“Twenty-first century COE (center of excellence) committee” officially announces judging requirements for selecting (thirty) excellent research fund programs. Such a selection algorithm is a voting system. This paper proposes a voting algorithm for electing research fund programs, e. g., thirty programs of 21st century COE. The proposed algorithm distributes the total budget of fund programs after electing fund programs. In this developed algorithm, competitive a) voting and b) distributing are as below.
a) After many members in the committee are elected from various fields, programs are evaluated by the elected members from different viewpoints. That is, programs are voted and decided by majority.
b) Total budget is distributed among the elected programs, each of which suggests a special research project plan, as follows: First, the total budget is divided among all the members, and then the divided budget of each member is moreover distributed among the elected programs. This procedure is carried out by tendering “points” instead of money. Thus the total money given to each elected program is determined by the sum of points tendered by all the members.