Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Throw One's Cake --- and Have It Too   We consider the problem of fairly dividing a heterogeneous cake between a
number of players with different tastes. In this setting, it is known that
fairness requirements may result in a suboptimal division from the social
welfare standpoint. Here, we show that in some cases, discarding some of the
cake and fairly dividing only the remainder may be socially preferable to any
fair division of the entire cake. We study this phenomenon, providing
asymptotically-tight bounds on the social improvement achievable by such
discarding.

2
The categories of this paper are: math
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas