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Fair cake-cutting is a kind of fair division problem. The problem involves a heterogeneous resource, such as a cake with different toppings, that is assumed to be divisible – it is possible to cut arbitrarily small pieces of it without destroying their value. The resource has to be divided among several partners who have different preferences ...
In the problem of envy-free cake-cutting, there is a cake modeled as an interval, and agents with different value measures over the cake. The value measures are accessible only via queries of the form "evaluate a given piece of cake" or "mark a piece of cake with a given value".
Modern research into the fair cake-cutting problem started in the 1940s. The first fairness criterion studied was proportional division, and a procedure for n partners was soon found. The stronger criterion of envy-freeness was introduced into the cake-cutting problem by George Gamow and Marvin Stern in 1950s. [1]
By process of elimination, I determined the Costco organic cane sugar was the problem, not the Costco butter," the person wrote. "Organic sugar was releasing too much liquid during baking.
Every procedure for fair cake-cutting can also be applied to cutting a pie by just ignoring the fact that the two endpoints are identified. For example, if the cake-cutting procedure yielded a division in which Alice receives [0,1/3] and the George receives [1/3,1], then we would give Alice a circular sector of 120 degrees and George the ...
By process of elimination, I determined the Costco organic cane sugar was the problem, not the Costco butter," the person wrote. "Organic sugar was releasing too much liquid during baking.
Whoopi Goldberg’s birthday treat was bittersweet this year.. While celebrating her 69th birthday on The View on Wednesday, Nov. 13, the TV personality claimed that the bakery that made her ...
Fair cake-cutting, a mathematical problem of fairly dividing a heterogenous resource among people with different preferences Efficient cake-cutting, a similar division problem in economics and computer science; Wedding-cake cutting, the habit of cutting the wedding cake and distributing it to the guests, as a symbol of fertility