This paper establishes that when there is not a complete set of markets but more than one commodity the stock market equilibrium will not in general be a constrained Pareto optimum. The economy will lack both the property of exchange and production efficiency. Necessary conditions which must be satisfied if the economy is to be a constrained Pareto optimum for all technologies are derived; if all individuals have identical, homothetic indifference maps, then either there must be unitary price elasticities (so there is no effective risk) or all individuals must have the same degree of risk aversion (so there is no trade on the stock market).

This paper examines the interactions between market structure and resource allocation over time when there is endogenous technical progress. The structures considered are a planned economy, pure monopoly, and competition with patent rights. In an efficient allocation the date of invention coincides with the date of innovation (the date at which technology is used). This is also true with a pure monopoly, but monopoly retards technical progress relative to the efficient level. Competition for patents rights to a new technology results in excessively rapid technical progress if the resource endowment of the economy is sufficiently large. Also, competition may lead to “sleeping patents” where invention strictly precedes the date of innovation.