3,525 research outputs found
Relative Extinction of Heterogeneous Agents
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
- …