– –
2018/03/07
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Table of Contents
1
(Campbell et al. 1960; 1989)
1.
2.
3. (+ )
2
1. (Downs 1957)
• Westholm (1997, 2001) Claassen (2007) Tomz and
Van Houweling (2008) Lacy and Paolino (2010)
2. (Rabinowitz and Macdonald 1989)
• Macdonald, Listhaug, and Rabinowitz (1991)
Macdonald, Rabinowitz, and Listhaug (1998)
3. !
• Lewis and King (1999) Merrill and Grofman (1999)
Weber (2015)
3
2
•
•
•
• : ˙ ˙ ˙ ˙
×
• :
˙ ˙ ˙ (neutral point)
•
4
:
•
•
•
• ( )
• (projection)
⇒ (Lewis and King 1999)
9
A B
1
⃝ A ⃝ B
10
10 ( )
1 9 6
2 7
3 8
4 9
5 10
10
Ci,A i A
(Ci,A ∈ {0,1})
Di i
(Di ∈ {−1,0,1})
Ii i
(Di ∈ {0,1,2,...,7})
ω
(0 ≤ ω ≤ 1)
Ci,A ∼ Bernoulli(θA
i ),
logit(θA
i ) = β0 +β1(Ui,A −Ui,B),
Ui,c = −|P
adj.
i −P
adj.
i,c |,
P
adj.
i = Di
Ii−1
∑
j=0
ωj
,
ω ∼ Normal+
(0,102
),
β ∼ Normal(0,102
) (1)
11
(ω)
( ( 5 ))
90% HPDI 90% HPDI
MAP MAP
1 0.897 0.864 0.925 6 0.921 0.891 0.951
2 1.017 0.986 1.052 7 0.940 0.908 0.970
3 0.937 0.900 0.966 8 0.918 0.889 0.951
4 0.920 0.886 0.952 9 0.909 0.873 0.940
5 0.935 0.901 0.969 10 0.957 0.924 0.989
2 Pr(ω < 1) > 0.9
12
1. (Downs 1957)
2. (Rabinowitz and Macdonald 1989)
3. Representatinal Policy Leadership (Iversen 1994)
4. (Grofman 1985)
5.
• κ (Cohen 1960) WAIC (Watanabe 2010)
13
vs.
• Merrill (1995) Maddens (1996)
•
↑
• Merrill (1995)
• ( )
⇔ ( )
• (2005)
•
15
•
• (Deli Carpini and Keeter 1997)
• :
• & : ( 1985)
•
• :
• :
• :
•
16
: Luskin (1987)
DK
(IRT )
• (1985) (2006)
•
+
17
:
ω
• ωi,j: j i
(j = {1,2,3,4};i = {1,2,...,N};ω ∈ [0,1])
logit(ωi,j) = γ0,j +γ1Sophistication+γ2Engagement
γ3Detached+γ4Engagement·Detached,
γ0 ∼ Normal(2.669,0.490),
γ1∼4 ∼ Normal(0,104
). (2)
18
(CSES) 33
• ≃ ⇐
• ⇒
• ≃ ⇐
• & ⇒
• ≃ ⇐
• ⇒
21
:
• ωi: i
• j[i]: i j
ωi ∼ Beta(θj[i]φj[i],(1−θj[i])φj[i]),
logit(θj[i]) = γ0 +logENPj[i] +logPressj[i] +logLastj[i],
φ ∼ Normal+
(0,104
),
γ ∼ Normal(ζγ
,τγ
),
ζ ∼ Cauchy(0,104
),
τ ∼ Cauchy+
(0,104
). (3)
22
:
( 1)
1.
•
2. ( ) : →
• j i
• (random-effect)
•
(three-level)
• (2 ∼ 9 ) ← ←
22
•
⇔
•
•
• ↑
• ( )
•
• :
• :
25
1.
2.
3.
⇒ ABM
争点空間の
伸縮
既存の政党
の分極化
第三政党の
登場 両端
第三政党の
登場 中道
既存の政党
の収斂
第三政党の
消滅
循環
26
•
•
•
• ?
