Download Dynamics of Consumer Demand for New Durable Goods - Lecture Slides | ECON 664 and more Study notes Economics in PDF only on Docsity! “Dynamics of Consumer Demand for New Durable Goods” by Gowrisankaran and Rysman Work in Progress 2007 Diana Iercosan Aggregate Data: NPD Techworld, Online 378 camcorder models 11 brands monthly March 2000-May 2008) market share (US Census) Gowrisankaran and Rysman WP 2007 Gowrisankaran and Rysman
WP 2007
Figure 2: Average indicator characteristics over time
co
* seit “eo
ae
= _
T T T T
Jan0O Jano2 Jano4 JanO6
Photo capable ————~— Night shot
SES DRESS Lamp corcoooooo Media: tape
Gowrisankaran and Rysman
WP 2007
Figure 3: Prices and sales for
camcorders
fF 1000
- 800
i ~ F600
[> 400
600-7
z
&
=
‘o 40075
8
Cc
a
s
o
na
S
¢
“, 2007
é
o
Ww
oT T T T T
Jando Jando2 Jano4 Jan06
Seasonally-adjusted sales | 9 ~---------- Sales
ETT Price
Price in Jan. 2000 dollars
Gowrisankaran and Rysman
WP 2007
Herfindahl index
Figure 4: Competition in the camcorder market
60007
s000-
40007
3000-7
2000
F100
[80
> 60
-40
20
Jando
Janod2
Jano4 JanO6
Herfindahl index
TTS Number of products
Number of products
Gowrisankaran and Rysman WP 2007 Demand Side: Continuum of heterogeneous agents i Infinitely lived Endogenous prices Rational expectations Future discount rate Repeated purchase (obtains utility from only one good) Allows time and product substitution Supply Side: New consumer durable good at time t=0 Infinitely durable Secondary market are insignificant (technological change) Exogenous choice set: +1 Exogenous development in product characteristics tJ Gowrisankaran and Rysman WP 2007 Consumer i at time t maximizes: Net Utility Flow from Good j: given Gross Utility Flow Errors are distributed GEV 1 with median Gowrisankaran and Rysman WP 2007 Or, Consumer i at time t maximizes: Net Utility Flow from Outside Option: given a past purchase at time the Gross Flow - or, given NO previous purchase Mean Utility t̂ Gowrisankaran and Rysman
WP 2007
a» By
Assumption 1 Inclusive Value Sufficiency (IVS)
P (6424112) = P (6i,041|Q) if dit (24) = die (NF).
= Then
EV; (Shoe, 2) = EV; (Sirs die, (Siet1, Jitra,--- a))
=» Becomes
EV, (Shor die, B [Sitets Sites «> \) - EV, (Stor, Sit)
Gowrisankaran and Rysman
WP 2007
Figure 7: Evolution of 6;; over time
-15 -10
-20
\
\
-25
Janoo Jan02 Jan04 Jan06
TTT delta_it 20th percentile
ae delta_it 80th percentile
delta_it 50th percentile
Gowrisankaran and Rysman WP 2007 We can rewrite the Bellman Equation: Gowrisankaran and Rysman
WP 2007
Figure 6: Average estimation error (€j) by month
O01
£005
-.005
-.01
T T T
Janoo Jand2 Jano4 Jand6
Mean xsi orm" Zero base
Gowrisankaran and Rysman WP 2007 Procedure for the Estimation of Parameters: Search over parameters Compute average utility flow over population Predict market shares based on dynamic consumer optimization Gowrisankaran and Rysman WP 2007 Inner loop Evaluates computed predicted market shares starting with draw that gives and sensible “guestimations” of to calculate for consumer i ‘s market share at time t=0 aggregate Repeat each time for new distribution Gowrisankaran and Rysman WP 2007 BLP standard instruments used for price (z variables): Product characteristics in x Mean product characteristics for a firm at the same time Mean product characteristics for all firms at the same time Count of products offered by the firm and by other firms NO direct cost shifter Affect price cost margin
Table 2: Parameter estimates
Gowrisankaran and Rysman
WP 2007
nam . . namic
Parameter Base dynamic mod with model without Static model ated to mode with
model exira random micro
coefficients repurchases year moments
Mean coefficients (a)
Constant 141 (044)* 0970195)" -087 (1.5) 8.90 (263) 4,08 (132) =.243 (213)
Log price 2.66 (S76)* -2.74.,975)" — -.056 (72.6) 0247 (19.1) — 089 (145) 3.01 (582) *
Log size “007 (001) = 007 (014) = 002 (Fesy* = —153 (068) —340 (20) = —019(.003)*
Log pixel 095 (.050) 098 (028) * 002 (027) 2.56 (2.43) 4.52 (5.85) 241 (146) *
Log zoom 007 (002)* OOF LG02)* O07 (Ge4)* 6584 CORK) * S61 (269) O10 (004) *
LogLcD size 993 (001)* 003 C001)® = —Se-4 (9-4) =053 (105) =361 (.325) OL (004) *
Media: DVD 928 (.005)* 027.000)" —001(.004) —.177 (344) 229 (1.35) O52 (017) *
Media: tape 0007 (008) 007 (005) —007,(0003)* 763 (333)* = — 671 (1.05) O17 (O16)
Media: HD 020 (006) .023 (008) * 008 (004) 873 (425) * 1.32 (1.359) 039.019) *
Lamp 006 (OOLy*® = OOFLGOI*® — —.002 (001) = 209 (.130) -.351 (402) 002 (004)
Night shot O09 (001)* OOSCO01I)*® O07 (6e-4)* 646 (OTS * 1.20¢.199) 022 (003) *
Photo capable = -014 (002) * = —015 C008)" = =.008 (002) * = =.431 (205) * 432 (767) 022 (.007) *
Standard deviation coefficients (Z'7)
Constant ORG (025) * 058 (.130) 2e-5 (27) 07 (4e4) 036 (1e3) le-7 (082)
Log price Te-6 (563) 043 (8.06) 0002 (817) O01 (267) COLL (67.7) 651 (233) *
Log size 5e-09 (096)
Log pixel 0015 (337)
Standard errors in parentheses, statistical significance at 3% level indicated with *