Jump to ContentJump to Main Navigation
Does Torture Work?$

John W. Schiemann

Print publication date: 2015

Print ISBN-13: 9780190262365

Published to Oxford Scholarship Online: November 2015

DOI: 10.1093/acprof:oso/9780190262365.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2016. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy). Subscriber: null; date: 06 December 2016

(p.265) Appendix B Comparative Statics Analysis

(p.265) Appendix B Comparative Statics Analysis

Source:
Does Torture Work?
Author(s):

John W. Schiemann

Publisher:
Oxford University Press

This appendix supports the comparative statics results in Chapter 7 by establishing the signs of the derivatives of the thresholds in Appendix A.2 with respect to their component parameters.

B.1 From Equation (A.5), qˆ=vk

qˆv=1k>0,qˆk=1k2<0.

B.2 From Equation (A.2), fˆ=rcu(r+a)

fˆr=a+cu(r+a)2>0,fˆc=1u(r+a)<0,fˆa=rcu(r+a)2<0,fˆu=rcu2(r+a)<0.

(p.266) B.3 From Equation (A.3), f=rcr+a

fr=a+c(r+a)2>0,fc=1r+a<0,fa=cr(r+a)2<0.

B.4 From Equation (A.4), pI<rcc+apRp

pr=PRc+a>0,pc=PRr+a(c+a)2<0,pa=pRrc(c+a)2<0,ppR=rca+c>0.

B.5 From Equation (A.6), pI<rcr+apˆ

pˆr=a+c(a+r)2>0,pˆc=1r+a<0,pˆa=cr(r+a)2<0.

(p.267) B.6 From Equation (A.7), f<pC(rc)+pI(ac)pC(r+a)f˜

f˜r=(pC+pI)(a+c)pc(r+a)2>0,f˜c=pC+pIpc(r+a)<0,f˜a=(pI+pC)(cr)pC(r+a)2<0,f˜pC=pI(a+c)pC2(r+a)>0,f˜pI=a+cpC(r+a)<0.