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Probability Density Functions
Cumulative Distribution Functions
10
1.0
0.9
9
0.8
8
0.7
7
0.6
Å
f(Price)
F(Price)
Æ
wB = 0.9
0.5
0.4
wB = 0.75
Å
wB = 0.9
Çw = 0.75
B
6
5
Çw = 0.5
4
wB = 0.5
0.3
Çw = 0.1
B
3
wB = 0.25
Å
0.2
B
wB = 0.25
2
wB = 0.1
1
0.1
Ä
0.0
0.5
Ä
0.6
Ä
0.7
Ä
0.8
Price
Ä
0.9
Ä
0
0.5
1.0
0.6
0.7
0.8
0.9
1.0
Price
1.0
1.0
0.9
0.9
0.8
0.8
Price
Price
u,79a)V#YN8 H _kP=OM]È
V#79:97KlYO79P+rX)Y «BF#É B¯H)É B¯EF#e PJ#<
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0.7
0.7
0.6
0.6
Ð
0.5
0
Ñ
2
Ò
Ó
Ô
Õ
Ð
0.5
4
6
8
Time (millions)
5 MY sellers, w B=0.75
10
0
Ñ
2
Ö
Ò
Ó
4
6
Time (millions)
5 DF sellers, w B=0.75
Õ
Ô
8
10
Ö
u,79a)V#YN8 I _{×
YO79Q;8W<6$JP)U79Q;=rXYTP$x F Á[Â =O8Z:K:98;YN={P)J<]ldx F
¥Tu=O8Z:K:98;YN=k<#VYO79J#aWLOM8kcYO=OL HC U79:9:97KXJ{LO79U[8k=OLN8;b#="R
0.5
0.5
0.4
0.4
0.3
0.3
Profit
Ø
Profit
Ø
0.2
0.2
0.1
0.1
0.0
Ð
0
Ñ
2
Ò
Ó
Ô
0.0
4
6
8
Time (millions)
5 MY sellers, w B=0.75
Õ
10
Ð
0
Ñ
2
Ö
Ò
Ó
4
6
Time (millions)
5 DF sellers, w B=0.75
Õ
Ô
8
10
Ö
u,79a)V#YN8 G _×
YOXcdLT<#6J#P)U[7KQZ=.rX)YP$x F Á[Â =N8;:9:K8ZYO=TP)J#<ldx F
¥Tu=O8Z:K:98;YN=k<#VYO79J#aWLOM8kcYO=OL HC U79:9:97KXJ{LO79U[8k=OLN8;b#="R
1.0
1.0
0.9
0.9
0.8
0.8
0.7
0.7
0.6
0.6
F(Price)
Û
F(Price)
6798;:9<#=>A?@ BDCE CF)GHI)F 7KJLNM#79=7KJ=OLOPJ#Q;8)R1SM#8T=O79UWV#:9P)LN7KXJ
YO8Z=OV#:9LO=WU[P)LNQ\M]LNM#79=^QZ:KX=O8;:96_[LOM#8[P`)8;YNP)a)8[b#YOXcdLWb8;YWLO79U8
=OLN8;b79= C R C)F#H"F#ef M7KQgMW79=dhgV=OLiX`8;YjL f 79Q;8LNM#8kP`8;YOPa)8b#YNXcdL
X)lLOP)79J#8Z<m`79P+LOM#8Ta)PU8gnLOM8;X)YN8;LO79QTb#YO79Q;79J#a+=OLNYOPLO8;a6$R
o 79J#Q;8pbYO79Q;8;=qV#Q;LOVP)LO8X`)8ZYmLN79U8 79L79=Xr^79JLO8;YN8;=OLpLNX
e
Q;XUb#V#LN8LOM#8Tb#YNX)l#Pl#79:97KL6s<#79=OLOYN79l#V#LO79XJXrtbYO79Q;8;="Rju,79adRv#wPx
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