Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of stability and bifurcation for two heterogeneous triopoly
  games with the isoelastic demand   In this paper, we investigate two heterogeneous triopoly games where the
demand function of the market is isoelastic. The local stability and the
bifurcation of these games are systematically analyzed using the symbolic
approach proposed by the author. The novelty of the present work is twofold. On
one hand, the results of this paper are analytical, which are different from
the existing results in the literature based on observations through numerical
simulations. In particular, we rigorously prove the existence of double routes
to chaos through the period-doubling bifurcation and through the Neimark-Sacker
bifurcation. On the other hand, for the special case of the involved firms
having identical marginal costs, we acquire the necessary and sufficient
conditions of the local stability for both models. By further analyzing these
conditions, it seems that that the presence of the local monopolistic
approximation (LMA) mechanism might have a stabilizing effect for heterogeneous
triopoly games with the isoelastic demand.

0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph