ADVANCED MACROECONOMICS Lecture 7 Micro Foundations of Incomplete Nominal Adjustment 电子科大经管学院马捷
ADVANCED MACROECONOMICS Lecture 7 Micro Foundations of Incomplete Nominal Adjustment 电子科大经管学院 马捷 1
Outline -The Lucas Incomplete-Information model With perfect information With imperfect information Time dependent price adjustment ·Fischer model .Taylor model State dependent price adjustment 。Caplin-Spulber Model 电子科大经管学院马捷 2
Outline The Lucas Incomplete-Information model • With perfect information • With imperfect information Time dependent price adjustment • Fischer model • Taylor model State dependent price adjustment • Caplin—Spulber Model 电子科大经管学院 马捷 2
Lucas Model with Perfect Information Personal production: Personal consumption:C=P;Q;/P=PL/P Personal utility: U,=c,-↓Ly=fc,iy>1 2 PL/P--L 电子科大经管学院马捷 3
3 Qi Li Lucas Model with Perfect Information Personal consumption:Ci PiQi P Pi Li P Personal production: i i P L P L U C L f c L i i i i i i 1 ( , ), 1 1 Personal utility: 电子科大经管学院 马捷
U,= PL-LL→ Y FOC: aU1=0→ D L-1=0 aLi 1 →nL,= 1(In P-InP) ,- 1 电子科大经管学院马捷 4 一一元 元元元元元元元元
4 i i i i L PP L U 1 FOC: ( ) 1 1 ln ln 1 1 ( ) ln 0 0 1 1 1 l p p L P P P P L L P P L U i i i i i i i i i i ( ) 电子科大经管学院 马捷
Demand for good i: 9:=y+2;-7(p,-p),7>0 The aggregate demand:y=m-p In equilibrium,demand supply, i.e.9,=l→ P-p)=y+:-n,-p) 电子科大经管学院马捷 5
5 Demand for good i: The aggregate demand: y = m - p In equilibrium, demand = supply, i.e. i i i i i i y q p p z q y z p p 0 ( ), 0 电子科大经管学院 马捷 qi li ( ) ( ) 1 1 p p y z p p i i i