Title: Social Learning and Consumer Demand
1Social Learning and Consumer Demand
- Markus Mobius (Harvard University and NBER)
- Paul Niehaus (Harvard University)
- Tanya Rosenblat (Wesleyan University and IAS)
- CMPO, 2 June 2006
2Motivation
- We want to study social learning in the context
of how consumer preferences form. - How strong are social learning effects absolutely
and relatively compared to informative
advertising? - How strong are social influence effects (on
valuations) absolutely and relatively compared to
persuasive advertising? - Which agents are influential?
3Strong Social Learning
Agents communicate directly about the product,
sharing factual information I didnt buy it
because its not Mac compatible Ive heard Sony
makes the most reliable ones They have a lot of
vegetarian dishes on the menu
4Strong Social Learning
Weak Social Learning
Agents observe their friends consumption
decisions and enjoyment of products and make
inferences about the products attributes. Greg
got one for Christmas and I know he really liked
it These inferences should be sharper when
friends know their friends preferences well.
5Social Influence
Strong Social Learning
Weak Social Learning
- Agents observe their friends consumption
decisions and.... - Their private tastes are altered
- The status value of consuming the product is
altered
6Social Influence
Strong Social Learning
Weak Social Learning
Persuasive Advertising
Informative Advertising
Agents observe advertising for the product. They
may learn about objective features of the product
or be persuaded to like it or be persuaded of its
prestige value.
7Methodology basic paradigm
- Stage 1 Measure the network (Harvard
Undergraduates) - Stage 2 Distribute actual products and track
social learning
8Methodology
- Measuring the Social Network
9Measuring the Network
- Rather than surveys, agents play in a trivia game
- Leveraged popularity of www.thefacebook.com
- Membership rate at Harvard College over 90
- 95 weekly return rate
Data provided by the founders of thefacebook.com
10- Markus
- His Profile
- (Ad Space)
- His Friends
11Trivia Game Recruitment
- On login, each Harvard undergraduate member of
thefacebook.com saw an invitation to play in the
trivia game. - Subjects agree to an informed consent form now
we can email them! - Subjects list 10 friends about whom they want to
answer trivia questions. - This list of 10 people is what were interested
in (not their performance in the trivia game)
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13Trivia Game Trivia Questions
- Subjects list 10 friends this creates 10N
possible pairings. - Every night, new pairs are randomly selected by
the computer - Example Suppose Markus listed Tanya as one of
his 10 friends, and that this pairing gets
picked.
14Trivia Game Example
- Tanya (subject) gets an email asking her to log
in and answer a question about herself - Tanya logs in and answers, which of the
following kinds of music do you prefer?
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16Trivia Game Example (cont.)
- Once Tanya has answered, Markus gets an email
inviting him to log in and answer a question
about one of his friends. - After logging in, Markus has 20 seconds to answer
which of the following kinds of music does Tanya
prefer?
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18Trivia Game Example (cont.)
- If Markus answer is correct, he and Tanya are
entered together into a nightly drawing to win a
prize.
19Trivia Game Summary
- Subjects have incentives to list the 10 people
they are most likely to be able to answer trivia
questions about - This is our (implicit) definition of a friend
- This definition is suited for measuring social
learning about products. - Answers to trivia questions are unimportant
- ok if people game the answers as long as the
people its easiest to game with are the same as
those they know best. - Roommates were disallowed
- 20 second time limit to answer
- On average subjects got 50 of 4/5 answer
multiple choice questions right and many were
easy
20Recruitment
- In addition to invitations on login,
- Posters in all hallways
- Workers in dining halls with laptops to step
through signup - Personalized snail mail to all upper-class
students - Article in The Crimson on first grand prize
winner - Average acquisition cost per subject 2.50
21Network Data
- 23,600 links from participants
- 12,782 links between participants
- 6,880 of these symmetric (3,440 coordinated
friendships) - Similar to 2003 results
- Construct the network using or link definition
- 5576 out of 6389 undergraduates (87)
participated or were named - One giant cluster
- Average path length between participants 4.2
- Cluster coefficient for participants 17
- Lower than 2003 results because many named
friends are in different houses
22Number of Roommate links, friend (N1), indirect
friend (N2), and friends of distance 3 (N3) for
an average subject (OR network on all
participants of trivia game)
Type of Link Number of Links Ratio
Roommate .96 1
N1 7.68 8
N2 57.91 60.32
N3 347.14 361.6
23Methods in Comparison
- 2003 House Experiment in 2 undergraduate houses
- Email-data Sacerdote and Marmaris (QJE 2006)
- Mutual-friend methods with facebook data?
