 Proportional cake-cutting with different entitlements

Proportional cake-cutting with different entitlements refers to a method for dividing a cake (or any divisible good) among several participants in such a way that each participant receives a fair or proportional share based on their entitlement or claim to the overall resource. In cake-cutting scenarios, "entitlement" usually means the amount that each participant believes they should receive based on some criteria, which could be agreed-upon proportions or personal preferences.