April 2013
Beginner
574 pages
16h 31m
English
Content preview from Game Theory: An Introduction, 2nd Edition
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Index
2 × 2 bimatrix games
3 × 3 symmetric game
Aj and iA
E(X, Y)
E(X, j)=X Aj
E(i, Y)=iA· YT
–core
3 player cooperative games
exact formulas
additive game
allocation
definition
allocation of taxes
asymptotic stability
auctions
application to Bertrand model
complete information
definitions
Dutch
English
English and Dutch
Nash equilibrium
first-price sealed-bid
optimal bidding
general bidding function
need for a reserve price
need for middleman
optimal buy-it-now price
private value
reserve price
revenue equivalence theorem
symmetric, private value
take-it-or-leave-it rule
variance of selling price
Banzhaf-Coleman index
bargaining
feasible set
KS solution
Nash axioms
Nash’s theorem
safety, security, status quo point
the nonlinear program
threat security point
threat strategies
baseball game
battle of the sexes game
Bayesian game
Beer or Quiche
Bertrand model of production
best response
and ESS
Stackelberg game
best response set
and rational reaction set
definition
best response strategy
best threat strategies
bimatrix
Braess’s paradox
buy-it-now price
calculus
and interior saddles
calculus method
and the equations for Nash equilibrium
finding interior Nash points
finding interior saddle points
carriers of a game
cat versus rat game
characteristic function
(0, 1) normalization
bimatrix games
definition
from nonzero sum game
general formula from nonzero sum
scheduling problem
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