The world consists of an exchange economy with N agents arranged in a circle. Each agent is described by the following parameters:
- Parameter, r~U[0,1] describing their level of risk aversion.
- Parameter, v~U[a,b] describing their vision. This vision parameter tells how many agents to the left and right are in an agents neighbourhood. Vision could also be the same fixed v for all agents to simplify things. Assume that agent's have perfect information about the endowments etc of all other agents in their neighbourhood/vision.
- Each agent is endowed with some amount of two goods sugar and spice. Endowments could be distributed uniform on some interval.
- Agent have the same utility function which takes the amount of sugar and spice as arguments, and also must include risk aversion somehow. I am open to suggestions as to what utility function would be most appropriate.
- Do agents with higher levels of risk aversion trade at home more often? Do agents with less risk aversion trade abroad more often?
- What type of trade networks evolve through this process? Network structure within time steps and network structure aggregated across time steps would be of interest.
- What are the equilibrium properties of such a model? Is there meaningful convergence? If so, how fast? Is the equilibrium Pareto efficient/Pareto optimal?
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