Upload
rthoang
View
213
Download
0
Embed Size (px)
Citation preview
8/9/2019 Exam Sample Game Theory 2013
1/4
!"#$ "&' (&)*+#",(*& $-*&*#(-./(&"0 $1"#
2"&3"+4 5678
9&.,+3-,(*&.:
;$+ (& ?&@0(.> *+ (& /+$&->;"A$ 8 >*3+. ,* "&.=$+ ,>$ $1"#B C"&"@$ 4*3+ ,(#$ $))(-($&,04;D* &*, )*+@$, ,* =+(,$ 4*3+ &"#$ *& ,>$ $1"#
!"EF G*(&,.H/(&' "00 ,>$ I".> $J3(0(K+(3# (& ,>$ )*00*=(&@ 5;G0"4$+. @"#$
L$), M(@>,
NG 8O7 7O7
D*=& 6O7 5O8
!#EF G*(&,.H
P*&.('$+ ,>$ )*00*=(&@ Q,"-R$0K$+@;L$"'$+.>(G @"#$
7B /(+# 7 '$-('$. *& (,. G+*'3-,(*& 0$A$0 J75B /(+# 5 *K.$+A$. J7 "&' '$-('$. *& (,. G+*'3-,(*& 0$A$0 J58B S>$ )(+#. .$00 J3"&,(,($. J( ", G+(-$ TU7;VO =>$+$ V (. ,>$ ,*,"0 J3"&,(,4 .3GG0($'
Q3GG*.$ ,>", ,>$ )(+#. >"A$ &* G+*'3-,(*& -*.,B
/(&' ,>$ Q3K@"#$ G$+)$-, *3,-*#$ "&' ,>$ Q3K@"#$ T$+)$-, I".> $J3(0(K+(3# *) ,>(.@"#$B
!$EF G*(&,.H
/(&' ,>$ I".> $J3(0(K+(3# "&' ,>$ Q3K@"#$ T$+)$-, I".> $J3(0(K+(3# (& ,>$ )*00*=(&@@"#$BW>4 (. (, 3.$)30 ,* 3.$ Q3K@"#$ T$+)$-, I".> ?J3(0(K+(3# (&.,$"' *) I".> ?J3(0(K+(3#X
! !
! #
$$
%
&&
!
!
#
$
!
!
%
%
$ &
&
8/9/2019 Exam Sample Game Theory 2013
2/4
!%EF G*(&,.H
7B !(A$ " +$"0;=*+0' $1"#G0$ *) " .(@&"00(&@ @"#$ .(,3",(*&B5B /(&' ,>$ T$+)$-,;Y"4$.("& $J3(0(K+(3# (& ,>$ )*00*=(&@ @"#$
!&EF G*(&,.HP*&.('$+ ,>$ )*00*=(&@ (&-$&,(A$ G+*K0$#:
S>$ )(+# *))$+. " +$="+' G"-R"@$ ,* ,>$ =*+R$+Z
S>$ =*+R$+ "--$G,. *+ +$[$-,. ,>$ *))$+Zo 9) ,>$ =*+R$+ +$[$-,$' ,>$ *))$+O >$ K$-*#$. .$0);$#G0*4$' ", ="@$ = 6Zo 9) ,>$ =*+R$+ "--$G,$' ,>$ *))$+O >$ '$-('$. *& (,. $))*+, 0$A$0B S>$ =*+R$+ >".
,>$ ->*(-$ K$,=$$& =*+R(&@ >"+' E$U7H *+ K$(&@ 0"\4 E$U6HB W*+R(&@ >"+'
(&A*0A$. " '(.3,(0(,4 $J3"0 ,* !B Y$(&@ 0"\4 >". &* '(.3,(0(,4Z
T+*'3-,(*& (. +$"0(\$'B 9) ,>$ =*+R$+ >". =*+R$' >"+'O G+*'3-,(*& (. $J3"0 ,* 4B 9),>$ =*+R$+ >". K$$& 0"\4O G+*'3-,(*& (. $J3"0 ,* 4 =(,> G+*K"K(0(,4 G "&' 6*,>$+=(.$B
9& ,>(. G+*K0$#O ,>$ G+*'3-,(*& 0$A$0 E4 *+ 6H (. *K.$+A"K0$ K3, ,>$ $))*+, (. &*,B
7B W>", =*30' K$ ,>$ .,+3-,3+$ *) " G*..(K0$ +$="+' G"-R"@$ ,>", =*30' #*,(A",$,>$ =*+R$+ ,* =*+R >"+'X
5B W+(,$ '*=& ,>$ (&-$&,(A$ "&' G"+,(-(G",(*& -*&.,+"(&,. "&' )(&' ,>$ *G,(#"0="@$. )*+ ,>$ =*+R$+B P*##$&, K+($)04 *& 4*3+ +$.30,.B
8B Q3GG*.$ ,>", ,>$ =*+R$+ (. G+*,$-,$' K4 0(#(,$' 0("K(0(,4 "&' -"&&*, K$ *))$+$' "="@$ K$0*= =6B /(&' ,>$ *G,(#"0 ="@$. "&' ,>$ -*&'(,(*& 3&'$+ =>(-> =*+R(&@>"+' (. *G,(#"0 )+*# ,>$ )(+#]. G*(&, *) A($=B
!
#
!
#
!
#
!
