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— Steve Jobs —










A B
A B
























10000 ⇥ n
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A B




















1X
i=0
i
= 1 + + 2
+ 3
+ · · · =
1
1
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1X
i=0
a i
= a + a + a 2
+ a 3
+ · · · =
a
1
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A B
1 + ( 1) ⇤ + ( 1) ⇤ 2
+ ( 1) ⇤ 3
+ · · · =
1
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A B 15 + ( 5) ⇤ + ( 5) 2
+ ( 5) 3
+ · · · = 15 +
5
1
=
15 + 10
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0 + ( 5) ⇤ + ( 5) 2
+ ( 5) 3
+ · · · =
5
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A B
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1/5<latexit sha1_base64="dJBFO+niznB1nDq0xACPMF5/50M=">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</latexit><latexit sha1_base64="dJBFO+niznB1nDq0xACPMF5/50M=">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</latexit><latexit sha1_base64="dJBFO+niznB1nDq0xACPMF5/50M=">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</latexit><latexit sha1_base64="dJBFO+niznB1nDq0xACPMF5/50M=">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</latexit><latexit sha1_base64="VFffL8ZbKxfA3R4uEeHndhlFLKo=">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</latexit>











 A B
























A B








A B
(1 ) ( 1) + ( 1) + · · · + ( 1) t
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Re:ゲーム理論入門 第8回 -繰り返しゲーム・フォーク定理-

  • 1.
  • 2. “Your time is limited, so don’t waste it living someone else’s life.” — Steve Jobs —
  • 4. A B
  • 5. A B
  • 6.
  • 7. 
 
 
 
 
 
 
 
 
 
 
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  • 8. A B
  • 9.
  • 12. 
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  • 13. A B 1 + ( 1) ⇤ + ( 1) ⇤ 2 + ( 1) ⇤ 3 + · · · = 1 1<latexit sha1_base64="RW1aWEbAVXLvT2xrTXwdWuki4Tc=">AAAC7XichVJLa9RQGD1JfbTjo2PtQhBlcKj4wOHLKLQjCEW7cNmH0xZqW5LrbQ3NJCG5M1CH/gH34kIRFEoRf0Y3/gEX/QkiuKngxoUnd6aoi6kXku95znfuI0ijMDciB447dOLkqdPDI6UzZ8+dHy1fGFvMk3amdFMlUZItB36uozDWTROaSC+nmfZbQaSXgq1HRX2po7M8TOInZjvVqy1/Mw43QuUbppLyDO7Aw23csPYmbmEXz6ARwcAfmF9D/ZjaXdaKTMI4xwM8xQYyVhS6FrFD69H7G7WzXq5KrdGo1z2pWMebOnIakxWvJnZV0V+zSXmPxMUQhTZaJIpJpEjnc2iOFY4QpMytcpxPAQahrWsKKBHbZpdmRyFsi/9NRiv9bMy44MwtWnFKxC8jsoIJ+SIf5VA+yyf5Kr8GcnUtR6FlmzboYXW6Pvry0sLP/6JatAbP/6CO1Wx4xFNWa0jtqc0Uu1A9fOfF68OF+/MT3evyQb5R/3s5kH3uIO78ULtzev4NSryAo1OuDHYW6zVPat7cver0w/5VDOMyrvExeJjENB5jFk3O/e6MO1ecq27ivnLfuu96ra7Tx1zEP8vd+w3sjaHS</latexit><latexit sha1_base64="RW1aWEbAVXLvT2xrTXwdWuki4Tc=">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</latexit><latexit sha1_base64="XiF6VFpIE3Sy8dgv88bMik8QQpM=">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</latexit><latexit sha1_base64="RW1aWEbAVXLvT2xrTXwdWuki4Tc=">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</latexit><latexit sha1_base64="XiF6VFpIE3Sy8dgv88bMik8QQpM=">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</latexit><latexit sha1_base64="3yL4zV63A3kbw7aYtw1Hzzyh9SU=">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</latexit>
  • 14. A B 15 + ( 5) ⇤ + ( 5) 2 + ( 5) 3 + · · · = 15 + 5 1 = 15 + 10 1<latexit sha1_base64="chtOTddR10qvBshVi4++QOSVPeE=">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</latexit><latexit 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sha1_base64="/4RBIU9SX72iMiZhVlSSUpySoAM=">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</latexit><latexit sha1_base64="/55DAK2AvPpZCDy+Kgigy2Qsoi8=">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</latexit>
  • 15. A B 5 , 15 + 10<latexit sha1_base64="FxnGjFu2SGY6VfkhgfxGDfYomM0=">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</latexit><latexit 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  • 19. 
 
 
 
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  • 20. A B1/5<latexit sha1_base64="rtBK6Ekq/YO0jGTIJp0nGHCPsc0=">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</latexit><latexit sha1_base64="Q1a265KPTV6gpLd7Hs7Z0veTrsk=">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</latexit><latexit sha1_base64="cS9izQFR+sZzfRu2n9vhLACyIwY=">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</latexit><latexit sha1_base64="Q1a265KPTV6gpLd7Hs7Z0veTrsk=">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</latexit><latexit sha1_base64="cS9izQFR+sZzfRu2n9vhLACyIwY=">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</latexit><latexit sha1_base64="yia0nX14FXMet9w20AGrS7K6UGw=">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</latexit>
  • 23.
  • 24. See you next time