Exchange economies

The ability of price-mediated trade to achieve efficient outcomes is often described as "the magic of markets". Demonstrate this magic via an example with three agents and three goods.

Instructions:

Write down a three-agent, three-good exchange economy with fully specified preferences and endowments, in which the endowments are not Pareto-efficient.

Demonstrate failure of Pareto-efficiency at the endowments by finding an alternative allocation of goods which is a Pareto-improvement.