<p>In contract theory and mechanism design, if the agents have one-dimensional characteristics, then they are usually considered as a contiuum on $\mathbb R$; if they have n-dimensional type, then they are in a contiuum on $\mathbb R^n$.</p>

<p>Naturally, if those (n-dimensional) types have some sort of correlations, then we could have a manifold of agents!</p>

<p>Or, if "n" is infinite, then we have agents on the infinite dimensional vector space.</p>

<p>Are there any research considered a manifold of agents?</p>

CC BY-SA 3.0
2017-10-10T15:12:40.013Z
Something like http://services.bepress.com/wilson/art20/ ?
Michael Greinecker
CC BY-SA 3.0
2017-10-10T19:30:34.540Z
@MichaelGreinecker I was reading the same paper, too! This paper could be considered as "agents' types are on a infinite dimensional vector subspace $V$", and sometimes, a general topological manifold.
High GPA
<microeconomics><reference-request><mechanism-design><contract-theory>
A manifold of agents?
High GPA
# A manifold of agents?

(Asked by: username_0 on 2017-10-10)

In contract theory and mechanism design, if the agents have one-dimensional characteristics, then they are usually considered as a contiuum on $\mathbb R$; if they have n-dimensional type, then they are in a contiuum on $\mathbb R^n$.

Naturally, if those (n-dimensional) types have some sort of correlations, then we could have a manifold of agents!

Or, if "n" is infinite, then we have agents on the infinite dimensional vector space.

Are there any research considered a manifold of agents?

**Tags:** microeconomics, reference-request, mechanism-design, contract-theory
> **Comments:**
> **username_1**: Something like http://services.bepress.com/wilson/art20/ ?  
> **username_0**: @MichaelGreinecker I was reading the same paper, too! This paper could be considered as "agents' types are on a infinite dimensional vector subspace $V$", and sometimes, a general topological manifold.  

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