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In case the "cake" is a 1-dimensional interval, this translates to the requirement that each piece is also an interval. In case the cake is a 1-dimensional circle ("pie"), this translates to the requirement that each piece be an arc; see fair pie-cutting. Another constraint is adjacency. This constraint applies to the case when the "cake" is a ...
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 ...
The algorithm sorts the n lines in increasing order and cuts the cake in the median of the lines, i.e. at the ⌊n/2⌋th line. E.g., if there are 5 partners that draw lines at x=1, x=3, x=5, x=8 and x=9, then the algorithm cuts the cake vertically at x=5. The algorithm assigns to each of the two parts the partners whose line is inside that ...
Lamport's bakery algorithm is a computer algorithm devised by computer scientist Leslie Lamport, as part of his long study of the formal correctness of concurrent systems, which is intended to improve the safety in the usage of shared resources among multiple threads by means of mutual exclusion.
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 ...
There are a few other ingredients you'll commonly see called for being brought to room temperature before adding them into a baking recipe: Butter, cream cheese, and "liquid" dairy products such ...
Layer cakes, bundt cakes, square cakes, 4-foot-long cakes, birthday cakes, tiered cakes, tortes, wedding cakes, slumping cakes and cupcakes. "It's a cake potluck. Or a cake heaven, cake nirvana ...
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 ...