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Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

This paper proposes and studies a class of discrete-time finite-time-horizon Stackelberg mean-field games, with one leader and an infinite number of identical and indistinguishable followers. In this game, the objective of the leader is to…

最优化与控制 · 数学 2022-10-11 Xin Guo , Anran Hu , Jiacheng Zhang

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 characterize Nash equilibrium by postulating coherent behavior across varying games. Nash equilibrium is the only solution concept that satisfies the following axioms: (i) strictly dominant actions are played with positive probability,…

理论经济学 · 经济学 2024-07-02 Florian Brandl , Felix Brandt

The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act…

计算机科学中的逻辑 · 计算机科学 2020-08-14 Julian Gutierrez , Aniello Murano , Giuseppe Perelli , Sasha Rubin , Thomas Steeples , Michael Wooldridge

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 study one-shot Nash competition between an arbitrary number of identical dealers that compete for the order flow of a client. The client trades either because of proprietary information, exposure to idiosyncratic risk, or a mix of both…

交易与市场微观结构 · 定量金融 2021-07-27 Martin Herdegen , Johannes Muhle-Karbe , Florian Stebegg

We introduce a class of Bayesian bidding games for which we prove that the set of pure Nash equilibria is a (non-empty) sublattice and we give a sufficient condition for uniqueness that is often verified in the context of markets with…

计算机科学与博弈论 · 计算机科学 2023-10-06 Benjamin Heymann , Alejandro Jofré

This work is devoted to finding the closed-loop equilibria for a class of mean-field games (MFGs) with infinitely many symmetric players in a common switching environment when the cost functional is under general discount in time. There are…

最优化与控制 · 数学 2024-03-04 Hongwei Mei , Son Luu Nguyen , George Yin

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 optimal execution in markets with transient price impact in a competitive setting with $N$ traders. Motivated by prior negative results on the existence of pure Nash equilibria, we consider randomized strategies for the traders and…

交易与市场微观结构 · 定量金融 2026-05-19 Steven Campbell , Marcel Nutz

In this paper we study a continuous time equilibrium model of limit order book (LOB) in which the liquidity dynamics follows a non-local, reflected mean-field stochastic differential equation (SDE) with evolving intensity. Generalizing the…

最优化与控制 · 数学 2020-03-03 Jin Ma , Eunjung Noh

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

计算机科学与博弈论 · 计算机科学 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

系统与控制 · 电气工程与系统科学 2025-11-06 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

Drawing intuition from a (physical) hydraulic system, we present a novel framework, constructively showing the existence of a strong Nash equilibrium in resource selection games (i.e., asymmetric singleton congestion games) with nonatomic…

计算机科学与博弈论 · 计算机科学 2016-06-07 Yannai A. Gonczarowski , Moshe Tennenholtz

This paper studies a class of network games with linear-quadratic payoffs and externalities exerted through a strictly concave interaction function. This class of game is motivated by the diminishing marginal effects with peer influences.…

最优化与控制 · 数学 2024-06-04 Jiamin Cai , Chenyue Zhang , Hoi-To Wai

Much work has been done on the computation of market equilibria. However due to strategic play by buyers, it is not clear whether these are actually observed in the market. Motivated by the observation that a buyer may derive a better…

计算机科学与博弈论 · 计算机科学 2015-05-18 Bharat Adsul , Ch. Sobhan Babu , Jugal Garg , Ruta Mehta , Milind Sohoni

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

In this paper, using the mean-field game theory, we study a problem of equilibrium price formation among many investors with exponential utility in the presence of liabilities unspanned by the security prices. The investors are…

数理金融 · 定量金融 2025-01-07 Masaaki Fujii , Masashi Sekine

Mean field games are limit models for symmetric $N$-player games with interaction of mean field type as $N\to\infty$. The limit relation is often understood in the sense that a solution of a mean field game allows to construct approximate…

概率论 · 数学 2017-05-29 Markus Fischer