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TOPICY:ZERO SUM GAMESSECURE PAYOFF
~Worst payoff fora playerin each possible strategy (el que seguro que
gana da igual lo que juegue el otto
~
IEFSecure Payoff!
MAXMINIMIZATION
INPURE
~WorstPayoff:Wi(Si) minvi(si,sj):si escoge strategy Si, =
al menos recibe wi(si) daigual 5; delotro.
~
Pure Maxmin/Security Strategy:gives the playerthe besto fthe c ases:Max
worst Wilsi) Security Payoff
=
Finding it:Mirotabla Marco cada
·
1. menor payoff en strategy.
2. El dice la security strategy.
+
de esos me
MIXED STRATEGIES
~
(Ki-1) -
Simplex:Seto fmixed strategies of playeri 8;
2- simplex (3 points)
1
1. SimpleX
simplex:2 strategies & line is strategies (0, )
z
Ex:1 -
·
mixture t he 2.
⑧ ·
that
are a of
I i
·
2- simple
siz
5;3
MAXMINIMIZATION
INMIXED
~Wiloil:lowestexpected payoff Ican getifchoosing mixed strategy oi (da igual lo que el otro, al menos se lleva wiloi))
Wi(vi) minvi(8i,5j)
=
~
Security Strategy (5i):M a x Wicoi):gives security
payoff
·
Finding it:1. I find worst payoff foreach the
of other's pure strategy.
2. Igualo las 2ecuaciones para encontraro que define 01 (01,1
=
-
01)
cual es el payoff
worst
W1(01) min[vi(81, ),
=
vi(01, B73
3. I find security payoff:sustituyo o en 1 de las 2 y lo que de
Graphically (graph forplayer1)
2 lines:van de 0 0
=
a 0 1
=
~ Eno
=
0: cadalineasale del Payoff B (1
= -
0)
~ En =1 :Marco Payoffs A
=
0
Intersection:Maxmin o & security payoff (y axis)
- -
Security Strategy:el valor Value t he
of
game:security
payoff of
player1
de o encontrado. 0 (0,1 0)
=
-
V V1
= = -
V2
Cuando descubro o, sustituyo en 1 de las eps y me
da V.
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