(Glaeser et al, QJE 2000)
24Methodology
25Seeding Information
- Elicit subjects initial valuations
- Center empirical estimates
- Decompose valuations (hedonics)
- Randomized treatments
- Distribute product samples
- Information / instructions
- Randomized advertising
- Print (Crimson) and online (thefacebook.com)
- Informative and persuasive
- Elicit subjects final valuations
26Example
- A hypothetical subject Paul might be exposed to
the following treatments - A friend of Pauls of social distance 2 used a
PDA - The friend was told about the PDAs instant
messenger capabilities - Paul saw an advertisement for the PDA in the
newspaper that emphasized its hip-ness - Paul did not see online advertising for the PDA
27Product Samples
- We want new products to maximize the potential
for social learning. - Want to vary products by
- Likely demographic appeal
- Potential for strong learning (need a manual?)
- Potential for weak learning and social influence
the buzz factor
28Durables
T-Mobile Sidekick II
Philips Key019 Digital Camcorder
Philips ShoqBox
29Perishables
Student Advantage Discount Card
Baptiste Studios Yoga Vouchers
Qdoba Meal Vouchers
30Step I Elicit Valuations
- We want to elicit valuations for a product
without telling subjects what the product is. - Our solution We treat a product as a vector of
attributes which span a space containing the
specific product. - We can elicit valuations for each attribute
without revealing product.
31Step I Configurators
- Familiar examples with posted menus of prices
- many computer manufacturers (e.g. Dell)
- some car manufacturers
- Here, subjects bid for features
- Baseline bid for featureless product
- Incremental bids for distinct features
32Constructed Bids
- Subjects told that either this bid or their bid
in the followup will be entered into a
uniform-price auction with equal probability - Construction
- Incentives bid as accurately as possible
- Extension interactions between features
33Feature descriptions
Feature bids
Baseline bid
34(20)
(50)
(35)
(150)
(150)
(250)
(Price)
35Distributions of Imputed Bids
- Results from configurators look sensible
- In each case, market prices lie between median
bid and upper tail - T-Mobile and Philips confirmed that demand curves
for their products are similar to results from
more traditional analysis
36Step 2 Randomized Product Trials
- Perishables
- ½ year Student Advantage cards
- 5 yoga vouchers
- 5 meal vouchers
- Durables
- Try out for approximately 4 weeks during end of
term
37Randomization
- Blocked by year of graduation, gender, and
residential house - Email invitations to come pick up samples
- Invitation times varied to vary strength of
exposure (April 26th May 3rd)
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39Info Treatments
- Varied information communicated verbally by
workers doing distribution - Information treatments correspond to product
features in our configurators (5 or 6 features
for each product). - Reinforced this information treatment with
reminder emails - Each treatment given with 50 probability to each
subject
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41Buzz Treatments
- Product-specific treatments without information
content - Intended to increase subjects enjoyment of the
product - Examples
- Subway tokens for yoga, Qdoba
- 5 free MP3s on ShoqBox
- Extra pre-paid balance on Sidekicks
- Special one-store subsidy on Student Advantage
cards - Given with 50 probability to each subject
42Step 2 Advertising
Online Advertising
- Delivered via thefacebook.com
- Mixed in with normal paid advertising
- 65 of subjects saw ads
- 232,736 impressions (approx. 300 per treated
subject) - 136 clicks (in line with averages)
43Advertising Content
- Content from sponsor companies
- Tweaked to vary informational content in line
with product features - Also non-informative versions
44Step 2 Advertising
Print Advertising
- Inlets in The Crimson, Harvards student
newspaper - One of nations largest student papers, daily
readership approx. 14,000 - Delivered to undergrad students rooms
- Inlets allow randomization across residential
houses
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47All ads for a product has the same style and
differed only in the informational content.
