Problem

Before John Banzhaf began addressing the problem of measuring the power of a voter, L. S...

Before John Banzhaf began addressing the problem of measuring the power of a voter, L. S. Penrose created a method for measuring the amount of influence a voter has. Penrose’s key idea was that the more powerful a voter is, the more often the outcome will go the way the voter wants. The Penrose power index gives the probability that a voter can be decisive, while the Banzhaf power index gives the relative power of each voter. Research the work of L. S. Penrose. How is his power index calculated? How are the Penrose power index and the Banzhaf power index related?

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