Resource-envy-free and efficient allocations: A new solution for production economies with dedicated factors

I consider the problem of determining an equitable and efficient allocation of resources in production economies with factors which must be dedicated to production and cannot be consumed directly. First, I show that in such economies envy-free and efficient allocations exist under standard assumptions. However, I argue this notion of fairness is unsuitable for the present context. I then introduce a new notion of fairness, which I call resource-envy-freeness. First, I associate with each consumption bundle its resource footprint consisting of the vector of factors used to produce it. I then show that preferences over consumption bundles can be extended to preferences over factor bundles. An allocation is resource-envy-free if no agent prefers another agent’s resource footprint to its own. The analysis of resource-envy-free allocations in production is exactly analogous to the analysis of envy-free allocations in exchange. I establish that resource-envy-free and efficient allocations exist under standard assumptions, and I demonstrate that such allocations are intuitively appealing.