Game Theory Model of Traffic Participants within Amber Time at Signalized Intersection

Table 2

Logical interpretations for the value of the revenues.

Strategy profile	Revenue	Logical interpretations
Passing permitted, obeying the rules	(, )	When traffic administration permits passing and drivers obey the rules while passing the intersection during the amber light, which can improve the utilization efficiency of the green light, and traffic administration obtains the time efficiency e, while, compared with “passing forbidden” situation, they lose half of the safety efficacy s/2; on the other hand, drivers obtain the safety efficacy s, while, compared with “violating the rules” situation, they lose half of time efficiency e/2.
Passing permitted, violating the rules	(, )	When traffic administration permits passing but drivers violate the rules while passing the intersection during the amber light, the traffic administration obtains higher time efficiency 2e but loses more safety efficacy 2s. The drivers obtain higher time efficiency 2e but lose more safety efficacy 2s as well.
Passing forbidden, obeying the rules	(, )	When traffic administration forbids passing and drivers obey the rules while passing the intersection during the amber light, which reduces the utilization efficiency of the green light, traffic administration loses higher time efficiency 2e but obtains more safety efficacy 2s. The drivers obtain more safety efficacy 2s but lose higher time efficiency 2e, compared with situation when drivers violate the rules.
Passing forbidden, violating the rules	(, )	When traffic administration forbids passing but drivers violate the rules while passing the intersection during the amber light, traffic administration obtains safety efficacy s but loses half of time efficiency e/2, while drivers obtain time efficiency e but lose half of the safety efficacy s/2.