Abstract
Let the cake be represented by the unit interval and let each player have a valuation expressed by a nonatomic probability measure. A cake division is said to be equitable if the value of the piece assigned to a player by his measure is the same for all players. We show that for any number n of players in any order an equitable division exists, giving each player a contiguous cake piece. Moreover, there is at least one order in which the common value is not smaller than 1/n.
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.
