Journal of Applied Mathematics

Research Article

Game Cross Efficiency for Systems with Two-Stage Structures

Table 1

Overall efficiencies from different models.
DMUCentralizedArbitraryBenevolentAggressiveGame
10.4487 ( )0.3386 ( )0.3615 ( )0.3305 ( )0.4258 ( )
20.3634 ( )0.2735 ( )0.2899 ( )0.267 ( )0.3428 ( )
30.4216 ( )0.3226 ( )0.344 ( )0.3161 ( )0.4017 ( )
40.4274 ( )0.3389 ( )0.3609 ( )0.3334 ( )0.4112 ( )
50.6061 ( )0.4016 ( )0.4259 ( )0.3957 ( )0.529 ( )
60.418 ( )0.3544 ( )0.3733 ( )0.3501 ( )0.4069 ( )
70.394 ( )0.3113 ( )0.3316 ( )0.3058 ( )0.3782 ( )
80.4747 ( )0.3553 ( )0.3796 ( )0.3474 ( )0.4499 ( )
90.4486 ( )0.3448 ( )0.3638 ( )0.3372 ( )0.4232 ( )
100.3393 ( )0.2456 ( )0.2639 ( )0.2424 ( )0.3178 ( )
110.4158 ( )0.3141 ( )0.335 ( )0.3072 ( )0.3924 ( )
120.4541 ( )0.3449 ( )0.3646 ( )0.3368 ( )0.4316 ( )
130.4464 ( )0.366 ( )0.3872 ( )0.3607 ( )0.4287 ( )
140.4173 ( )0.3512 ( )0.3696 ( )0.3462 ( )0.406 ( )
150.6421 ( )0.4357 ( )0.4498 ( )0.4372 ( )0.5053 ( )
161 ( )0.8478 ( )0.8782 ( )0.8377 ( )0.9974 ( )
170.7144 ( )0.5787 ( )0.6035 ( )0.5726 ( )0.6864 ( )
180.7974 ( )0.6709 ( )0.6988 ( )0.6662 ( )0.7677 ( )
190.5841 ( )0.4648 ( )0.479 ( )0.4652 ( )0.523 ( )
200.5916 ( )0.4983 ( )0.5231 ( )0.4918 ( )0.5741 ( )
210.5673 ( )0.4712 ( )0.4919 ( )0.4653 ( )0.5471 ( )
220.5196 ( )0.4382 ( )0.4544 ( )0.4365 ( )0.4882 ( )
230.3975 ( )0.3398 ( )0.3544 ( )0.336 ( )0.3882 ( )
240.8257 ( )0.7152 ( )0.7504 ( )0.7064 ( )0.8085 ( )
250.7403 ( )0.4971 ( )0.5146 ( )0.4985 ( )0.5823 ( )
260.5306 ( )0.431 ( )0.4462 ( )0.4305 ( )0.4767 ( )
270.6549 ( )0.4791 ( )0.497 ( )0.4799 ( )0.5419 ( )
280.6198 ( )0.5654 ( )0.5898 ( )0.5615 ( )0.6173 ( )
290.8093 ( )0.4793 ( )0.4935 ( )0.4768 ( )0.6267 ( )
301 ( )0.915 ( )0.9473 ( )0.9106 ( )0.9971 ( )