48Print advertising
- 4 inlets with two ads each.
- 3 ads emphasizing a single feature of a product.
- Residents in a house were exposed to either 2 or
3 impressions of the same print ad.
49Step 4 Final Valuations
- Subjects receive full product descriptions and
submit a second round of bids, which go into the
auctions with 50 probability - Subjects also
- Predict what the average bid will be
- Predict what a sample of their friends will bid
in the auction - Answer factual questions about each product
- Indicate their confidence in these answers
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52Eliciting Confidence Levels
- Meet Bob the Robot and his clones Bob 1 Bob
100 - Subjects are randomly paired with an (unknown)
Bob - Subjects indicated a cutoff Bob at which they
are indifferent about who should answer the
question - If assigned Bob is better than the cutoff, Bob
answers the question otherwise we use subjects
answer - Incentive-compatible mechanism to elicit
subjects belief that he/she will get the
question right
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55Analysis
56Analysis
- Stage I Check whether info and ad treatments
affected a subjects knowledge. - Stage II Use info treatments as instruments to
measure social learning.
57Analysis
- Stage I Check whether info and ad treatments
affected a subjects knowledge. - Product Group (PG) Likelihood of answering a
question about a feature correctly if primed
about that feature at distribution - Non-Product Group (NPG) Likelihood of answering
a question about a feature correctly if exposed
to informative advertising about that feature
58Stage I Effect of Info Treatments on Knowledge
(PG)
59Stage I Effect of Info Treatments on Knowledge
(PG)
94.2
85.2
60Stage I Effect of Info Treatments on Knowledge
(PG)
94.2
85.2
Subjects who received a product and were primed
on a Feature are about 9 more likely to answer
the question about the feature correctly.
61Stage I Info-Treatments
FCONFIDENCE FCONFIDENCE FCONFIDENCE FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER
(1) (2) (3) (4) (5) (6)
NUMTREATED .748 (.373) .766 (.505) .007 (.007) .007 (.007)
FTREATED 7.057 (.825) 7.087 (.825) 7.080 (.825) .082 (.015) .083 (.014) .085 (.014)
Intercept 85.468 (1.065) 85.361 (1.065) 85.645 (1.065) .838 (.019) .837 (.021) .856 (.010)
Fixed effects None RE FE None RE FE
N 1927 1927 1927 1930 1930 1930
R2 .054 .056 .058 .022 .023 .022
Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1
62Stage I Info-Treatments
FCONFIDENCE FCONFIDENCE FCONFIDENCE FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER
(1) (2) (3) (4) (5) (6)
NUMTREATED .748 (.373) .766 (.505) .007 (.007) .007 (.007)
FTREATED 7.057 (.825) 7.087 (.825) 7.080 (.825) .082 (.015) .083 (.014) .085 (.014)
Intercept 85.468 (1.065) 85.361 (1.065) 87.645 (1.065) .838 (.019) .837 (.021) .856 (.010)
Fixed effects None RE FE None RE FE
N 1927 1927 1927 1930 1930 1930
R2 .054 .056 .058 .022 .023 .022
Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1
Both confidence and knowledge increases with info
treatments.
63Stage I Effect of Online Ad on Knowledge (NPG)
Effect of online ads on subjects who did not
receive products or print ads.
64Stage I Effect of Online Ad on Knowledge (NPG)
73.5
71.0
64.7
Effect of online ads on subjects who did not
receive products or print ads.
65Stage I Effect of Online Ad on Knowledge (NPG)
73.5
71.0
64.7
Subjects who received online ads are about 5-8
more likely to answer the question about the
feature correctly.
Effect of online ads on subjects who did not
receive products or print ads.
66Stage I Effect of Print Ad on Knowledge (NPG)
Effect of print ads on subjects who did not
receive products or online ads.
67Stage I Effect of Print Ad on Knowledge (NPG)
79.8
71.3
64.8
Effect of print ads on subjects who did not
receive products or online ads.
