This paper discusses vector quantization codebook design algorithms based on the equidistortion principle, which is effective to minimize quantization error evaluated by the mean squared error. In this paper, we review some representative vector quantization codebook design algorithms including our law-of-the-jungle algorithm. Those algorithms are then compared from the viewpoint of vector quantization performance. In addition, computational efficiency of each algorithm is also examined. Experimental results show that the law-of-the-jungle algorithm is the most promising for practical vector quantization applications, in terms of both vector quantization performance and computational efficiency.