Strategic Quantization with Quadratic Distortion Measures

This paper studies the problem of strategic quantization, where an encoder and a decoder with misaligned objectives communicate over a rate-constrained noiseless channel. Specifically, we focus on a 2-dimensional source, state and bias variables, and quadratic distortion measures. We provide a design algorithm for this particular case of strategic quantization, as well as an upper and lower bounds on the encoder distortion via employing linear communication strategies. Finally, we present comparative numerical results obtained via the proposed method. We provide our numerical results and the code for research purposes at https://github.com/strategic-quantization/quadratic-distortion-measures.