Gender Ratio in Mirage Nightclub Simulation

It has been observed that on some occasions Club Mirage in Leamington Spa is packed with lairy young men, not an atmosphere condusive to fun, while on other occasions it is wall to wall totty. This simulation attempts to explain the phenomenon, and proposes a cyclical pattern caused by simple interactions.

Assumptions :

• Females won't come to the club if they expect an overly laddish atmosphere, hence if there are many men one week, the following week fewer girls will attend.
• Males come to the club to ogle women, hence a high female attendance one week will (through word of mouth) attract more males the following week.
• The interaction between male attendance and female attendance can be described by a function.

Attendance

• For female attendance if no males were present the new female attendance is calculated from the previous attendance by the following equation.

P_Fn = P_F(n-1) + B_F *P_F(n-1)

where :

• P_Fn is the new female attendance after time period n
• P_F(n-1) is the beginning female attendance at the time period n-1
• B_F is the rate at which new females are attracted to the club

(Under these conditions the female attendance would continually increase. This simulation does not take into account the finite capacity of the club.)

• For male attendance the new male attendance is calculated from the previous attendance by the following equation:

P_Mn = P_M(n-1)- D_M*P_M(n-1)

where:

• P_Mn is the new male attendance after time period n
• P_M(n-1) is the beginning male attendance at the time period n-1
• D_M is the rate at which males stop attending in the absence of women to leer at.

(Under these conditions the male attendance will only decrease.)

• When males and females both attend the equations have another term to describe the interaction.

The female attendance is the same as above with a loss of attendance due to aggressive and offputting males:

P_Fn = P_F(n-1)+ B_F *P_F(n-1) - A* P_F(n-1)* P_M(n-1)

where :

• A is the interaction constant between the males and the females

The male attendance is increased with the addition of the interaction term :

P_Mn = P_M(n-1) - D_M *P_M(n-1) + A* P_M(n-1)* P_F(n-1)

(Now the female attendance is decreased by the males with the greater number of males causing a greater decrease in the female attendance. This means that the female attendance is eventually going to decrease and the resulting female attendance will also decrease. As a result a cyclic increase and decrease in attendances are set up. This is what is observed in the simulation.)

• The Attendance Simulation

  • (Be Patient Java may be starting)
    (Note: this code used to work, but now it's a gamble depending on what browser and Java implementation you're using -- sorry, I don't care enough to fix it).

Further research