Gain extraction dynamics of co amplification of multi signal amplification in a pulsed dye amplifier is theoretically studied using four level rate equations. Generic multi signal amplification in dye gain media and gain competition among amplifying signals were studied for two gain media of rhodamine 6 G and DCM laser dyes. Wavelength and power depended gain competition of one signal on other co amplifying signals for dual and three wave amplifiers were evaluated. This study will be useful for implementing compact multi wavelength oscillator and amplifier system.