Competitive rational expectations equilibria without apology

Consider a financial market with N risk-averse asymmetrically informed traders. When N grows at the same rate as noise trading, prices in competitive and in strategic rational expectations equilibrium converge to each other at a rate of 1/N. Equilibria in the two scenarios are close when noise trading volume per informed trader is large in relation to risk-bearing capacity. Both equilibria converge to the competitive equilibrium of a limit continuum economy as the market becomes large at a slower rate of 1/N. The results extend to endogenous information acquisition and the connections with the Grossman-Stiglitz paradox are highlighted.