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For example, suppose some parts of the cake are covered by a uniform layer of chocolate, while other parts are not. An agent who values each piece only by the amount of chocolate it contains has a piecewise-uniform valuation. This is a special case of piecewise-constant valuations. Several truthful algorithms have been developed for this ...
Edmonds–Pruhs protocol is a protocol for fair cake-cutting.Its goal is to create a partially proportional division of a heterogeneous resource among n people, such that each person receives a subset of the cake which that person values as at least 1/an of the total, where is some sufficiently large constant.
The "cake" is only a metaphor; procedures for fair cake-cutting can be used to divide various kinds of resources, such as land estates, advertisement space or broadcast time. The prototypical procedure for fair cake-cutting is divide and choose, which is mentioned in the book of Genesis to resolve Abraham and Lot's conflict. This procedure ...
Since it was first invented in the 1930s, boxed cake mix has revolutionized home baking. Making a cake from scratch requires meticulous measuring and a long list of steps.
How to Bake a Cake from Scratch. ... Cake Baking Supplies. To get started baking cake, you need a few kitchen staples: a mixer, cake pans and an offset spatula for frosting.
Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake (both want as much of it as possible). The procedure ...
2 sticks unsalted butter, softened. 1-1/2 cups sugar. 2 whole eggs, room temperature. 1 egg white, room temperature. 1 teaspoon pure vanilla extract. 2 cups all-purpose flour
The main difficulty in designing an envy-free procedure for n > 2 agents is that the problem is not "divisible".I.e., if we divide half of the cake among n/2 agents in an envy-free manner, we cannot just let the other n/2 agents divide the other half in the same manner, because this might cause the first group of n/2 agents to be envious (e.g., it is possible that A and B both believe they got ...