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Consider a weighted voting system with three players. If n one has veto power, and no one is a dummy., find the Banzhof power distribution.
Player 1 ____
Player 2 ____
Player 3 ____
Give each value as a fraction or decimal.

Consider A Weighted Voting System With Three Players If N One Has Veto Power And No One Is A Dummy Find The Banzhof Power Distribution Player 1 Player 2 Player class=

Sagot :

The Banzhaf power distribution value in the fraction is,

Player 1:  = 0.6

Player 2:  = 0.2

Player 3:  = 0.2.

What is the distribution?

The mathematical expression known as a distribution function expresses the likelihood that a system would adopt a certain value or range of values. The traditional examples include games of chance.

List of winning coalitions:

1. P1, P2, P3

2. P1, P2

3. P1, P3

No. of times P1 is critical = 3 (P1 is critical all 3 times as it has veto power)

No. of times P2 is critical = 1 (in the second coalition)

No. of times P3 is critical = 1 (in the third coalition)

Total no. of critical times = 3 + 1 + 1 = 5

Banzhof Power Distribution:

Player 1: No. of times P1 is critical/Total no. of critical times

              = 3/5 = 0.6

Player 2: No. of times P2 is critical/Total no. of critical times

              = 1/5 = 0.2

Player 3: No. of times P3 is critical/Total no. of critical times

              = 1/5 = 0.2

Hence, the Banzhaf power distribution value in the fraction is,

Player 1:  = 0.6

Player 2:  = 0.2

Player 3:  = 0.2

To learn more about the distribution visit,

brainly.com/question/27275125

#SPJ4

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