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 14:21, 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]