User:Helgus/ Eventology and its applications

The basic achievements of mathematical eventology in actual fileds of application are:
 * eventological portfolio analysis (statement and the decision of inverse eventological Markowitz’s problems (Harry Markovitz, the Nobel Prize on economy, 1990);
 * eventological models of supply and demand (eventological substantiation and expanded interpretation of classical market «Marchall’s cross» - «supply and demand cross»);
 * eventological interpretation of Herrnstein’s experiment with pigeons (1961) in psychology («The mind appears there and then, where and when there is an ability to make a probabilistic choice» - Vladimir Lefebvre, University of California at Irvin, 2003);
 * eventological models of «Vickrey auctions» (William Vickrey, the Nobel Prize on economy, 1996);
 * eventological basis and expansion of prospect theory (Daniel Kahneman and Amos Tversky) (Daniel Kahneman, the Nobel Prize on economy, 2002);
 * eventological generalization of methods of experimental economics (Vernon Smith, the Nobel Prize on economy, 2002); and also in
 * statistical geometry (Dietrich Stoyan): the new notion of set-means for random sets (1975).

Following fields have been developed recently:
 * eventological theory of dependencies of random events including theory of eventological copula;
 * eventological system analysis,
 * eventological decision theory and
 * eventological theory of set-preferences (eventological explanation for a long time known Blyth’s paradox in preference theory).

Applications of eventological theory

 * Eventological theory of fuzzy events
 * Eventological foundation of Kahneman and Tversky theory
 * Eventological portfolio analysis
 * Eventological system analysis
 * Eventology of making decision
 * Eventological theory of set-preferences
 * Eventological foundation of economics
 * Eventological scoring
 * Eventological direct and inverse Markowitz's problems
 * Eventological market "Marshall's Cross"
 * Eventological explaination of K.Blayh's paradox in theory of preferences