Voting paradoxes can arise in any election involving three or more candidates; though they come in many different forms, they can all be summed up in a single statement: Even if every voter is individually rational, society as a whole is not. The most...

. Let three issues A, B, C, be voted on by three voters whose respective orders of preference are ABC, BCA, CAB. If the first vote is on two issues, and the second vote on the winner and the third issue, the third issue will always win, so that the...

The voting paradox (also known as Condorcet's paradox or the paradox of voting) is a situation noted by the Marquis de Condorcet in the late 18th century, in which collective preferences can be cyclic (i.e. not transitive), even if the preferences of...

The paradox of non-majority winners emerging from the aggregation of individual preferences into a collective voice using the Condorcet criterion is investigated. Specifically, 'probabilities of Condorcet winners and intransitive aggregate orders' for different groups of voters are estimated. Using a computer simulation, it was...

Back in 1984 I wrote about the travails of being a twin -- about how I never got to have my own birthday and how things had recently gotten even worse because, as it happened, Ronald Reagan had also been born on Feb. 6....