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Social Interactions and Endogenous Association - Department of ...

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Figure 3. The Effect <strong>of</strong> Increasing Crowding Out.<br />

A. Active <strong>Association</strong>s B. (Weighted) Mean Characteristics <strong>of</strong><br />

Associates<br />

A<br />

π<br />

H|H<br />

A<br />

x H<br />

C. High-Low Difference in (Weighted)<br />

Mean Characteristics <strong>of</strong> Associates<br />

x<br />

A<br />

H<br />

− x<br />

A<br />

L<br />

∂U<br />

∂π<br />

A<br />

H | H<br />

= 0<br />

π<br />

H<br />

x H<br />

∂U<br />

∂π<br />

A<br />

H | H<br />

= 0<br />

A Max<br />

x<br />

1<br />

π<br />

H<br />

1<br />

π H<br />

High<br />

Reg 1<br />

High<br />

Reg 2<br />

1<br />

High<br />

Reg 3<br />

π H<br />

Reg 1 Reg 2 Reg 3<br />

x L<br />

Reg 1 Reg 2 Reg 3<br />

Low<br />

Reg 3<br />

Low<br />

Reg 2<br />

Low<br />

Reg 1<br />

41

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