Cake-cutting

	Cake-cutting Cake-cutting may refer to: * Fair cake-cutting, a mathematical problem of fairly dividing a heterogenous resource among people with different preferences ** Efficient cake-cutting Efficient cake-cutting is a problem in economics and computer science. It involves a ''heterogeneous'' resource, such as a cake with different toppings or a land with different coverings, that is assumed to be ''divisible'' - it is possible to cut a ..., 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 {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Fair Cake-cutting 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 over different parts of the cake, i.e., some people prefer the chocolate toppings, some prefer the cherries, some just want as large a piece as possible. The division should be ''unanimously'' fair - each person should receive a piece that he or she believes to be a fair share. 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 already in the book of Genesis. It solves the fair division problem for two people. The modern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Efficient Cake-cutting Efficient cake-cutting is a problem in economics and computer science. It involves a ''heterogeneous'' resource, such as a cake with different toppings or a land with different coverings, 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 over different parts of the cake, i.e., some people prefer the chocolate toppings, some prefer the cherries, some just want as large a piece as possible, etc. The allocation should be ''economically efficient''. Several notions of efficiency have been studied: * The most common notion is Pareto-efficient, Pareto-efficiency. It means that no other allocation is better for at least one participant and at least as good for everyone. * A weaker notion is non-wastefulness. An allocation is non-wasteful if no agent receives a piece of cake that is worth 0 for him/her, and worth more than 0 for another ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]