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This paper is based on the presidential speech, read on March 28 in the 2004 Annual Conference of the Japan Association for Evolutionary Economics. At the occasion of the launch of the this Journal, this paper is prepared and written as a first draft of the research program by which those who are interested in the evolutionary economics may find out its common problems to solve, the direction to pursue and the goals to attain. Of course, any research program of a science should not be defined as an organizational decision making. It should come out spontaneously as a result of continuous discussions in which programs are proposed and criticized from within and from without. This paper is an invitation to such a continued discussion in the future. All propositions and opinions are my own and do not necessarily represent the opinions of the Japan Association for Evolutionary Economics.