 Tao Jiang , Young-San Lin , Thanh Nguyen

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,…

计算机科学与博弈论 · 计算机科学 2011-03-23 Ning Chen , Xiaotie Deng

Autonomous and learning agents increasingly participate in markets - setting prices, placing bids, ordering inventory. Such agents are not just aiming to optimize in an uncertain environment; they are making decisions in a game-theoretical…

计算机科学与博弈论 · 计算机科学 2025-06-24 Martin Bichler , Julius Durmann , Matthias Oberlechner

We discuss and solve a model for a game with many players, where a subset of truely deciding players is embedded into a hierarchy of dependent agents. These interdependencies modify the game matrix and the Nash equilibria for the deciding…

计算机科学与博弈论 · 计算机科学 2015-04-16 Elisabeth Kraus , Simon D. Lentner

In this article we model chaotic dynamics in financial markets by treating the market price, and market makers' inventory, as anharmonic oscillators with a nonlinear coupling. The market makers' risk appetite being the key parameter that…

统计金融 · 定量金融 2026-05-18 Will Hicks

We propose a price impact model where changes in prices are purely driven by the order flow in the market. The stochastic price impact of market orders and the arrival rates of limit and market orders are functions of the market liquidity…

交易与市场微观结构 · 定量金融 2024-12-18 Peter Bank , Álvaro Cartea , Laura Körber

A simple model of a buying-selling cycle is proposed. The model comprises two moves: a rational buying and a random selling. The notion of a profit intensity is introduced. Supply and demand curves and geometrical interpretation are…

凝聚态物理 · 物理学 2007-05-23 E. W. Piotrowski , J. Sladkowski

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of…

交易与市场微观结构 · 定量金融 2013-09-30 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Henri Waelbroeck

Generative model ecosystems increasingly operate as competitive multi-platform markets, where platforms strategically select models from a shared pool and users with heterogeneous preferences choose among them. Understanding how platforms…

计算机科学与博弈论 · 计算机科学 2026-02-23 Xiukun Wei , Min Shi , Xueru Zhang

This paper studies a nonzero-sum Dynkin game in discrete time under non-exponential discounting. For both players, there are two levels of game-theoretic reasoning intertwined. First, each player looks for an intra-personal equilibrium…

最优化与控制 · 数学 2022-05-09 Yu-Jui Huang , Zhou Zhou