Game Cross Efficiency for Systems with Two-Stage Structures

Table 2

Game cross efficiencies begin with different initial 𝛼_𝑜.

DMU	Game cross efficiency
	Arbitrary strategy			Benevolent strategy			Aggressive strategy
	Overall	Stage 1	Stage 2	Overall	Stage 1	Stage 2	Overall	Stage 1	Stage 2
1	0.4258	0.9852	0.4326	0.4257	0.9851	0.4325	0.4258	0.9852	0.4326
2	0.3428	0.6670	0.5140	0.3427	0.6669	0.5139	0.3428	0.6670	0.5140
3	0.4017	0.7812	0.5145	0.4016	0.7812	0.5145	0.4017	0.7813	0.5145
4	0.4112	0.8496	0.4842	0.4111	0.8496	0.4842	0.4112	0.8496	0.4843
5	0.5290	0.9916	0.5332	0.5286	0.9915	0.5329	0.5290	0.9916	0.5332
6	0.4069	0.8035	0.5069	0.4068	0.8034	0.5069	0.4069	0.8035	0.5069
7	0.3782	0.7674	0.4934	0.3781	0.7672	0.4933	0.3782	0.7674	0.4934
8	0.4499	0.7339	0.6132	0.4498	0.7338	0.6131	0.4500	0.7339	0.6132
9	0.4232	0.6877	0.6154	0.4231	0.6876	0.6153	0.4232	0.6877	0.6154
10	0.3178	0.7212	0.4686	0.3177	0.7217	0.4680	0.3178	0.7212	0.4686
11	0.3924	0.6455	0.6098	0.3922	0.6453	0.6097	0.3924	0.6455	0.6098
12	0.4316	0.6770	0.6377	0.4314	0.6769	0.6376	0.4316	0.6770	0.6377
13	0.4287	0.5685	0.7566	0.4286	0.5684	0.7566	0.4287	0.5685	0.7566
14	0.4060	0.7047	0.5763	0.4060	0.7046	0.5762	0.4060	0.7047	0.5763
15	0.5053	0.8166	0.6221	0.5051	0.8166	0.6218	0.5053	0.8166	0.6221
16	0.9974	1.0000	0.9974	0.9973	1.0000	0.9973	0.9974	1.0000	0.9974
17	0.6864	0.9845	0.6973	0.6862	0.9843	0.6972	0.6864	0.9845	0.6973
18	0.7677	0.7677	1.0000	0.7676	0.7676	1.0000	0.7677	0.7677	1.0000
19	0.5230	0.7347	0.7117	0.5228	0.7346	0.7116	0.5230	0.7347	0.7117
20	0.5741	0.7472	0.7683	0.5740	0.7472	0.7682	0.5741	0.7472	0.7683
21	0.5471	0.6413	0.8535	0.5470	0.6412	0.8535	0.5471	0.6413	0.8535
22	0.4882	0.6595	0.7407	0.4881	0.6595	0.7405	0.4882	0.6595	0.7407
23	0.3882	0.6249	0.6214	0.3881	0.6248	0.6213	0.3882	0.6249	0.6214
24	0.8085	0.8681	0.9313	0.8084	0.8680	0.9312	0.8085	0.8681	0.9313
25	0.5823	0.7241	0.8046	0.5821	0.7241	0.8043	0.5824	0.7241	0.8047
26	0.4767	0.6256	0.7621	0.4766	0.6255	0.7620	0.4767	0.6256	0.7621
27	0.5419	0.6389	0.8490	0.5417	0.6389	0.8488	0.5419	0.6389	0.8490
28	0.6173	0.7715	0.8002	0.6173	0.7715	0.8002	0.6173	0.7715	0.8002
29	0.6267	0.7774	0.8063	0.6262	0.7774	0.8058	0.6267	0.7774	0.8063
30	0.9971	0.9971	1.0000	0.9970	0.9970	1.0000	0.9971	0.9971	1.0000