RDP 2007-12: Dynamic Pricing and Imperfect Common Knowledge Equation (12)

π t = ( 1 θ ) ( 1 β θ ) m c t + ( 1 θ ) ( 1 β θ ) θ [ ( 1 ρ β ) 1 θ ] m c t | t ( 1 ) . MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqiWda3aaS baaSqaaiaadshaaeqaaOGaeyypa0ZaaeWaaeaacaaIXaaccaGae8Ne I0IaeqiUdehacaGLOaGaayzkaaWaaeWaaeaacaaIXaGae8NeI0ccci Gae4NSdiMaeqiUdehacaGLOaGaayzkaaGaamyBaiaadogadaWgaaWc baGaamiDaaqabaGccqGHRaWkdaWcaaqaamaabmaabaGaaGymaiab=j HiTiabeI7aXbGaayjkaiaawMcaamaabmaabaGaaGymaiab=jHiTiab ek7aIjabeI7aXbGaayjkaiaawMcaaaqaaiabeI7aXbaadaWadaqaam aabmaabaGaaGymaiab=jHiTiabeg8aYjabek7aIbGaayjkaiaawMca amaaCaaaleqabaGae8NeI0IaaGymaaaakiab=jHiTiabeI7aXbGaay 5waiaaw2faaiaad2gacaWGJbWaa0baaSqaaiaadshadaabbaqaaiaa dshaaiaawEa7aaqaamaabmaabaGaaGymaaGaayjkaiaawMcaaaaaki aac6caaaa@6BE9@