RDP 2007-12: Dynamic Pricing and Imperfect Common Knowledge Equation (46)

a = [ ( 1 − θ ) ( 1 − β θ ) ( 1 − θ ) 2 ( 1 − β θ )   ⋯   ( 1 − θ ) ∞ ( 1 − β θ ) ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaacbeGaa8xyai aa=1dadaWadaqaamaabmaabaGaaGymaGGaaiab+jHiTiabeI7aXbGa ayjkaiaawMcaamaabmaabaGaaGymaiab+jHiTiabek7aIjabeI7aXb GaayjkaiaawMcaamaabmaabaGaaGymaiab+jHiTiabeI7aXbGaayjk aiaawMcaamaaCaaaleqabaGaaGOmaaaakmaabmaabaGaaGymaiab+j HiTiabek7aIjabeI7aXbGaayjkaiaawMcaaiaaykW7cqWIVlctcaaM c8+aaeWaaeaacaaIXaGae4NeI0IaeqiUdehacaGLOaGaayzkaaWaaW baaSqabeaacqGHEisPaaGcdaqadaqaaiaaigdacqGFsislcqaHYoGy cqaH4oqCaiaawIcacaGLPaaaaiaawUfacaGLDbaaaaa@6358@