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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 29ES

Textbook Problem

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Voter Intimidation and Tampering Consider the voting system

a. Intimidation is used to force B to vote exactly as A. Thus the original

The weight of A’s vote is now 2 instead of 1. Does this mean that *BPI*(A) has doubled from 0.2 to 0.4? Explain.

b. Voter C tampers with the voting software so that the original

The weight of C’s vote is now 2 instead of 1. Does this mean that *BPI*(C) has doubled from 0.2 to 0.4? Explain.

To determine

In a weighted voting system, two voters have the same weight. Must they also have the same Banzhaf power index?

**Given Information:**

Consider four people

**Concept used:**

**Calculation:**

If in a weighted voting system two voters have the same weight, then

Hence, yes they also have the same Banzhaf power index.

For example

Consider four people

Therefore,

Winning Coalition | Number of Votes | Critical Voters |

| | |

In above table we look in Critical voters column and find that

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