#
$%
$%
&'
&' &(
&()*+#*,
)*+#*,
-./!,*0*1*23*, 0*1*23*,
'45
(46
646
(4'
74'
646
'4(
'4'
89:
8';9:
8
8/9/2019 Exam Sample Game Theory 2013
3/4
!"#$ "&' (&)*+#",(*& $-*&*#(-.
/(&"0 $1"#^3@3.,3. 5678
9&.,+3-,(*&.:;$+ (& ?&@0(.> *+ (& /+$&->;"A$ 8 >*3+. ,* "&.=$+ ,>$ $1"#B C"&"@$ 4*3+ ,(#$ $))(-($&,04;D* &*, )*+@$, ,* =+(,$ 4*3+ &"#$ *& ,>$ $1"#
!"EF G*(&,.H/(&' "00 ,>$ I".> $J3(0(K+(3# (& ,>$ )*00*=(&@ 5;G0"4$+. @"#$
L$), M(@>,
NG 6O6 _O_
D*=& `Oa 5Oa
!#EF G*(&,.H
S=* G0"4$+. K"+@"(& *A$+ ,>$ .>"+(&@ *) 7bB S>$ K"+@"(&(&@ (. *+@"&(\$' ". )*00*=.:
7B T0"4$+ 7 *))$+. " .>"+$ E7;.7H *) ,>$ 7b ,* T0"4$+ 5B 9) T0"4$+ 5 "--$G,. ,>$ *))$+O,>$ @"#$ (. *A$+B 9) T0"4$+ 5 +$[$-,. ,>$ *))$+O #*A$ ,* ,>$ &$1, .,"@$Z
5B T0"4$+ 5 *))$+. " .>"+$ .5 *) ,>$ 7b ,* T0"4$+ 7B 9) T0"4$+ 7 "--$G,. ,>$ *))$+O ,>$@"#$ (. *A$+B 9) T0"4$+ 7 +$[$-,. ,>$ *))$+O #*A$ ,* ,>$ &$1, .,"@$Z
8B T0"4$+ 7 +$-$(A$. ,>$ 7bB
Q3GG*.$ ,>", ,>$ ,=* G0"4$+. .>"+$ ,>$ ."#$ '(.-*3&, )"-,*+ "B /(&' ,>$ Q3K@"#$G$+)$-, *3,-*#$ *) ,>(. @"#$B
!$EF G*(&,.H
/(&' ,>$ I".> $J3(0(K+(3# "&' ,>$ Q3K@"#$ T$+)$-, I".> $J3(0(K+(3# (& ,>$ )*00*=(&@@"#$BW>4 (. (, 3.$)30 ,* 3.$ Q3K@"#$ T$+)$-, I".> ?J3(0(K+(3# (&.,$"' *) I".> ?J3(0(K+(3#X
! !
! #
##
$
%%
!
#
$
%
#
#
%
$
8/9/2019 Exam Sample Game Theory 2013
4/4
!% EFG*(&,.H
P*&.('$+ " )(+., G+(-$ .$"0$';K(' "3-,(*& =(,> I G"+,(-(G"&,.B ?"-> G0"4$+ (U7OcOI >". "G+(A",$ A"03",(*& A( )*+ ,>$ *K[$-, )*+ ."0$ (&'$G$&'$&,04 '+"=& )+*# " 3&()*+#'(.,+(K3,(*& *& ,>$ d6O7e (&,$+A"0B ?"-> G0"4$+ R&*=. (,. *=& A"03",(*& *) ,>$ *K[$-,
K3, &*, ,>$ A"03",(*& *) ,>$ *,>$+ G0"4$+.B7B /(&' ,>$ Y"4$.("& I".> ?J3(0(K+(3# *) ,>(. @"#$B5B f*= '*$. ,>$ K(''(&@ K$>"A(*3+ $A*0A$ =(,> IX Y+($)04 -*##$&, *& ,>",B
!& EF G*(&,.H
P*&.('$+ ,>$ .$-*&';>"&' -"+ #"+R$,B Q$00$+. >"A$ $(,>$+ " >(@> *+ " 0*= J3"0(,4 -"+ E"0$#*&H )*+ ."0$B Q$00$+. *) " >(@> J3"0(,4 -"+ "+$ (& G+*G*+,(*& !(& ,>$ G*G30",(*&BS>$ A"03$ *) " >(@> J3"0(,4 -"+ (. $J3"0 ,* 76 )*+ " .$00$+ "&' ,* 7a )*+ " K34$+B S>(.#$"&. ,>", " K34$+ "--$G,. ,* G"4 3G ,* 7a )*+ " >(@> J3"0(,4 -"+ =>(0$ " .$00$+ "@+$$. ,*.$00 )*+ " G+(-$ "K*A$ 76B S>$ A"03$ *) " 0$#*& (. $J3"0 ,* 8 )*+ " .$00$+ "&' ,* a )*+ "K34$+BY34$+. '* &*, *K.$+A$ ,>$ J3"0(,4 *) " -"+ )*+ ."0$ =>(0$ ,>$ .$00$+ *KA(*3.04 '*$.BP*#G$,(,(*& K$,=$$& K34$+. (#G0($. ,>", ,>$ #"+R$, G+(-$ (. $J3"0 ,* ,>$ K34$+].$1G$-,$' A"03$B
/(&' ,>$ #"+R$, *3,-*#$ E)(&' "& "&.=$+ )*+ "00 A"03$. *) JHB 9. ,>(. #"+R$, $))(-($&,X?1G0"(&B