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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.