Abstract
Abstract The purpose of this paper is to explore and characterize the non-transitivity of preferences in the Fishburn decision-making theory. We consider the case in which the decision outcomes are integers and the probability distributions on X are two-valued. The k -cyclicity of a preference is defined for any positive integer k , and it is shown that a k -cyclic preference exists for every k . We represent preferences with univariate functions and give one class of k -cyclic preference function. Finally, different preference functions are given in concave, convex and e-linear form.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
