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Game-theory based trust experiments

Game theory based trust experiments

relating reputation management with

t

t

d t

t

thi

trust and trustworthiness

Cl d

Claudia Keser

Professor of Microeconomics University of Göttingen Germany University of Göttingen, Germany

FIA, Stockholm

November 2007

(2)

Let us consider this game

B 10 X 10 X Buyer 10 10 - X 10 - X X Y Buyer x Î 3x Seller 10 Y 3X Seller 3X - Y 10 Seller

(3)

This “trust game” provides measures

This trust game provides measures

of trust and trustworthiness

I

b b

Investment by buyer

=

measure of trust

measure of trust

Relative return by seller

(4)

Subgame perfect equilibrium solution

of the trust game predicts no transaction

Assume:

homo oeconomicus type

Backward induction:

Buyer: No investment Î No trust

Seller: No return Î No trustworthiness

Seller: No return Î No trustworthiness

d hi i

i

ffi i

l i

(5)

Experimental Economics

p

Examines human decision making in

Examines human decision making in

t ll d l b

t

i

t

t ll d l b

t

i

t

controlled laboratory environments

controlled laboratory environments

Test validity of theories Business applications: Complement field How do institution

design & social

i t Develop new theories (bounded Complement field studies Cheaper, quicker, more controlled environments influence behavior and economic outcomes ?

rationality) more controlled,

less risky outcomes ?

(6)

Experimental economics results on the

p

trust game show

some trust:

… some trust:

• Buyers tend to invest positive amounts

T

t l

l d

d

lt

d

t

• Trust level depends on culture, gender etc.

… trust does not really pay

:

• Average return by sellers

• Average return by sellers

(7)

T

i

li

k

(K

2003)

Trust in online markets (Keser 2003)

Why do so many people trade on informal online markets ? Involves risks trust plays an important role

(8)
(9)
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Trust and Reputation Systems

Trust and Reputation Systems

Can we define a set of rules on how to design efficient Can we define a set of rules on how to design efficient reputation systems ?

R i i id t f f d t h t i

• Recurring incidents of fraud suggest shortcomings • No standard reputation system

Analyze impact of reputation management on trust and trustworthiness in an experimental

( kh C b

trust game (Berg, Dickhaut, McCabe, Games & Economic Behavior 1995)

Define trust as the expectation of another person’s goodwill

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Extended trust game

B 10 X 10 X Buyer 10 10 - X 10 - X X Y Buyer Knowing seller’s x Î 3x reputation Seller 10 Y 3X Seller 10 3X - Y 10 3X Seller

(12)

Experimental treatments

Baseline treatment: 20-fold repetition of trust game

among “strangers” (random re-matching of buyers among strangers (random re-matching of buyers and sellers)

Reputation treatments (extension of baseline p ( treatment):

Buyer rates seller’s cooperation based on the return

as: positive

as: positive

neutral negative

B k ll ’ i i ( )

Buyer knows seller’s previous rating(s)

Short-run reputation: most recent rating

Long run reputation: distribution of previous ratings

Long-run reputation: distribution of previous ratings, most recent recent

Partners treatment: 20-fold repetition of trust game Partners treatment: 20 fold repetition of trust game

(13)
(14)

Organization of the experiments

g

p

CIRANO, Montreal, French, ,

Written instructions, read aloud Computerized questionnaire

Computerized questionnaire Cash payment

Cash payment

- based on cumulative payoffs average $30 1 to 1 ½ hours - average $30, 1 to 1 ½ hours

5 buyers and 5 sellers per strangers session

# Ob ti 8 b li

# Observations: 8 baseline

12 short-run reputation

12 long run reputation 12 long-run reputation

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Results: trust

Average investment (std): 3.91 (3.53) Median investment: 3 9 10 6 7 8 st m e n t 4 5 e rage I n v e 2 3 Av e 0 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 P i d Period Baseline

(16)

Results: trust

Average investment (std): 3.91 5.15 (3.71) Median investment: 3 5 9 10 6 7 8 st m e n t 4 5 e rage I n v e 2 3 Av e 0 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 P i d Period

(17)

Results: trust

Average investment (std): 3.91 5.15 6.05 (3.80) Median investment: 3 5 7 9 10 6 7 8 st m e n t 4 5 e rage I n v e 2 3 Av e 0 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 P i d Period

(18)

