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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 25ES

Textbook Problem

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Consider the weighted voting system

a. Compute the Banzhaf power index for each voter in this system.

b. Voter B has a weight of 56 compared with only 4 for voter A. yet the results of part a show that voter A and voter B both have the same Banzhaf power index. Explain why it seems reasonable. in this voting system, to assign voters A and B the same Banzhaf power index.

To determine

**(a)**

Compute the Banzhaf power index Vor each voter in this system.

**Given Information:**

Three people

**Concept used:**

â€ƒâ€ƒ

**Calculation:**

Consider three people

Therefore,

Winning Coalition | Number of Votes | Critical Voters |

â€ƒâ€ƒ | â€ƒâ€ƒ â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ |

To determine

**(b)**

Voter

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