This book deals with 18 voting procedures used or proposed for use in elections resulting in the choice of a single winner. These procedures are evaluated in terms of their ability to avoid paradoxical outcomes. Together with a companion volume by the same authors, Monotonicity Failures...

In the altruism model of voting, the social benefits of an electoral outcome is considered to offset the low probability of casting a decisive vote, thereby overcoming the voting paradox. One problem with this model is that it assumes both a clearly superior electoral outcome for society and...

We introduce a procedurally fair rule to study a situation where people disagree about the value of three alternatives in the way captured by the voting paradox. The rule allows people to select a final collective ranking by submitting a bid vector with six components (the six possible rankings...

Both Hayek and Arrow provide arguments about the inability of the vote process to yield a coherent social choice. Hayek demonstrated that planning is incompatible with democracy; its coherence requires dictatorship. Arrow demonstrated that voting fails to produce rational social choices; social...