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We study long-term growth-optimal strategies on a simple market with linear proportional transaction costs. We show that several problems of this sort can be solved in closed form, and explicit the non-analytic dependance of optimal…

统计力学 · 物理学 2011-06-24 Erik Aurell , Paolo Muratore-Ginanneschi

In this review article we explore several recent advances in the quantitative modeling of financial markets. We begin with the Efficient Markets Hypothesis and describe how this controversial idea has stimulated a number of new directions…

adap-org · 物理学 2009-10-31 J. Doyne Farmer , Andrew W. Lo

The paper concerns the study of equilibrium points, or steady states, of economic systems arising in modeling optimal investment with \textit{vintage capital}, namely, systems where all key variables (capitals, investments, prices) are…

最优化与控制 · 数学 2019-05-06 Silvia Faggian , Fausto Gozzi , Peter M. Kort

We study dynamic mechanism design in a pure-exchange economy with privately observed idiosyncratic income. In the standard infinitely lived hidden-income benchmark of Green (1987) and Thomas-Worrall (1990), constrained-efficient allocations…

理论经济学 · 经济学 2026-03-18 Michiko Ogaku

We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is shown numerically that despite…

适应与自组织系统 · 物理学 2009-10-31 R. D'Hulst , G. J. Rodgers

We propose a stochastic game modelling the strategic interaction between market makers and traders of optimal execution type. For traders, the permanent price impact commonly attributed to them is replaced by quoting strategies implemented…

交易与市场微观结构 · 定量金融 2025-04-10 Ivan Guo , Shijia Jin

We study a class of heterogeneous agent-based models which are based on a basic set of principles, and the most fundamental operations of an economic system: trade and product transformations. A basic guiding principle is scale invariance,…

交易与市场微观结构 · 定量金融 2009-02-24 Samuel E. Vazquez

Minimizing volatility and adjustment costs is of central importance in many economic environments, yet it is often complicated by evolving feasibility constraints. We study a decision maker who repeatedly selects an action from a…

理论经济学 · 经济学 2026-02-18 Simon Jantschgi , Heinrich H. Nax , Bary S. R. Pradelski , Marek Pycia

We study the design of decision-making mechanism for resource allocations over a multi-agent system in a dynamic environment. Agents' privately observed preference over resources evolves over time and the population is dynamic due to the…

系统与控制 · 电气工程与系统科学 2020-05-20 Tao Zhang , Quanyan Zhu

In both finance and economics, quantitative models are usually studied as isolated mathematical objects --- most often defined by very strong simplifying assumptions concerning rationality, efficiency and the existence of disequilibrium…

综合金融 · 定量金融 2010-10-04 Harbir Lamba

In the present paper a model of a market consisting of real and financial interacting sectors is studied. Agents populating the stock market are assumed to be not able to observe the true underlying fundamental, and their beliefs are biased…

综合金融 · 定量金融 2018-06-13 Fausto Cavalli , Ahmad Naimzada , Nicolò Pecora , Marina Pireddu

I study the optimal regulation of a financial sector where individual banks face self-enforcing constraints countering their default incentives. The constrained-efficient social planner can improve over the unregulated equilibrium in two…

综合经济学 · 经济学 2025-04-08 Aliaksandr Zaretski

We consider a hidden Markov model with multiple observation processes, one of which is chosen at each point in time by a policy---a deterministic function of the information state---and attempt to determine which policy minimises the…

概率论 · 数学 2015-03-17 James Y. Zhao

We analyze a canonical extension of the Stackelberg duopoly to a sequential framework, where each firm strategically anticipates the reactions of all subsequent players. In a triopoly (three-firm) settings, we obtain existence and…

泛函分析 · 数学 2026-04-30 Anton Badev , Martin Pavlov , Boyan Zlatanov

In an arbitrage-free simple market, we demonstrate that for a class of state-dependent exponential utilities, there exists a unique prediction of the random risk aversion that ensures the consistency of optimal strategies across any time…

数理金融 · 定量金融 2025-01-06 Edoardo Berton , Marzia De Donno , Marco Maggis

The First Fundamental Theorem of Welfare Economics assumes that welfare-bearing agents are autonomous and implicitly relies on a binary distinction between autonomy and instrumentality. Welfare subjects are those who have autonomy and…

理论经济学 · 经济学 2026-04-24 Elija Perrier

We develop a formalism to study linearized perturbations around the equilibria of a pure exchange economy. With the use of mean field theory techniques, we derive equations for the flow of products in an economy driven by heterogeneous…

交易与市场微观结构 · 定量金融 2015-05-13 Samuel E. Vazquez , Simone Severini

This study rigorously investigates the Keynesian cross model of a national economy with a focus on the dynamic relationship between government spending and economic equilibrium. The model consists of two ordinary differential equations…

综合经济学 · 经济学 2023-03-21 Xinyu Li

Cooperative behavior, where one individual incurs a cost to help another, is a wide spread phenomenon. Here we study direct reciprocity in the context of the alternating Prisoner's Dilemma. We consider all strategies that can be implemented…

种群与进化 · 定量生物学 2014-03-05 Benjamin M. Zagorsky , Johannes G. Reiter , Krishnendu Chatterjee , Martin A. Nowak

We consider a large population of learning agents noncooperatively selecting strategies from a common set, influencing the dynamics of an exogenous system (ES) we seek to stabilize at a desired equilibrium. Our approach is to design a…

系统与控制 · 电气工程与系统科学 2024-09-17 Jair Certório , Nuno C. Martins , Richard J. La , Murat Arcak
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