In image processing, there are many inventions results in processing the images effectively suitable for applications like change detection, SAR image analysis, Television i.e. for compressing videos for effective transmission etc. In Social network, exchange of bulk information needs an effective compression technique to compress, transmit, decompress and reconstruct the original quality of source information. Compression technique can reduce the storage deficiency, energy consumption. In this proposed methodology, an effective Finite Impulse Response filter designed with meta-heuristic techniques-a game theory-based approach provides a compromising data compression ratio for standard input images. Effective quality indicators such as compression ratio, Mean Square Error stands as proof for the implications of the anticipated technique in medical applications as it affords extraordinary results for compression of Ultrasound and MRI images, thus providing a pathway for a trans receiving data with minimum space required.