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Cakes range in price along with size and components. Cakes are usually priced on a per-person, or per-slice, basis. [1] Prices can range from a few dollars to a few hundred dollars per-person or slice, depending on the pastry chef who is hired to make the cake.
In a proportional cake-cutting, each person receives a piece that he values as at least 1/n of the value of the entire cake. In the example cake, a proportional division can be achieved by giving all the vanilla and 4/9 of the chocolate to George (for a value of 6.66), and the other 5/9 of the chocolate to Alice (for a value of 5). In symbols:
Larger cakes may be made to be sliced and served as part of a meal or social function. Common shapes include: Bundt cakes; Cake dress; Cake balls; Cake pops; Conical, such as the Kransekake; Cupcakes and madeleines, which are both sized for a single person; Layer cakes, frequently baked in a springform pan and decorated
Proportional cake-cutting. A proportional cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the proportionality criterion, namely, that every partner feels that his allocated share is worth at least 1/ n of the total. Two assumptions are usually made when proportionality is discussed:
Amandine. Romania. A chocolate layered cake filled with chocolate, caramel and fondant cream. Amygdalopita. Greece. An almond cake made with ground almonds, flour, butter, egg and pastry cream. Angel cake. United Kingdom [1] A type of layered sponge cake, often garnished with cream and food coloring.
Butter, sugar, eggs, flour; optionally frosting and other cake decorations. Media: Cupcake. A cupcake (AmE, CanE), fairy cake (BrE), or bun (IrE) is a small cake designed to serve one person, which may be baked in a small thin paper or aluminum cup. As with larger cakes, frosting and other cake decorations such as fruit and candy may be applied.
Divide and choose. 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. The protocol proceeds as follows: one ...
t. e. Utilitarian cake-cutting (also called maxsum cake-cutting) is a rule for dividing a heterogeneous resource, such as a cake or a land-estate, among several partners with different cardinal utility functions, such that the sum of the utilities of the partners is as large as possible. It is a special case of the utilitarian social choice rule.
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