The exact lower bound for the Coleman index of the power of a collectivity for a special class of simple majority games

✍ Scribed by Sonali Roy

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 230 KB
• Volume: 56
• Category: Article
• ISSN: 0165-4896
• DOI: 10.1016/j.mathsocsci.2008.05.005

✦ Synopsis

Coleman [Coleman, J.S., 1971. Control of collectivities and the power of a collectivity to act. In: Leberman, B. (Ed.), Social Choice. Gordon and Breach, New York] proposed a measure of the power that a decision-making body has to pass any bill that comes before it. He termed it ''the power of a collectivity to act''. In this paper we provide some numerical bounds on the values that this measure can take when the collectivity takes decisions under simple majority voting rule.