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A moment constraint that limits the number of dividends in the optimal dividend problem is suggested. This leads to a new type of time-inconsistent stochastic impulse control problem. First, the optimal solution in the precommitment sense…

最优化与控制 · 数学 2019-09-25 Sören Christensen , Kristoffer Lindensjö

This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

最优化与控制 · 数学 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

This paper studies the limits of empirical means of open-loop Nash equilibria of linear-quadratic stochastic differential games as the number of players goes to infinity, when the corresponding mean field game is of potential type and may…

概率论 · 数学 2026-02-27 Alekos Cecchin , Jodi Dianetti

This paper uses Nash equilibrium reversion as an optimal tool for clearing dynamic prices and wages. Various exogenous competitive rigidities determine the balanced growth path of the efficiency wage and the outcome of repeated…

理论经济学 · 经济学 2025-11-05 Alfred A. B. Mayaki

This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by…

概率论 · 数学 2016-09-05 Umut Çetin , Albina Danilova

This paper proposes a novel approach for locally stable convergence to Nash equilibrium in duopoly noncooperative games based on a distributed event-triggered control scheme. The proposed approach employs extremum seeking, with sinusoidal…

最优化与控制 · 数学 2024-04-12 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

This paper builds on the work of Degond, Herty and Liu by considering N-player stochastic differential games. The control corresponding to a Nash equilibrium of such a game is approximated through model predictive control (MPC) techniques.…

最优化与控制 · 数学 2019-11-12 Matt Barker

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

We investigate the effects of competition in a problem of resource extraction from a common source with diffusive dynamics. In the symmetric version with identical extraction rates we prove the existence of a Nash equilibrium where the…

最优化与控制 · 数学 2021-06-10 Erik Ekström , Kristoffer Lindensjö

We investigate mean-field games (MFG) in which agents can actively control their speed of access to information. Specifically, the agents can dynamically decide to obtain observations with reduced delay by accepting higher observation…

最优化与控制 · 数学 2025-06-03 Dirk Becherer , Christoph Reisinger , Jonathan Tam

The presence of uncertainties in the ride-hailing market complicates the pricing strategies of on-demand platforms that compete each other to offer a mobility service while striving to maximize their profit. Looking at this problem as a…

最优化与控制 · 数学 2022-03-30 Filippo Fabiani , Barbara Franci

We study a family of mean field games with a state variable evolving as a multivariate jump diffusion process. The jump component is driven by a Poisson process with a time-dependent intensity function. All coefficients, i.e. drift,…

概率论 · 数学 2020-07-14 Chiara Benazzoli , Luciano Campi , Luca Di Persio

We consider the basic problem of approximating Nash equilibria in noncooperative games. For monotone games, we design continuous time flows which converge in an averaged sense to Nash equilibria. We also study mean field equilibria, which…

泛函分析 · 数学 2022-03-25 Ryan Hynd

We consider the mean-field game where each agent determines the optimal time to exit the game by solving an optimal stopping problem with reward function depending on the density of the state processes of agents still present in the game.…

最优化与控制 · 数学 2020-07-09 Géraldine Bouveret , Roxana Dumitrescu , Peter Tankov

This paper focuses on multi-agent stochastic differential games for jump-diffusion systems. On one hand, we study the multi-agent game for optimal investment in a jump-diffusion market. We derive constant Nash equilibria and provide…

最优化与控制 · 数学 2025-04-08 Liwei Lu , Ruimeng Hu , Xu Yang , Yi Zhu

We study discrete-time mean-field Markov games with infinite numbers of agents where each agent aims to minimize its ergodic cost. We consider the setting where the agents have identical linear state transitions and quadratic cost…

最优化与控制 · 数学 2019-10-17 Zuyue Fu , Zhuoran Yang , Yongxin Chen , Zhaoran Wang

We study a Stackelberg strategy subject to the evolutionary linearized micropolar fluids equations in domains with moving boundaries, considering a Nash multi-objective equilibrium (non necessarily cooperative) for the "follower players"…

偏微分方程分析 · 数学 2025-01-14 Isaías Pereira de Jesus

Traders constantly consider the price impact associated with changing their positions. This paper seeks to understand how price impact emerges from the quoting strategies of market makers. To this end, market making is modeled as a dynamic…

数理金融 · 定量金融 2021-01-06 Angad Singh

Many economic transactions, including those of online markets, have a time lag between the start and end times of transactions. Customers need to wait for completion of their transaction (order fulfillment) and hence are also interested in…

最优化与控制 · 数学 2018-10-19 Manu K. Gupta , N. Hemachandra

We discuss a class of explicitly solvable mean field type control problems/mean field games with a clear economic interpretation. More precisely, we consider long term average impulse control problems with underlying general one-dimensional…

最优化与控制 · 数学 2021-04-28 Sören Christensen , Berenice Anne Neumann , Tobias Sohr