Perceptual systems are constrained by their information transmission capacity. Accordingly, organismal strategies for compressing environmental information have been the subject of considerable study. The efficient coding model posits maximized mutual information between stimuli and their neural representation. The reward maximization model posits minimized signal distortion, operationalized as reward foregone due to stimulus confusion. The matched filters model posits the preferential transmission of information that informs evolutionarily important decisions. Unfortunately, the efficient coding model is sometimes at odds with empirical findings, and all three models struggle with recapitulating the predictions of the others. Here I aim to reconcile the models by developing a framework for modeling compression in which: compression strategies dictate stimulus representations, compressed stimulus representations inform decisions, decisions deliver rewards, environments differ in decision-reward associations and fitness function, and therefore, different environments select for different compression strategies. Using this framework, I construct environments in which the fittest compression strategy: optimizes signal distortion, optimizes both signal distortion and mutual information, and optimizes neither but nevertheless is fit because it facilitates the avoidance of catastrophically risky decisions. Thus, by modeling compression as optimal with respect to fitness, I enable the matched filters model to recapitulate the predictions of the others. Moreover, these results clarify that mutual information maximization and signal distortion minimization are favored by selection only under certain conditions. Hence, the efficient coding model is reconciled with the findings that it fails to predict, because those findings can now be understood to derive from outside its proper scope of application. Going forward, the optimal-fitness framework is poised to be a useful tool for further developing our understanding of perceptual compressions; a salient reason why is that it enables empirical findings to be bridged not only with concepts from information theory, but also economics.