Uninsurable Risks: Uncertainty in Production, the Value of
Information and Price Dispersion

Ana Paula Martins

This article digresses over the interaction of uncertainty with the firm’s optimal decisions in a simple framework: a standard price-taking (short-run
restricted) single-input and output unit, subject to the interaction with a zero mean Bernoulli lottery of variable dispersion. The firm is always considered an expected profit-maximizing entity. We inspect the consequences of exogenous uncertainty on the optimal allocations and on its “mean-(and)-variance” valuation position. On the one hand, we contrast the effect of different sources of uncertainty on the producer’s problem — input and output prices and quantities. On the other, we analyze the impact of ex-post flexibility of the decision variables. Importance and role of measures of risk-aversion (of concavity and convexity) imbedded in the firms technology — either the production, marginal productivity or the cost function, — and potentially risk-enhancing or deterrent features of the latter in the transmission of exogenous uncertainty to the optimal profits’ mean and volatility under the different scenarios are highlighted. 

Key Words: Uncertainty and Production; Uncertainty and Labor Demand;
Firm’s Valuation; Mean-Variance; Commitment under Uncertainty; Risk-aversion; Absolute Convexity; The Value of Information/ Flexibility to a Firm; Statistical Discrimination.
JEL Classification Numbers: D80, J23, J24, J71, L14, L15.