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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 5EE

Textbook Problem

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Create a voting system with three members that is a dictatorship. Calculate the Banzhaf power index for each voter for this system using the alternative definition.

To determine

Create a voting system with three members that is a dictatorship Calculate the Banzhaf power index for each voter for this system using the alternative definition.

**Given Information:**

Banzhaf Power indices

**Concept used:**

â€ƒâ€ƒ

**Calculation:**

Consider three people

Winning Coalition | Number of Votes | Critical Votes |

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 |

Blocking Coalition table is

Winning Coalition | Number of Votes | Number of remaining votes | Critical Votes |

â€ƒâ€ƒ | â€ƒâ€ƒ |

Mathematical Excursions (MindTap Course List)

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