The model developed is a mean field game model, which allows for heterogeneity in the productivity of a firm and allows for a novel approach to describing sector-level spillovers. The model is constructed from a network of interacting firms, whose connections represent knowledge transfers. We ...
We propose a linear–quadratic mean-field game (MFG) model to study market price formation. We derive ordinary differential equations that predict the relation between the price and the demand and present various examples to show the implications of these equations on price formation through supply–...
平均场博弈论(Mean-field Games)简介 (Mean-Field Games)研究的是大量对象之间的博弈,探索在一个竞争的环境中,对象如何选择最优的决策。例如股市里大量根据其他用户行为交易股票的股民,海里游动的鱼群,在世界杯现场看足球赛的观众等。目前,平均场博弈论在经济、金融、机器学习等方面都有应用。那什么是平均场呢?平...
A simple model of corruption that takes into account the effect of the interaction of a large number of agents by both rational decision making and myopic
28 Recent Progress on Random Field Ising Model 29:25 The effect of free boundary conditions on the Ising model in high dimensions (1) 57:01 The Effect of Free Boundary Conditions on the Ising Model in High Dimensions 31:49 How round is a Jordan curve_ 54:24 Emergence of diverse ...
The New Big Fish Called Mean-Field Game Theory 原文链接 http://www.science4all.org/article/mean-field-games/www.science4all.org/article/mean-field-games/ 主要内容 在经典博弈论中,它对附近其他鱼类的行为做出反应。这是非常复杂的,因为不同的鱼类之间会有大量的相互作用。这意味着经典博弈论对应于...
A Mean Field Game Model For The Evolution Of Cities 作者: Barilla, Cesar;Carlier, Guillaume;Lasry, Jean-Michel;摘要: We propose a (toy) MFG model for the evolution of residents and firms densities, coupled both by labour market equilibrium conditions and competition for land use (congestion)....
This paper considers a mean field game model inspired by crowd motion where agents want to leave a given bounded domain through a part of its boundary in minimal time. Each agent is free to move in any direction, but their maximal speed is bounded in terms of the average density of agents...
A simple model of corruption that takes into account the effect of the interaction of a large number of agents by both rational decision making and myopic behavior is developed. Its stationary version turns out to be a rare example of an exactly solvable model of mean-field-game type. The ...
Mean field games with optimal stopping (OSMFG) are a type of mean field game where the agents in the game must choose when to stop playing, in order to minimize their expected cost. What we are interested in is the equilibrium of OSMFGs. Generally speaking, one constructs an equilibrium ...