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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 ...
The size of household microwave ovens can vary, but usually have an internal volume of around 20 liters (1,200 cu in; 0.71 cu ft), and external dimensions of approximately 45–60 cm (1 ft 6 in – 2 ft 0 in) wide, 35–40 cm (1 ft 2 in – 1 ft 4 in) deep and 25–35 cm (9.8 in – 1 ft 1.8 in) tall. [29]
The classic divide and choose procedure for cake-cutting is not truthful: if the cutter knows the chooser's preferences, they can get much more than 1/2 by acting strategically. For example, suppose the cutter values a piece by its size while the chooser values a piece by the amount of chocolate in it.
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 ...
BBQ baked rutabaga chips are a healthy and flavorful gluten free side dish, appetizer or snack. Rutabaga is a root vegetable that’s easy to bake and cook with, so making the baked chips recipe ...
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; ... Envy-free cake-cutting; Equitable cake-cutting;
An equitable cake allocation cannot be found using a finite protocol in the Robertson–Webb query model, even for 2 agents. [8] Moreover, for any ε > 0: A connected ε-equitable cake-cutting requires at least Ω(log ε −1) queries. [9] For 2 agents, an O(log ε −1) protocol exists. [5]
Symmetric fair cake-cutting is a variant of the fair cake-cutting problem, in which fairness is applied not only to the final outcome, but also to the assignment of roles in the division procedure. As an example, consider a birthday cake that has to be divided between two children with different tastes, such that each child feels that his/her ...