|
| |
| Haris Aziz |
| |
| ''Condorcet's Paradox and the Median Voter Theorem for Randomized Social Choice'' |
| ( 2015, Vol. 35 No.1 ) |
| |
| |
| Condorcet's paradox is one of the most prominent results in social choice theory. It says that there may not exist any alternative that a net majority prefers over every other alternative.
When outcomes need not be deterministic alternatives, we show that a similar paradox still exists even if preferences are dichotomous. Thus relaxing the requirement of discrete alternatives does not help in circumventing Condorcet's paradox.
On the other hand, we show that a fractional/randomized version of Black's Median Voter Theorem still holds for single-peaked preferences. |
| |
| |
| Keywords: Social choice theory, Condorcet's Paradox, Median Voter Theorem, Social decision function |
JEL: D7 - Analysis of Collective Decision-Making: General
|
| |
| Manuscript Received : Dec 21 2014 | | Manuscript Accepted : Mar 28 2015 |
|
