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Table 2 Results of simulations of n-player game when n =3

From: Fuzzy inference game approach to uncertainty in business decisions and market competitions

Agent moves

Untrained player

Control expt

Trained agent

S/N

Green

Brown

Yellow

Winner

Payoff

Winner

Payoff

Winner

Payoff

1

3, 1, 1

0, 1, 4

2, 0, 3

Yellow

-26.5

Yellow

-17.7

Yellow

-95.8

2

0, 5, 0

0, 5, 0

1, 4, 0

Yellow

-117.1

Yellow

-78.1

Yellow

-182.6

3

0, 5, 0

0, 0, 5

0, 1, 4

Yellow

-243.6

Yellow

-162.4

Yellow

-309.9

4

4, 0, 1

4, 0, 1

4, 0, 1

Yellow

-4.5

Yellow

-3.0

Yellow

-72.7

5

1, 0, 4

3, 2, 0

2, 0, 3

Yellow

-138.5

Yellow

-92.3

Yellow

-205.4

6

3, 1, 1

3, 0, 2

4, 0, 1

Green

82.9

Green

124.4

Green

22.3

7

3, 0, 2

2, 0, 3

2, 1, 2

Green

235.4

Green

353.1

Green

170.5

8

3, 1, 1

3, 1, 1

3, 1, 1

Yellow

-34.5

Yellow

-23.0

Yellow

-102.7

9

1, 1, 3

1, 1, 3

1, 0, 4

Yellow

-59.1

Yellow

-39.4

Yellow

-128.2

10

2, 1, 2

2, 1, 2

1, 1, 3

Yellow

-96.4

Yellow

-64.3

Yellow

-163.4

11

3, 0, 2

0, 4, 1

2, 0, 3

Yellow

-328.1

Yellow

-218.8

Yellow

-385.8

12

0,0,5

0, 0, 5

0, 5, 0

Green

1397.4

Green

2096.1

Green

1330.7

13

0,5,0

0, 5, 0

0, 0, 5

Yellow

-1145.1

Yellow

-763.4

Yellow

-1210.6

  1. From the table, the first column shows the serial numbers of the iterations, the second column contains player green’s strategies, third column contains those of player brown, while the forth column contains that of yellow. For example, in the fifth iteration, green’s strategy shows [1,0,4], this indicates how resources are allocated to strategy [C,W,M]: C = 1, W = 0 and M = 4. The fifth and sixth column gives the winners and payoffs for the untrained simulations. It can be observed that the fuzzy player performs better than it does in 2-player game results shown on Table 1. For example, in iterations 1, 3 and 5 where one of the opponents allocated higher strategy to marketing which is the strongest strategy, one expects the fuzzy player to lose but it won. It also happened in many other iterations which are not shown here for lack of enough space. Also, the fuzzy player has higher payoffs than in 2-player game.