natural conditions that are necessary for strategy-proofness: monotonicity and reshuffling invariance. We remark that they are …

monotonicity axiom which requires that the collective preference become more rational when the individual preferences become more … monotonicity axiom and the other standard assumptions introduced by Arrow (1963): unrestricted domain, weak Pareto, independence of …

individual monotonicity is equivalent to monotonicity, a necessary condition for Nash implementation. The result shows an …

various families of rules represented by systems of powers. In particular, we show that a rule satisfies monotonicity …

various families of rules represented by systems of powers. Critical axioms are monotonicity, independence, and symmetric …

and global monotonicity of power indices are introduced. Shapley-Shubik, Banzhaf-Coleman, and Holler-Packel indices are … analyzed and it is proved that while Shapley-Shubik index satisfies both local and global monotonicity property, Banzhaf …-Coleman satisfies only local monotonicity without being globally monotonic and Holler-Packel index satisfies neither local nor global …