Week 6
Bayesian Games
Ch. 9.1-9.5
Static game
Battle of the sexes
• Player 1 would like to match player 2’s actions
• Player 2’s preferences are unknown
◦ State 1: player 2 would like to match player 1’s actions
◦ State 2: player 2 would like to mismatch
• The state is known to player 2, but not player 1 who only knows probabilities
B S B S
13,113,51
B12,110,01 PL haveprofitabled eviation
doesn't
5 o.o 1,2 510,1 10
PrwallIT
IB zit v s lT
I s
Prw IT No when
deviations
profitable
BRzbiB.ws 5 15.15.131
Brakesw s BR1515.4 B
pl2doesn'thaveprofitabledeviation
Brics__Bwi B
Brakes.ws
ayyy
In ipypygyyygpygy.gg
mm
N 1Wiwe
prlw.lu BsterewaluilB.si
B 210 d Uwalsals Bwa
B w
s I it2oo 10.0.2
Ago
II
B 100
w
g
1,201
s
MINE
Vals Blue l a sa's
B 5 B at Valseswa za
t a za
B12.110 B 13016.1
310,1110
Y s so
5 o.o 1,2 V B IT2BOCIBI l A 2801101 2811H artit tellth ri r g
s ITLOBtlllBDci.itornery ayyy
Prwi IT PrwallIT
validity
Check
git El TE0,43 BMSNE
I it s
Bayesian Games
Ch. 9.1-9.5
Static game
Battle of the sexes
• Player 1 would like to match player 2’s actions
• Player 2’s preferences are unknown
◦ State 1: player 2 would like to match player 1’s actions
◦ State 2: player 2 would like to mismatch
• The state is known to player 2, but not player 1 who only knows probabilities
B S B S
13,113,51
B12,110,01 PL haveprofitabled eviation
doesn't
5 o.o 1,2 510,1 10
PrwallIT
IB zit v s lT
I s
Prw IT No when
deviations
profitable
BRzbiB.ws 5 15.15.131
Brakesw s BR1515.4 B
pl2doesn'thaveprofitabledeviation
Brics__Bwi B
Brakes.ws
ayyy
In ipypygyyygpygy.gg
mm
N 1Wiwe
prlw.lu BsterewaluilB.si
B 210 d Uwalsals Bwa
B w
s I it2oo 10.0.2
Ago
II
B 100
w
g
1,201
s
MINE
Vals Blue l a sa's
B 5 B at Valseswa za
t a za
B12.110 B 13016.1
310,1110
Y s so
5 o.o 1,2 V B IT2BOCIBI l A 2801101 2811H artit tellth ri r g
s ITLOBtlllBDci.itornery ayyy
Prwi IT PrwallIT
validity
Check
git El TE0,43 BMSNE
I it s
