摘要翻译:
我们发展了一种研究纯交换经济均衡的线性化扰动的形式。利用平均场理论技术,我们导出了由异质偏好和主体间概率相互作用驱动的经济中的产品流动方程。我们能够证明,如果经济主体具有静态偏好,而这些偏好在任何一个稳定状态下也是均匀的,那么最终的财富分配与非均衡理论的动力学无关。特别地,它完全由初始条件决定,与概率无关,与Agent之间的相互作用网络无关。我们证明了网络的主要作用是通过通常的特征值间隙来确定松弛时间,就像在图上随机游动一样。
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英文标题:
《Perturbation theory in a pure exchange non-equilibrium economy》
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作者:
Samuel E. Vazquez, Simone Severini
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最新提交年份:
2009
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:Trading and Market Microstructure 交易与市场微观结构
分类描述:Market microstructure, liquidity, exchange and auction design, automated trading, agent-based modeling and market-making
市场微观结构,流动性,交易和拍卖设计,自动化交易,基于代理的建模和做市
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英文摘要:
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 preferences and probabilistic interaction between agents. We are able to show that if the economic agents have static preferences, which are also homogeneous in any of the steady states, the final wealth distribution is independent of the dynamics of the non-equilibrium theory. In particular, it is completely determined in terms of the initial conditions, and it is independent of the probability, and the network of interaction between agents. We show that the main effect of the network is to determine the relaxation time via the usual eigenvalue gap as in random walks on graphs.
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PDF链接:
https://arxiv.org/pdf/0904.1402