Abstract: In the basis of the bounded rationality and ecological rationality hypotheses, Professor Gigerenzer and the ABC group under the guidance of him discover and propose a series of “fast and frugal heuristics” such as recognition heuristis,take the best, priority heuristic,moral heuristic. Although a large number of studies show that these simple decision rules are rational and efficient cognitive strategies that save information, some researchers express doubts about them.In this article,the writer review and summarize the general debates about these heuristics as well as the specific debates around take the best, priority heuristic and moral heuristics,and give some brief comments.Fast and frugal heuristics are a promising research field with a lot of difficulties.In order to carry out their magnificent research project,the ABC group still need to do more works with more efforts.

Key words: bounded rationality, ecological rationality, fast and frugal Heuristics, take the best, priorty heuristic, moral heuristics