Self-enforcement, heterogeneous agents, and long-run survival

2021 ◽  
pp. 109906
Author(s):  
Kookyoung Han
2021 ◽  
Author(s):  
Jess Benhabib ◽  
Alberto Bisin ◽  
Ricardo T Fernholz

Abstract Recent empirical work has demonstrated a positive correlation between grandparent-child wealth-rank, even after controlling for parent-child wealth-rank, and a positive correlation between dynastic wealth-ranks across almost 600 years. We show that a simple heterogeneous agents model with idiosyncratic wealth returns generates a realistic wealth distribution but fails to capture these long-run patterns of wealth mobility. An auto-correlated returns specification of this model also fails to capture both short and long-run mobility. However, an extension of the heterogeneous agents model which includes permanent heterogeneity in wealth returns is able to simultaneously match the wealth distribution and short- and long-run wealth mobility.


2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Hai-Chuan Xu ◽  
Wei Zhang ◽  
Xiong Xiong ◽  
Wei-Xing Zhou

We build a multiassets heterogeneous agents model with fundamentalists and chartists, who make investment decisions by maximizing the constant relative risk aversion utility function. We verify that the model can reproduce the main stylized facts in real markets, such as fat-tailed return distribution and long-term memory in volatility. Based on the calibrated model, we study the impacts of the key strategies’ parameters on investors’ wealth shares. We find that, as chartists’ exponential moving average periods increase, their wealth shares also show an increasing trend. This means that higher memory length can help to improve their wealth shares. This effect saturates when the exponential moving average periods are sufficiently long. On the other hand, the mean reversion parameter has no obvious impacts on wealth shares of either type of traders. It suggests that no matter whether fundamentalists take moderate strategy or aggressive strategy on the mistake of stock prices, it will have no different impact on their wealth shares in the long run.


2010 ◽  
Vol 2010 ◽  
pp. 1-27 ◽  
Author(s):  
Serena Brianzoni ◽  
Cristiana Mammana ◽  
Elisabetta Michetti

We consider an asset-pricing model with wealth dynamics in a market populated by heterogeneous agents. By assuming that all agents belonging to the same group agree to share their wealth whenever an agent joins the group (or leaves it), we develop an adaptive model which characterizes the evolution of wealth distribution when agents switch between different trading strategies. Two groups with heterogeneous beliefs are considered: fundamentalists and chartists. The model results in a nonlinear three-dimensional dynamical system, which we have studied in order to investigate complicated dynamics and to explain wealth distribution among agents in the long run.


Author(s):  
Jaksa Cvitanic ◽  
Semyon Malamud

In all the existing literature on survival in heterogeneous economies, the rate at which an agent vanishes in the long run relative to another agent can be characterized by the difference of the so-called survival indices, where each survival index only depends on the preferences of the corresponding agent and the properties of the aggregate endowment. In particular, one agent experiences extinction relative to another (that is, the wealth ratio of the two agents goes to zero) if and only if she has a smaller survival index. We consider a simple complete market model and show that the survival index is more complex if there are more than two agents in the economy. In fact, the following phenomenon may take place: even if agent one experiences extinction relative to agent two, adding a third agent to the economy may reverse the situation and force the agent two to experience extinction relative to agent one. We also calculate the rates of convergence.


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