How to write signal as same as arcade joystick and insert the coins?

I want to hack the claw crane to allow the user play from computer instead of joystick.

I don't know how to write signal as same as arcade joystick and insert the coins.

Please give me a advice. Thank you.

I don't know how to write signal as same as arcade joystick and insert the coins.

Do you know what inputs the crane expects ? Voltage and polarity would be a start. Can you measure them ?

The joystick is a switch-based joystick (on/off)

ref: Bluetooth Arcade Controller | Wayne and Layne

Have you downloaded the Arduino programs linked to on the controller web page yo gave the link to ?