We analyze competition among informed traders in the continuous-time Kyle (
1985) model, as Foster and Viswanathan (1996) do in discrete time. We expli
citly describe the unique linear equilibrium when signals are imperfectly c
orrelated and confirm the conjecture of Holden and Subrahmanyam (1992) that
there is no linear equilibrium when signals are perfectly correlated. One
result is that at some date, and at all dates thereafter, the market would
have buen more informationally efficient had there been a monopolist inform
ed trader instead of competing traders. The relatively large amount of priv
ate information remaining. near the end of trading causes the market to app
roach complete illiquidity.