68Stage I Effect of Print Ad on Knowledge (NPG)
79.8
71.3
64.8
Subjects who received print ads are about 8-15
more likely to answer the question about the
feature correctly. The effect is increasing in
intensity of exposure.
Effect of print ads on subjects who did not
receive products or online ads.
69Stage I Ad-Treatments
FCONFIDENCE FCONFIDENCE FCONFIDENCE FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER
(1) (2) (3) (4) (5) (6)
PIMPRESSIONS 1.108 (.698) 1.142 (1.133) -.022 (.012) -.022 (.014)
FIMPRESSIONS 2.278 (1.525) 2.198 (1.075) 2.182 (1.075) .121 (.026) .121 (.026) .120 (.025)
PCRIMSONNUMADS -.520 (.146) -.496 (.243) - .008 (.003) - .008 (.003)
FCRIMSONNUMADS 1.883 (.264) 1.659 (.187) 1.614 (.187) .052 (.005) .051 (.004) .048 (.004)
Intercept 63.496 (0.249) 63.509 (0.439) 63.144 (0.138) .650 (.004) .650 (.005) .640 (.003)
Fixed effects None RE FE None RE FE
N 22,959 22,959 22,959 22,995 22,995 22,995
R2 .003 .003 .004 .006 .007 .008
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
70Stage I Ad-Treatments
FCONFIDENCE FCONFIDENCE FCONFIDENCE FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER
(1) (2) (3) (4) (5) (6)
PIMPRESSIONS 1.108 (.698) 1.142 (1.133) -.022 (.012) -.022 (.014)
FIMPRESSIONS 2.278 (1.525) 2.198 (1.075) 2.182 (1.075) .121 (.026) .121 (.026) .120 (.025)
PCRIMSONNUMADS -.520 (.146) -.496 (.243) - .008 (.003) - .008 (.003)
FCRIMSONNUMADS 1.883 (.264) 1.659 (.187) 1.614 (.187) .052 (.005) .051 (.004) .048 (.004)
Intercept 63.496 (0.249) 63.509 (0.439) 63.144 (0.138) .650 (.004) .650 (.005) .640 (.003)
Fixed effects None RE FE None RE FE
N 22,959 22,959 22,959 22,995 22,995 22,995
R2 .003 .003 .004 .006 .007 .008
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
Both confidence and knowledge increases with ad
treatments.
71Stage I Buzz-Treatments
BID BID BID
All Products Services Gadgets
BUZZ BUZZ 8.504 (4.206) 1.516 (1.561) 23.706 (9.176)
NUMTREATED NUMTREATED 3.780 (1.886) .822 (.669) 5.837 (4.526)
N 373 373 227 146
R2 .019 .019 .01 .048
Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1
72Stage I Buzz-Treatments
BID BID BID
All Products Services Gadgets
BUZZ BUZZ 8.504 (4.206) 1.516 (1.561) 23.706 (9.176)
NUMTREATED NUMTREATED 3.780 (1.886) .822 (.669) 5.837 (4.526)
N 373 373 227 146
R2 .019 .019 .01 .048
Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1 Significance Levels 5 1
Buzz treatments raise valuations for gadgets.
73Analysis stage II
- Use successful first stage as instruments for
measuring the effects of social learning. - Regress confidence or correct answers of every
NPG member on sum friends knowledge (PG) at
various social distance using sum of info
treatments as instruments.
