Outline Motivation and Modeling Philosophy Empirical Alternative I: Model of Cognitive Hierarchy (Camerer, Ho, and Chong, QJE, 2004) Empirical Alternative II: Quantal Response Equilibrium (McKelvey and Palfrey, GEB, 1995) Empirical Alternative III: Model of Noisy Introspection (Goeree and Holt, AER, 2001)
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Outline Motivation and Modeling Philosophy Empirical Alternative I: Model of Cognitive Hierarchy (Camerer, Ho, and Chong, QJE, 2004) Empirical Alternative.
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Outline
Motivation and Modeling Philosophy
Empirical Alternative I: Model of Cognitive Hierarchy (Camerer, Ho, and Chong, QJE, 2004)
Empirical Alternative II: Quantal Response Equilibrium (McKelvey and Palfrey, GEB, 1995)
Empirical Alternative III: Model of Noisy Introspection (Goeree and Holt, AER, 2001)
Modeling Principles
Principle Nash CH QRE NI
Strategic Thinking
Best Response
Mutual Consistency
Quantal Response Equilibrium
)( where1
ijij
J
k
x
x
ij
x
e
ei
ij
ij
Player i choosing strategy j with probability ij in equilibrium.
xij is i’s expected payoff of choosing j given that others choosetheir strategy according to equilibrium profile .
The values of depends on .
Example 1
q (1-q)
p(1-p)
Nash Equilibrium q (1-q)
p(1-p)
1.1141 q = 0.1238 (1- q) q = 0.101.1141 (1-p) = 1.1141 p p = 0.5