Monotonicity of power and power measures
Monotonicity is commonly considered an essential requirement for power measures; violation of local monotonicity or related postulates supposedly disqualifies an index as a valid yardstick for measuring power. This paper questions if such claims are really warranted. In the light of features of real-world collective decision making such as coalition formation processes, ideological affinities, a priori unions, and strategic interaction, standard notions of monotonicity are too narrowly defined. A power measure should be able to indicate that power is non-monotonic in a given dimension of playersâ€™ resources if â€“ given a decision environment and plausible assumptions about behaviour â€“ itis non-monotonic. Copyright Kluwer Academic Publishers 2004
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- Steven Brams & Michael Jones & D. Kilgour, 2005.
"Forming stable coalitions: The process matters,"
Springer, vol. 125(1), pages 67-94, July.
- Napel,S. & Widgren,M., 2002. "Power measurement as sensitivity analysis : a unified approach," Center for Mathematical Economics Working Papers 345, Center for Mathematical Economics, Bielefeld University.
- Manfred Holler & Stefan Napel, 2005. "Local monotonicity of power: Axiom or just a property?," Quality & Quantity: International Journal of Methodology, Springer, vol. 38(5), pages 637-647, January.
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