Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assign and Appraise: Achieving Optimal Performance in Collaborative
  Teams   Tackling complex team problems requires understanding each team member's
skills in order to devise a task assignment maximizing the team performance.
This paper proposes a novel quantitative model describing the decentralized
process by which individuals in a team learn who has what abilities, while
concurrently assigning tasks to each of the team members. In the model, the
appraisal network represents team member's evaluations of one another and each
team member chooses their own workload. The appraisals and workload assignment
change simultaneously: each member builds their own local appraisal of
neighboring members based on the performance exhibited on previous tasks, while
the workload is redistributed based on the current appraisal estimates. We show
that the appraisal states can be reduced to a lower dimension due to the
presence of conserved quantities associated to the cycles of the appraisal
network. Building on this, we provide rigorous results characterizing the
ability, or inability, of the team to learn each other's skill and thus
converge to an allocation maximizing the team performance. We complement our
analysis with extensive numerical experiments.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga