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Questions tagged [fair-division]

For various problems related to dividing a resource among several parties.

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21 votes
4 answers
2k views

Fairest way to choose gifts

Suppose that a parent brings home from a trip $2n$ gifts of roughly equal value for his/her two children. The children get to choose one at a time which gifts they want. What is the fairest way to ...
Richard Stanley's user avatar
31 votes
5 answers
1k views

Fair cutting of the plane with lines

An infinite countable family $\cal{L}$ of straight lines in the plane $\mathbb{R}^2$ forms a fair cutting of the plane if the following conditions are satisfied: $\bullet$ No circle intersects ...
Wlodek Kuperberg's user avatar
3 votes
1 answer
252 views

Is there a moving knife procedure for envy-free cake cutting with connected pieces?

In the wikipedia page on envy-free cake cutting, continuous "moving knife" algorithms for envy free cake cutting to connected pieces is only mentioned for up to 4 players. As the wikipedia article ...
edo arad's user avatar
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