Control processes

Feedback loop scheme as related to axiomatic approach to Pareto set reduction

A. V. Sachkov

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: A feedback loop scheme is proposed as related to axiomatic approach to Pareto set reduction. Necessary information on axiomatic approach is presented and an example is studied. The feedback loop scheme is explored as related to a problem of potential insurance contract conclusion. Problems arising with such approach are discussed, such as criteria selection, automatic quanta collection based on user behavior data and others. The scheme is then modified and an approximate solution algorithm is presented. Future research directions are outlined.

Keywords: choice, Pareto set, feedback loop.

UDC: 519.816

MSC: 91B06

Received: January 4, 2024
Accepted: March 12, 2024

DOI: 10.21638/spbu10.2024.212