RDP 2007-12: Dynamic Pricing and Imperfect Common Knowledge Equation (B6)

P = W ( P P L ( L P L + ε ε ) 1 L P ) W + u u ε ε = [ σ ε 2 0 0 0 0 0 0 0 σ y 2 ] , u u = N [ σ ν 2 0 0 0 σ η 2 0 0 0 σ y 2 ] N . MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGqb Gaeyypa0Jaam4vamaabmaabaGaamiuaGGaaiab=jHiTiaadcfacaWG mbGae8NmGi6aaeWaaeaacaWGmbGaamiuaiaadYeacqWFYaIOcqWFRa WkcqWFris5daWgaaWcbaGaeqyTduMaeqyTdugabeaaaOGaayjkaiaa wMcaamaaCaaaleqabaGae8NeI0caaOWaaWbaaSqabeaacaaIXaaaaO GaamitaiaadcfaaiaawIcacaGLPaaacaWGxbGae8NmGiQae83kaSIa e8xeIu+aaSbaaSqaaiaadwhacaWG1baabeaaaOqaaiab=fHiLpaaBa aaleaacqaH1oqzcqaH1oqzaeqaaOGaeyypa0ZaamWaaeaafaqabeWa daaabaGaeq4Wdm3aa0baaSqaaiabew7aLbqaaiaaikdaaaaakeaaca aIWaaabaGaaGimaaqaaiaaicdaaeaacaaIWaaabaGaaGimaaqaaiaa icdaaeaacaaIWaaabaGaeq4Wdm3aa0baaSqaaiaadMhaaeaacaaIYa aaaaaaaOGaay5waiaaw2faaiaacYcacqWFris5daWgaaWcbaGaamyD aiaadwhaaeqaaOGaeyypa0JaamOtamaadmaabaqbaeqabmWaaaqaai abeo8aZnaaDaaaleaacqaH9oGBaeaacaaIYaaaaaGcbaGaaGimaaqa aiaaicdaaeaacaaIWaaabaGaeq4Wdm3aa0baaSqaaiabeE7aObqaai aaikdaaaaakeaacaaIWaaabaGaaGimaaqaaiaaicdaaeaacqaHdpWC daqhaaWcbaGaamyEaaqaaiaaikdaaaaaaaGccaGLBbGaayzxaaGaam Otaiab=jdiIkab=5caUaaaaa@86FF@