74Confidence
FCONFIDENCE FCONFIDENCE
(1) (2) (1) (2)
PGFCONFIDENCE_R .064 (.029) .057 (.031)
PGFCONFIDENCE_NW1 .040 (.013) .034 (.014)
PGFCONFIDENCE_NW2 .005 (.005) .008 (.005)
PGFCONFIDENCE_NW3 .003 (.001) .009 (.001)
Control for of Eligible NO YES
Intercept 59.628 (.826) 67.870 (1.197)
N 8,982 8,982
R2 0.018 0.045
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
75FCONFIDENCE
FCONFIDENCE FCONFIDENCE
(1) (2) (1) (2)
PGFCONFIDENCE_R .064 (.029) .057 (.031)
PGFCONFIDENCE_NW1 .040 (.013) .034 (.014)
PGFCONFIDENCE_NW2 .005 (.005) .008 (.005)
PGFCONFIDENCE_NW3 .003 (.001) .009 (.001)
Control for of Eligible NO YES
Intercept 59.628 (.826) 67.870 (1.197)
N 8,982 8,982
R2 0.018 0.045
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
76FCONFIDENCE
FCONFIDENCE FCONFIDENCE
(1) (2) (1) (2)
PGFCONFIDENCE_R .064 (.029) .057 (.031)
PGFCONFIDENCE_NW1 .040 (.013) .034 (.014)
PGFCONFIDENCE_NW2 .005 (.005) .008 (.005)
PGFCONFIDENCE_NW3 .003 (.001) .009 (.001)
Control for of Eligible NO YES
Intercept 59.628 (.826) 67.870 (1.197)
N 8,982 8,982
R2 0.018 0.045
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
Control for of subjects who were eligible to
receive products at distance R, NW1, NW2 and NW3.
77FCORRECTANSWER
FCORRECTANSWER FCORRECTANSWER
(1) (2) (1) (2)
PGFCORRECTANSWER_R .108 (.026) .070 (.030)
PGFCORRECTANSWER_NW1 .041 (.013) .018 (.014)
PGFCORRECTANSWER_NW2 .019 (.005) .020 (.005)
PGFCORRECTANSWER_NW3 .007 (.001) .018 (.002)
Control for of Eligible NO YES
Intercept .567 (.010) 0.696 (0.014)
N 9,006 9,006
R2 0.033 0.064
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
78FCORRECTANSWER
FCORRECTANSWER FCORRECTANSWER
(1) (2) (1) (2)
PGFCORRECTANSWER_R .108 (.026) .070 (.030)
PGFCORRECTANSWER_NW1 .041 (.013) .018 (.014)
PGFCORRECTANSWER_NW2 .019 (.005) .020 (.005)
PGFCORRECTANSWER_NW3 .007 (.001) .018 (.002)
Control for of Eligible NO YES
Intercept .567 (.010) 0.696 (0.014)
N 9,006 9,006
R2 0.033 0.064
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
79FCORRECTANSWER
FCORRECTANSWER FCORRECTANSWER
(1) (2) (1) (2)
PGFCORRECTANSWER_R .108 (.026) .070 (.030)
PGFCORRECTANSWER_NW1 .041 (.013) .018 (.014)
PGFCORRECTANSWER_NW2 .019 (.005) .020 (.005)
PGFCORRECTANSWER_NW3 .007 (.001) .018 (.002)
Control for of Eligible NO YES
Intercept .567 (.010) 0.696 (0.014)
N 9,006 9,006
R2 0.033 0.064
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
One standard deviation increase in each friends
knowledge (about 30) raises my knowledge by 1
to 2. The total effect is about 9 because
subjects are influenced by several treated
subjects on average.
80Alternative approach
- Regressing knowledge on friends knowledge only
measures average amount of social learning. - We can instead measure social learning
conditional on two subjects having reported to
have talked to each other (collected during
follow-up 350 NPG subjects listed specific PG
subjects whom they had talked to). - We exploit the fact that we both randomly
distributed products and randomized information
for each subject who received a product. - We assume that a NPG-subjects pre-information is
uncorrelated with the info treatment received by
the PG-subject whom he or she talks to about the
product. - This excludes the following situation If I know
that a Sidekick has AOL messenger I will
specifically seek out subjects who received a
product and whom we told about the AOL messenger
capability of the Sidekick.
81Effect of Info-Treated Friends on Knowledge (NPG)
Effect of PG-subjects info-treatment on
NPG-subjects knowledge (only for subjects
who Reported to have talked to specific PG
subject)
82Effect of Info-Treated Friends on Knowledge (NPG)
74.3
68.4
Effect of PG-subjects info-treatment on
NPG-subjects knowledge (only for subjects
who Reported to have talked to specific PG
subject and seen PG subject with product)
83Effect of Info-Treated Friends on Knowledge (NPG)
74.3
68.4
Subjects who reported to have talked to a friend
who had the product and whom they have seen use
the product are 6 more likely to correctly
answer a question about the feature if their
friend had received an info treatment.
