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

Figure 1

Utilities of manipulation and nonmanipulation students under different manipulation-seeking student ratio ρ. The x-axis represents the time when the high-score manipulation student transfers the seat to the low-score manipulation student, and it is the round number counted backward from the deadline. The y-axis represents the average utilities of students. The black line marked with diamonds is the average utility of the high-score manipulation students, the blue line marked with squares is for low-score manipulation students, the red line with circles is the average utility of all the manipulation students (both high- and low-score manipulation students), and the green line with triangle is for nonmanipulation students. The solid marks represent the optimal transfer time t^∗_{seat-transfer} of manipulation students_. For each parameter setting, we run the simulation for 100 times and calculate the average utilities.

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