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We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

最优化与控制 · 数学 2010-08-24 Michael Ludkovski

We study nonzero-sum stochastic switching games. Two players compete for market dominance through controlling (via timing options) the discrete-state market regime $M$. Switching decisions are driven by a continuous stochastic factor $X$…

综合经济学 · 经济学 2018-07-23 Liangchen Li , Michael Ludkovski

We propose a model where a producer and a consumer can affect the price dynamics of some commodity controlling drift and volatility of, respectively, the production rate and the consumption rate. We assume that the producer has a short…

最优化与控制 · 数学 2021-11-09 René Aïd , Ofelia Bonesini , Giorgia Callegaro , Luciano Campi

This work is concerned with the application of game theoretic principles to model competition between demand response aggregators for selling excess energy stored in electrochemical storage devices directly to other aggregators in a power…

系统与控制 · 计算机科学 2016-12-05 Mahdi Motalleb , Reza Ghorbani

We study a two-player nonzero-sum stochastic differential game where one player controls the state variable via additive impulses while the other player can stop the game at any time. The main goal of this work is characterize Nash…

概率论 · 数学 2019-04-02 Luciano Campi , Davide De Santis

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…

最优化与控制 · 数学 2020-04-30 René Aïd , Roxana Dumitrescu , Peter Tankov

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

适应与自组织系统 · 物理学 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

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…

数理金融 · 定量金融 2023-06-23 Alessandro Micheli , Johannes Muhle-Karbe , Eyal Neuman

This paper investigates inventory management in a multi channel distribution system consisting of one manufacturer and an arbitrary number of retailers that face stochastic demand. Existence of the pure Nash equilibrium is proved and…

计算机科学与博弈论 · 计算机科学 2009-06-02 Mahtab Hoseininia , Farzad Didehvar , Mir Mehdi Seyyed Esfahani

We consider a general nonzero-sum impulse game with two players. The main mathematical contribution of the paper is a verification theorem which provides, under some regularity conditions, a suitable system of quasi-variational inequalities…

We study a mean field game problem arising from the production control for multiple firms with price stickiness in the commodity market. The price dynamics for each firm is described as a (controlled) jump-diffusion process with mean-field…

最优化与控制 · 数学 2022-04-08 Chunmei Jiang , Tongqing Li , Jie Yu

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

最优化与控制 · 数学 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

We design three continuous--time models in finite horizon of a commodity price, whose dynamics can be affected by the actions of a representative risk--neutral producer and a representative risk--neutral trader. Depending on the model, the…

数理金融 · 定量金融 2020-03-04 René Aïd , Giorgia Callegaro , Luciano Campi

We study a nonzero-sum stochastic differential game with both players adopting impulse controls, on a finite time horizon. The objective of each player is to maximize her total expected discounted profits. The resolution methodology relies…

最优化与控制 · 数学 2021-12-21 René Aïd , Lamia Ben Ajmia , M'hamed Gaïgi , Mohamed Mnif

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…

最优化与控制 · 数学 2008-05-21 Iordan V. Iordanov , Stoyan V. Stoyanov , Andrey A. Vassilev

This paper studies a duopoly investment model with uncertainty. There are two alternative irreversible investments. The first firm to invest gets a monopoly benefit for a specified period of time. The second firm to invest gets information…

最优化与控制 · 数学 2019-03-01 Kristina Rognlien Dahl , Espen Stokkereit

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…

交易与市场微观结构 · 定量金融 2020-10-30 Xiangge Luo , Alexander Schied

We study continuous time Bertrand oligopolies in which a small number of firms producing similar goods compete with one another by setting prices. We first analyze a static version of this game in order to better understand the strategies…

最优化与控制 · 数学 2010-07-01 Andrew Ledvina , Ronnie Sircar

This paper examines equilibria in dynamic two-sided matching games, extending Gale and Shapley's foundational model to a non-cooperative, decentralized, and dynamic framework. We focus on markets where agents have utility functions and…

理论经济学 · 经济学 2024-12-02 Nadia Guiñazú , Pablo Neme , Jorge Oviedo

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…

最优化与控制 · 数学 2023-12-29 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov
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