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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 15ES

Textbook Problem

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Music Education A music department Consists of a hand director and a music teacher. Decisions on motions are made by voting. If both members vote in favor of a motion, it passes. If both members vote against a motion. It fails. In the event of a tie vote, the principal of the school votes to break the tie. For this voting scheme. Determine the Banzhaf power index for each department member and for the principa!. *Hint:* See Example 3, page 214.

To determine

Determine the Banzhaf power index for each department member and for the principal. Hint: See Example

**Given Information:**

Music Education: A music department consists of a band director and a music teacher.

Decisions on motions are made by voting. If both members vote in favor of a motion, it passes. If both members vote against a motion, it fails. In the event of a tie vote, the principal of the school votes to break the tie.

**Concept used:**

â€ƒâ€ƒ

**Calculation:**

Consider

Winning Coalition(Without principal) | Critical voters | Winning Coalition(Without Voting) | Critical Voters |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

By examining the table, we see that

Mathematical Excursions (MindTap Course List)

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