Results: trust

Average investment (std): 3.91 5.15 6.05 5.93 (4.15) Median investment: 3 5 7 7 8 9 10 6 7 8 v es tm en t 3 4 5 v er age I n v 1 2 3 A v 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Period

Baseline Long-run reputation Short-run reputation Partners

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Results: trust

Results: trust

0.45 0 30 0.35 0.40 y 0.20 0.25 0.30 F re que nc y 0.05 0.10 0.15 Re la ti v e 0.00 0 1 2 3 4 5 6 7 8 9 10 I t t L l Investment Level Baseline Long-run reputation Short-run reputation Partners

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Results: trustworthiness

Relative return (std): 0.32 (0.24) 90% 100% 60% 70% 80% e tu rn 40% 50% R el at iv e R e 20% 30% R 0% 10% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 P i d Period Baseline

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Results: trustworthiness

Relative return (std): 0.32 0.46 (0.26) 90% 100% 60% 70% 80% e tu rn 40% 50% R el at iv e R e 20% 30% R 0% 10% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 P i d Period

(22)

Results: trustworthiness

Relative return (std): 0.32 0.46 0.48 (0.23) 90% 100% 60% 70% 80% e tu rn 40% 50% R el at iv e R e 20% 30% R 0% 10% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 P i d Period

(23)

Results: trustworthiness

Relative return (std): 0.31 0.46 0.48 0.48 (0.24) 80% 90% 100% 60% 70% 80% R et ur n 30% 40% 50% Re la ti v e R 10% 20% 30% 0% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Period

Baseline Long-run reputation Short-run reputation Partners

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Results: profits

Buyer

Buyer SellerSeller

Baseline

Baseline 9.909.90 17.9317.93

Short

Short--run reputationrun reputation 11.9511.95 18.3618.36

Long

Long--run reputationrun reputation 12.8312.83 19.2719.27 Partners

Partners 13.1013.10 18.7618.76

ƒƒ

Sellers gain significantly more than buyersSellers gain significantly more than buyers

Partners

Partners 13.1013.10 18.7618.76

ƒƒ

Sellers gain significantly more than buyersSellers gain significantly more than buyers

ƒƒ

Buyers gain significantly more in reputation Buyers gain significantly more in reputation and partners treatments than in baseline

and partners treatments than in baseline and partners treatments than in baseline and partners treatments than in baseline

ƒƒ

Sellers do Sellers do notnot gain significantly more in gain significantly more in t ti d t t t t th i t ti d t t t t th i reputation and partners treatments than in reputation and partners treatments than in baseline

(25)

Results: reputation effect on investment

Most recent rating:

Short-run reputation:p

Positive rating has a positive effect Negative rating has a negative effectg g g

Long-run reputation treatment:

Only positive rating has a positive effect O y pos t e at g as a pos t e e ect

Rating # Investment

Sh t N ti 432 3 62

Short-run

reputation NegativeNeutral

Positive 432 200 503 3.62 5.08 6.61 Long-run

reputation NegativeNeutral Positive 386 211 537 4.82 5.89 7.12 Positive 537 7.12

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Results: reputation effect on investment

Distribution of previous ratings:

O

ll ti

f

i

Overall rating score: sum of previous scores,

where

each positive rating: +1

each negative rating: -1

each neutral rating: 0

Positive overall rating has a positive effect

Negative overall rating has a negative effect

Negative overall rating has a negative effect

Rating score

Rating score

#

#

Investment

Investment

Rating score

Rating score

#

#

Investment

Investment

Negative

Negative

Zero

Zero

293

293

167

167

4.23

4.23

5 62

5 62

Zero

Zero

Positive

Positive

167

167

293

293

5.62

5.62

6.87

6.87

(27)

Results: rating

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Results: rating

Norms of cooperation?

ƒ

Equal split of transaction:Equal split of transaction: relative return 1/2relative return 1/2

ƒ

Equal profits: relative return 2/3

‰

Positive rating if more than 1/2 returned (62%, 62%)

‰

Neutral rating if about 1/2 returned (50% 51%)

‰

Neutral rating if about 1/2 returned (50%, 51%)

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Conclusion

Conclusion

Introduction of a reputation system into a strangers environment

l d t t

l d t t

… increases trust and trustworthiness … leads to an outcome … leads to an outcome similar to a partners similar to a partners situation situation … is likely to play an important role in the Internet of Services

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Outlook

9 Game-theory based experiments as a tool for measuring t t

trust 9

References

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