Effect of PG-subjects info-treatment on
NPG-subjects knowledge (only for subjects
who Reported to have talked to specific PG
subject and seen PG subject with product)
84IV-Regression confidence in answer
FCONFIDENCE FCONFIDENCE FCONFIDENCE FCONFIDENCE
Talked about OR seen (all) Talked about OR seen (services) Talked about OR seen (gadget) Talked about AND seen
FR_FCONFIDENCE .142 (.054) .124 (.100) .151 (.064) .184 (.074)
Intercept 61.617 (5.626) 67.697 (10.124) 59.495 (6.795) 57.503 (7.790)
N 1,912 400 1,511 1,207
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
85IV-Regression confidence in answer
FCONFIDENCE FCONFIDENCE FCONFIDENCE FCONFIDENCE
Talked about OR seen (all) Talked about OR seen (services) Talked about OR seen (gadget) Talked about AND seen
FR_FCONFIDENCE .142 (.054) .124 (.100) .151 (.064) .184 (.074)
Intercept 61.617 (5.626) 67.697 (10.124) 59.495 (6.795) 57.503 (7.790)
N 1,912 400 1,511 1,207
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
86IV-Regression - knowledge
FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER
Talked about OR seen (all) Talked about OR seen (services) Talked about OR seen (gadget) Talked about AND seen
FR_FCORRECTANSWER .180 (.067) .011 (.106) .246 (.077) .325 (.112)
Intercept .567 (.068) .890 (.107) .461 (.077) .400 (.109)
N 1,919 400 1,519 1,209
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
87IV-Regression - knowledge
FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER FCORRECTANSWER
Talked about OR seen (all) Talked about OR seen (services) Talked about OR seen (gadget) Talked about AND seen
FR_FCORRECTANSWER .180 (.067) .011 (.106) .246 (.077) .325 (.112)
Intercept .567 (.068) .890 (.107) .461 (.077) .400 (.109)
N 1,919 400 1,519 1,209
Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1 Significance Levels 10 5 1
Info-treatment of friend is used as instrument.
Estimated social-learning effects are about 3-15
times greater than the average effects estimated
across all subjects.
88Observations
- Conditional on having communicated about the
product social learning seems strongest for
gadgets rather than services. - This might indicate that visual observation is
important for social learning. - It is also possible that our feature set for
gadgets provides a more natural decomposition of
real-world communication than our feature set for
services.
89Analysis
90Model
- An untreated (uninformed) subject has a
probability p of interacting with some treated
(informed) subject. - The interaction probability p depends on the
social distance between uninformed and informed
subject. - We distinguish three types of social distances
room mates (M), direct friends (NW1) and indirect
friends (NW2).
91Model
- We define knowledge as the subjective or
objective probability of answering a question
about the product correctly. - If an informed and uninformed subject interact
the knowledge of the informed subject is
transferred to the uninformed subject (informed
treated with a product).
92Model
- We define knowledge as the subjective or
objective probability of answering a question
about the product correctly. - If an informed and uninformed subject interact
the knowledge of the informed subject is
transferred to the uninformed subject (informed
treated with a product).
After interacting the uninformed subject has the
same probability of answering a question
correctly as the informed subject.
93Model
- Assume that the knowledge of an informed subject
is and the knowledge of an uninformed
subject is . - Assume that the uninformeds probability of
interacting with some informed subject is X.
Then we can express the final expected knowledge
of the uninformed agent as
94What is X?
- Assume that the uninformed agent has
room mates who were offered a product,
direct friends and indirect friends.
Then we can express X as
95What is X?
- Assume that the uninformed agent has
room mates who were offered a product,
direct friends and indirect friends.
Then we can express X as
The probability of interacting with some informed
subject is 1 minus the probability of interacting
with none of them.
96Model
- We observe and in the
followup survey.
97Model
- We observe and in the
followup survey. - We do not observe because we
cannot do a baseline quiz without revealing the
product.
