Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Axiomatic Approach to Solutions of Games   We consider solutions of normal form games that are invariant under strategic
equivalence. We consider additional properties that can be expected (or be
desired) from a solution of a game, and we observe the following:
  - Even the weakest notion of individual rationality restricts the set of
solutions to be equilibria. This observation holds for all types of solutions:
in pure-strategies, in mixed strategies, and in correlated strategies where the
corresponding notions of equilibria are pure-Nash, Nash and coarse-correlated.
  An action profile is (strict) simultaneous maximizer if it simultaneously
globally (strictly) maximizes the payoffs of all players.
  - If we require that a simultaneous maximizer (if it exists) will be a
solution, then the solution contains the set of pure Nash equilibria.
  - There is no solution for which a strict simultaneous maximizer (if it
exists) is the unique solution.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph