Difference between revisions of "Messner, M. and M. Polborn (2004), Voting on Majority Rules"

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Return to [[BPP Field Exam Papers 2012]]
 
Return to [[BPP Field Exam Papers 2012]]
  
==Intergenerational Conflict===
+
===Intergenerational Conflict===
 
 
 
*Voters born in continuous time and live for length 1
 
*Voters born in continuous time and live for length 1
 
*Deaths equal birth, so continuous mass
 
*Deaths equal birth, so continuous mass
 
*Some chance of reform opportunity  
 
*Some chance of reform opportunity  
*Reforms cost, c, yeild value v element of [0, <math> \infty</math>
+
*Reforms cost, c, yeild value v element of [0, <math>\infty</math>]
 +
 
 +
====Results====
 +
*At any given time, median voter will be happy with simply majority
 +
*However, median voter is only median for a split second, so if constitutional moment arises, he will choose super-majority
 +
*While median voter prefer voting rule of <math>r(t_{m})=2c</math> for a current project, he prefers <math>r(t_{m})=4c</math> to decide on all future projects.
 +
*rule of <math>r(t_{m})=4c</math> corresponds to <math>t_{s}=frac{3}{4}>frac{1}{2}</math>

Revision as of 15:21, 16 May 2012

Return to BPP Field Exam Papers 2012

Intergenerational Conflict

  • Voters born in continuous time and live for length 1
  • Deaths equal birth, so continuous mass
  • Some chance of reform opportunity
  • Reforms cost, c, yeild value v element of [0, [math]\infty[/math]]

Results

  • At any given time, median voter will be happy with simply majority
  • However, median voter is only median for a split second, so if constitutional moment arises, he will choose super-majority
  • While median voter prefer voting rule of [math]r(t_{m})=2c[/math] for a current project, he prefers [math]r(t_{m})=4c[/math] to decide on all future projects.
  • rule of [math]r(t_{m})=4c[/math] corresponds to [math]t_{s}=frac{3}{4}\gt frac{1}{2}[/math]