98Model
- We observe and in the
followup survey. - However, we do not observe
because we cannot do a baseline quiz without
revealing the product. - Moreover, we expect the information of
uninformed agents to vary with the number of
eligible neighbors (and hence the number of
neighbors who were offered a treatment) due to
selection.
99We instead compare agents in similar cells
100We instead compare untreated agents in similar
cells
We say the green subject lives in a (1,4,4) cell
to indicate that she has one treated room-mate,
and four treated NW1 and NW2 friends AND she has
at least one more eligible (but non-treated) NW1
friend (indicated by plus sign).
101For example, compare a (1,4,4) cell with a
(1,5,4) cell
102For example, compare a (1,4,4) cell with a
(1,5,4) cell
The green agent on the right faces the same
neighborhood as the agent on the left but the
randomization turned one eligible, untreated
agent into a treated agent.
103Model
- By dividing expression () for all agents in cell
(1,5,4) by expression () for all agents in cell
(1,4,4) we obtain the marginal impact of
treating one more NW1 neighbor
104Model
- By dividing expression () for all agents in cell
(1,5,4) by expression () for all agents in cell
(1,4,4) we obtain the marginal impact of
treating one more NW1 neighbor
Since we only have finitely many observations per
cell we get an estimate for p. For each marginal
comparison between two neighboring cells we get a
new estimate. From this we can construct an
estimate for p and a confidence interval.
105Model
- By dividing expression () for all agents in cell
(1,5,4) by expression () for all agents in cell
(1,4,4) we obtain the marginal impact of
treating one more NW1 neighbor
By comparing neighboring cells we are essentially
differing out the unobserved knowledge of the
uninformed agent.
106Analysis
107Results
- We are estimating the interaction probabilities
separately for each product. - We use both subjective knowledge (What is the
probability that you can answer a Yes/No question
correctly?) and objective knowledge (Actual
share of correctly answered questions in the
quiz).
108Results - Card
109Results - Card
SE (0.16) (0.21)
(0.02) (0.04)
(0.09) (0.03)
110Results - Yoga
SE (0.19) (0.23)
(0.04) (0.03)
(0.03) (0.05)
111Results Restaurant
SE (0.03) (0.08)
(0.03) (0.04)
(0.02) (0.01)
112Results Camcorder
SE (0.02) (0.02)
(0.02) (0.03)
(0.02) (0.02)
113Results MP3
SE (0.06) (0.07)
(0.03) (0.04)
(0.02) (0.01)
114Results PDA
SE (0.04) (0.07)
(0.03) (0.04)
(0.02) (0.02)
115Results
- For private products the interaction
probability for NW2 neighbors is usually
insignificant. - For public products the NW2 effect is small but
significant. - NW2 neighborhoods are also 7-times as large as
NW1 neighborhoods! Therefore, the expected number
of influenced NW2 agents can be large.
116Who is influenced the most by social learning
(close or distant neighbors)?(expected number of
interactions taking Nhood size into account
subjective knowledge and significant
probabilities only)
M NW1 NW2 TOTAL
CARD 0.50 1.12 1.62
YOGA 0.60 1.60 1.20
FOOD 0.24 0.80 1.04
CAM. 0.65 1.12 2.85 4.62
SOUND 0.50 0.64 2.28 3.42
PDA 0.45 1.44 2.85 4.74
117Who is influenced the most by social learning
(close or distant neighbors)?(expected number of
interactions taking Nhood size into account
subjective knowledge and significant
probabilities only)
M NW1 NW2 TOTAL
CARD 0.50 1.12 1.62
YOGA 0.60 1.60 1.20
FOOD 0.24 0.80 1.04
CAM. 0.65 1.12 2.85 4.62
SOUND 0.50 0.64 2.28 3.42
PDA 0.45 1.44 2.85 4.74
Although there is a greater probability to
interact with close agents the expected number of
interactions increases with distance.
118Summary
- Three methodological contributions
- Applicationspecific measure of social
connectedness - Hedonic analysis using configurators
- Measure of confidence using the Bobs
- Advertising increases information.
- Social learning is as important as effects of
advertising. - Future work
- Disentangle weak and strong social learning
channels - Measure social influence.