Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibria and learning dynamics in mixed network
  coordination/anti-coordination games   Whilst network coordination games and network anti-coordination games have
received a considerable amount of attention in the literature, network games
with coexisting coordinating and anti-coordinating players are known to exhibit
more complex behaviors. In fact, depending on the network structure, such games
may even fail to have pure-strategy Nash equilibria. An example is represented
by the well-known matching pennies (discoordination) game.
  In this work, we first provide graph-theoretic conditions for the existence
of pure-strategy Nash equilibria in mixed network
coordination/anti-coordination games of arbitrary size. For the case where such
conditions are met, we then study the asymptotic behavior of best-response
dynamics and provide sufficient conditions for finite-time convergence to the
set of Nash equilibria. Our results build on an extension and refinement of the
notion of network cohesiveness and on the formulation of the new concept of
network indecomposibility.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org