Toward a Mathematical Theory of Hypercycles

A theory of abstract hypercycle [Die Naturwiss., 1971, vol. 58, pp. 465–523; 1977, vol. 64, pp. 41–565; 1978, vol. 65, pp. 7–41, 341–369] is developed. A general approach to the problem of exact solutions is proposed. Local stability of cooperative choice is fully investigated.