Final answer:
The Shapley-Shubik power distribution allocates power among players in a cooperative game based on their values. In this system, Player 1 has the highest value, giving them the most power.
Step-by-step explanation:
The Shapley-Shubik power distribution is a method used to allocate power among players in a cooperative game.
In this system, the player with the highest value, 23, will have the most power.
The distribution can be calculated by dividing each player's value by the sum of all players' values and multiplying by 100 to get a percentage.
For the given system [23: 20, 15, 4, 3], the percentage distribution of power will be:
- Player 1: (23/45) * 100 = 51.11%
- Player 2: (20/45) * 100 = 44.44%
- Player 3: (15/45) * 100 = 33.33%
- Player 4: (4/45) * 100 = 8.89%
- Player 5: (3/45) * 100 = 6.67%