It　was　assumed　that　there　were　two　types　of　travelers　in　the　network,　that　is,　completely　rational　and　boundedly　rational　travelers.　Two　kinds　of　information　in　the　day-to-day　travel　may　be　obtained:　complete　historical　information　and　incomplete　historical　information.　According　to　travelers＇　day-to-day　route-choice　process,　travelers＇　perceived　travel　time,　its　updating　method,　bounded　rationality　model　and　route-choice　model　were　developed.　Numerical　experiments　on　a　grid　network　show　that　whether　the　system　evolution　under　complete　historical　information　can　reach　equilibrium　depends　on　travelers＇　reliance　on　the　information,　travelers＇　bounded　rationality　level　and　the　percentage　of　completely　rational　travelers.　However,　the　system　evolution　under　incomplete　information　can　always　reach　equilibrium.　If　travelers　rely　on　information　greatly　or　in　an　intermediate　degree,　travelers　may　be　mainly　in　bounded　rationality　and　the　percentage　of　boundedly　rational　travelers　is　high,　the　efficiency　of　system　under　complete　information　may　be　greater　than　that　under　incomplete　information.　Otherwise,　the　system　under　incomplete　information　should　be　superior　to　that　under　complete　information.　The　results　can　be　used　as　a　reference　for　the　application　of　transportation　information　release　systems.