Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power

@article{Barua2009MinimalaxiomCO,
  title={Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power},
  author={Rana Barua and Satya R. Chakravarty and Palash Sarkar},
  journal={Mathematical Social Sciences},
  year={2009},
  volume={58},
  pages={367-375}
}
Coleman [Coleman, J.S., 1971. Control of collectives and the power of a collectivity to act. In: Lieberman, B. (Ed.), Social Choice. Gordon and Breach, New York, pp. 269-298] suggested two indices of voting power, power to prevent an action and power to initiate an action. This paper develops two-axiom (and hence, minimal) characterizations of both the indices. We also show that similar characterizations can be done for other indices. 

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