I've recently learned about Olson's Collective Action Theory and I'm interested in mathematic models of economies that follow the theory's axioms. I tried finding a general equilibrium macro model with at least two agents in scholar.google.com, to no avail.
I also tried constructing a simple economy myself but it's quite tricky. I tried to make it through general taxes that are distributed depending on interest groups but I can't get the cost of big groups right. I also can't get any interesting features out of it.
Does anyone know of macro models that fit with Olson's theory?
Edit: Folks asked for a bit more clarification. I'm not asking for multi agent economic models in general, but for models that try to follow some of Olson's ideas. Wikipedia can do a better rendition of these, but some lines of work could be:
- Small group sizes can have diminished utility because of less pooled resources or "lobby-power", but large group sizes have increasing transaction costs. So, we should expect a large number of groups at some optimal size. The effect of this "corporatist" economy on welfare could be calculated as well. This is what I'm most interested in finding.
- The larger a population, the greater the chance people will try to free-ride, leading to reduced resources and a worse outcome in the long run. This seems more like a Macro 1 problem than something that goes to a paper, though.