Coordinating Manipulation in Real-time Interactive Mechanism of College Admission: Agent-Based Simulations

Table 1

Simulation results of different versions of RIM.

Version of RIM	Stage number	ρ	tseat-transfer	Utility difference	Manipulation number	Successful manipulation number (rate)	Student welfare	University welfare	Fairness index
One-stage RIM	Stage 1	0.5	12	0	170.1	15.94 (0.09)	0.7187	0.5011	0.9458
Two-stage RIM	Stage 1	1	13	0.0031	53.22	14.83 (0.28)	0.7184	0.5011	0.9282
	Stage 2	1	11	0.0037	54.62	11.18 (0.20)
Three-stage RIM	Stage 1	1	11	0.0047	17.12	4.31 (0.25)	0.7157	0.4988	0.793
	Stage 2	1	12	0.0125	17.40	2.76 (0.19)
	Stage 3	1	1	0.0564	17.28	9.27 (0.54)
Four-stage RIM	Stage 1	1	12	0.0007	6.48	2.61 (0.40)	0.7178	0.5004	0.8743
	Stage 2	1	12	0.0018	5.77	4.46 (0.77)
	Stage 3	1	10	0.0154	6.40	5.58 (0.87)
	Stage 4	1	1	0.0887	6.08	3.40 (0.56)
Five-stage RIM	Stage 1	1	12	0.0001	1.82	1.23 (0.68)	0.7196	0.5009	0.9507
	Stage 2	1	11	0.0083	2.10	1.99 (0.95)
	Stage 3	1	6	0.0327	1.94	0.62 (0.32)
	Stage 4	1	7	0.0560	2.12	1.95 (0.92)
	Stage 5	1	1	0.0904	2.18	1.59 (0.73)
Six-stage RIM	Stage 1	1	3	0.0017	0.52	0.47 (0.90)	0.7198	0.5010	0.9841
	Stage 2	1	4	0.0192	0.44	0.25 (0.57)
	Stage 3	1	5	0.0338	0.68	0.50 (0.74)
	Stage 4	1	4	0.0344	0.58	0.44 (0.76)
	Stage 5	1	1	0.0376	0.52	0.47 (0.90)
	Stage 6	1	1	0.0542	0.58	0.37 (0.64)