#2 3 USA FCC Milgrom Willson FCC FCC USA NFS Market Design USA CO A. Roth #4
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- ゆきさ なかきむら
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1 #1 ( ) Yahoo! 4. #2
2 #2 3 USA FCC Milgrom Willson FCC FCC USA NFS Market Design USA CO A. Roth #4
3 #3 #1 #5 # #6
4 #4 # #
5 # Leonid Hurwicz Eric S. Maskin Roger B. Myerson 9 #10
6 #6 1 #11 12
7 #
8 # v y y L L<y v v <y H y>h v L x y> v x y>0 x y>0 0 0 v H x y>0 x y>0 x y<0 0 5 OR #16
9 # v y y L L<y v v <y H y>h v Lx y> v x y>0 x y>0 0 0 v Hx y>0 x y>0 x y<0 0 #18
10 # Vickrey(1961) (90? #20
11 #11 #21 [0,+ ) f(z) F(z) v b z y Π = y > b ( v b) f ( z) dz z y 5 OR #22
12 #12 ( ) v (v) Π = ( v b) f ( y) dy = ( v b) F( β β ( y) > b 1 ( b)) Π b b= β ( v) = 0 # #24
13 #13 [0,a] v kv (0<k<1) k y ky b b P [ ky < b] = P[ y < ] = k b Π = ( v b) ak b ak 1 b * = 1 v k = 2 2 #25 [0,a] (a 2000) 26
14 # i.i.d #27 Yahoo 28
15 #15 Yahoo 29 Yahoo! 30
16 #16 Yahoo! 31 Yahoo!
17 #17 Yahoo! 200 A 1000 A 200 ( 100 A 1000 B 500 A 600 C 2000 C
18 #
19 # Yahoo!
20 #
21 #21 41 #42
22 #22 (private independent value) (interdependent value) (affiliated value) #43 i v i vi = v + ε i ε i 2 N(0, σ ) v 2 v v 1 #44
23 #23 Winner s Curse ( 5 1 v 1 =5 1 5 v 1 =5, v 2 =4, v 3 =3, v 4 =2, v 1 = v + v2 + v3 + v4 + v5 E[ v] = 5 1 = 3 Winner s Curse #45 #46
24 #24, reservation price) posted price, buy price) (last minute bidding) (soft close) (hard #47 48
25 #25 Yahoo #49 Yes! --- No! 50
26 #26 OR 51 END 52
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2/50 Auction: Theory and Practice 3 / 50 (WTO) 10 SDR ,600 Auction: Theory and Practice 4 / 50 2
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2 / 38 (WTO) 1 SDR 27 1,6 Auction: Theory and Practice 3 / 38 Auction: Theory and Practice 4 / 38 2
stakagi@econ.hokudai.ac.jp June 19, 29 2............................................................................ 3.................................................................. 4 5......................................................................
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2 / 5 Auction: Theory and Practice 3 / 5 (WTO) 1 SDR 27 1,6 Auction: Theory and Practice 4 / 5 2
stakagi@econ.hokudai.ac.jp June 22, 212 2................................................................ 3...................................................... 4............................................................
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