Ever since an “evolutionary” perspective on the economy has been suggested, there have been differing, and partly incommensurable, views on what specifically this means. By working out where the differences lie and what motivates them, this paper identifies four major approaches to evolutionary economics. The differences between them can be traced back to opposite positions regarding the basic assumptions about reality and the proper conceptualization of evolution. The same differences can also be found in evolutionary game theory. Achievements of the major approaches to evolutionary economics and their prospects for future research are assessed by means of a peer survey.