Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Shapley Value in the Knaster Gain Game   In Briata, Dall'Aglio and Fragnelli (2012), the authors introduce a
cooperative game with transferable utility for allocating the gain of a
collusion among completely risk-averse agents involved in the fair division
procedure introduced by Knaster (1946). In this paper we analyze the Shapley
value (Shapley, 1953) of the game and propose its use as a measure of the
players' attitude towards collusion. Furthermore, we relate the sign of the
Shapley value with the ranking order of the players' evaluation, and show that
some players in a given ranking will always deter collusion. Finally, we
characterize the coalitions that maximize the gain from collusion, and suggest
an ad-hoc coalition formation mechanism.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg