RDP 2007-12: Dynamic Pricing and Imperfect Common Knowledge Equation (38)

d x t ( 0 : ) + δ t = d M x t | t ( 0 : ) 1 γ ( ϕ π c x t | t ( 0 : ) + ϕ y d x t | t ( 0 : ) c M x t | t ( 0 : ) ) + δ t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaacbeGaa8hzai aa=HhadaqhaaWcbaGaamiDaaqaamaabmaabaGaaGimaGGaaiab+Pda 6iabg6HiLcGaayjkaiaawMcaaaaakiabgUcaRiadmciH0oazdGaJaU baaSqaiWiGcGaJaoiDaaqajWiGaOGaeyypa0Jaa8hzaGqaciaa91ea caWF4bWaa0baaSqaaiaadshadaabbaqaaiaadshaaiaawEa7aaqaam aabmaabaGaaGimaiab+Pda6iabg6HiLcGaayjkaiaawMcaaaaakiab +jHiTmaalaaabaGaaGymaaqaaiab+n7aNbaadaqadaqaaiabew9aMn aaBaaaleaacqaHapaCaeqaaOGaa83yaiaa=HhadaqhaaWcbaGaamiD amaaeeaabaGaamiDaaGaay5bSdaabaWaaeWaaeaacaaIWaGae4NoaO JaeyOhIukacaGLOaGaayzkaaaaaOGaey4kaSIaeqy1dy2aaSbaaSqa aiaadMhaaeqaaOGaa8hzaiaa=HhadaqhaaWcbaGaamiDamaaeeaaba GaamiDaaGaay5bSdaabaWaaeWaaeaacaaIWaGae4NoaOJaeyOhIuka caGLOaGaayzkaaaaaOGae4NeI0ccbaGaaW3yaiaa91eacaWF4bWaa0 baaSqaaiaadshadaabbaqaaiaadshaaiaawEa7aaqaamaabmaabaGa aGimaiab+Pda6iabg6HiLcGaayjkaiaawMcaaaaaaOGaayjkaiaawM caaiabgUcaRiabes7aKnaaBaaaleaacaWG0baabeaaaaa@83AB@