In a multi-period setting that is equivalent to the classic Rothschild-Stig
litz adverse selection situation, we prove that if insurers do not gather i
nformation on accidents over time, then the inability to commit to contract
renewals is sufficient for the optimal contract sequence to be periodic re
petition of the Rothschild-Stiglitz single-period equilibrium. (C) 1999 Els
evier Science B.V. All rights reserved. JEL classification: D8.