•
• :
• :
•
•
• JES
27

争点空間の歪みと有権者の選択: 伸縮近接性モデルによる争点投票理論の統合

  • 1.
  • 2.
  • 5.
    (Campbell et al.1960; 1989) 1. 2. 3. (+ ) 2
  • 6.
    1. (Downs 1957) •Westholm (1997, 2001) Claassen (2007) Tomz and Van Houweling (2008) Lacy and Paolino (2010) 2. (Rabinowitz and Macdonald 1989) • Macdonald, Listhaug, and Rabinowitz (1991) Macdonald, Rabinowitz, and Listhaug (1998) 3. ! • Lewis and King (1999) Merrill and Grofman (1999) Weber (2015) 3
  • 8.
    2 • • • • : ˙˙ ˙ ˙ × • : ˙ ˙ ˙ (neutral point) • 4
  • 18.
    : • • • • ( ) •(projection) ⇒ (Lewis and King 1999) 9
  • 21.
    A B 1 ⃝ A⃝ B 10
  • 22.
    10 ( ) 19 6 2 7 3 8 4 9 5 10 10
  • 23.
    Ci,A i A (Ci,A∈ {0,1}) Di i (Di ∈ {−1,0,1}) Ii i (Di ∈ {0,1,2,...,7}) ω (0 ≤ ω ≤ 1) Ci,A ∼ Bernoulli(θA i ), logit(θA i ) = β0 +β1(Ui,A −Ui,B), Ui,c = −|P adj. i −P adj. i,c |, P adj. i = Di Ii−1 ∑ j=0 ωj , ω ∼ Normal+ (0,102 ), β ∼ Normal(0,102 ) (1) 11
  • 24.
    (ω) ( ( 5)) 90% HPDI 90% HPDI MAP MAP 1 0.897 0.864 0.925 6 0.921 0.891 0.951 2 1.017 0.986 1.052 7 0.940 0.908 0.970 3 0.937 0.900 0.966 8 0.918 0.889 0.951 4 0.920 0.886 0.952 9 0.909 0.873 0.940 5 0.935 0.901 0.969 10 0.957 0.924 0.989 2 Pr(ω < 1) > 0.9 12
  • 25.
    1. (Downs 1957) 2.(Rabinowitz and Macdonald 1989) 3. Representatinal Policy Leadership (Iversen 1994) 4. (Grofman 1985) 5. • κ (Cohen 1960) WAIC (Watanabe 2010) 13
  • 30.
    vs. • Merrill (1995)Maddens (1996) • ↑ • Merrill (1995) • ( ) ⇔ ( ) • (2005) • 15
  • 31.
    • • (Deli Carpiniand Keeter 1997) • : • & : ( 1985) • • : • : • : • 16
  • 32.
    : Luskin (1987) DK (IRT) • (1985) (2006) • + 17
  • 33.
    : ω • ωi,j: ji (j = {1,2,3,4};i = {1,2,...,N};ω ∈ [0,1]) logit(ωi,j) = γ0,j +γ1Sophistication+γ2Engagement γ3Detached+γ4Engagement·Detached, γ0 ∼ Normal(2.669,0.490), γ1∼4 ∼ Normal(0,104 ). (2) 18
  • 36.
    (CSES) 33 • ≃⇐ • ⇒ • ≃ ⇐ • & ⇒ • ≃ ⇐ • ⇒ 21
  • 37.
    : • ωi: i •j[i]: i j ωi ∼ Beta(θj[i]φj[i],(1−θj[i])φj[i]), logit(θj[i]) = γ0 +logENPj[i] +logPressj[i] +logLastj[i], φ ∼ Normal+ (0,104 ), γ ∼ Normal(ζγ ,τγ ), ζ ∼ Cauchy(0,104 ), τ ∼ Cauchy+ (0,104 ). (3) 22
  • 38.
    : ( 1) 1. • 2. () : → • j i • (random-effect) • (three-level) • (2 ∼ 9 ) ← ← 22
  • 42.
    • ⇔ • • • ↑ • () • • : • : 25
  • 45.
  • 46.
    • • • • ? • • : •: • • • JES 27