This book provides an evaluation of 18 voting procedures in terms of the most important monotonicity-related criteria in fixed and variable electorates. All voting procedures studied aim at electing one out of several candidates given the voters' preferences over the candidates. In addition to (strict) monotonicity failures, the vulnerability of the procedures to variation of the no-show paradoxes is discussed. All vulnerabilities are exemplified and explained. The occurrence of the no-show paradoxes is related to the presence or absence of a Condorcet winner. The primary readership of this book are scholars and students in the area of social choice.
First book devoted to monotonicity-related properties of voting rules Provides an evaluation of 18 voting procedures in terms of the most important monotonicity-related criteria in fixed and variable electorates Reveals the dilemma of non-motonotic procedures as a basis for elections Includes supplementary material: sn.pub/extras
Dan S. Felsenthal
Voting Elections Voting rules Voting paradoxes Monotonicity Monotonicity failures Condorcet extensions No-show paradoxes P-TOP paradox P-BOT paradox