Abstract

We apply topological results to the price dynamics of firms in an oligopoly by first giving an analytical treatment to the case of a duopoly and then making some general homotopically invariant observations for N greater than two.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 4
Year: 2019

DOI: 10.12732/ijam.v32i4.3

Download Section

Download the full text of article from here.

You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.

References

1. [1] M. Ali Khan, On Cournot-Nash equilibrium distributions for games with a nonmetrizable action space and upper semicontinuous payoffs, Trans. Amer. Math. Soc., 315 (1989), 127-146.
2. [2] R.S. Chandel, A. Hassan and R. Tiwari, Common fixed point theorem in cone metric space under contractive mappings, Int. J. Appl. Math., 29, No 3 (2016), 291-299; DOI: 10.12732/ijam.v29i3.1.
3. [3] M.-G. Cojocaru, Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces, Proc. Amer. Math. Soc., 134 (2005), 793-804.
4. [4] M.S. El Khannoussi and A. Zertiti, Fixed point theorems in the study of positive solutions for systems of equations in ordered Banach spaces, Int. J. Appl. Math., 28, No 3 (2015), 291-306; DOI: 10.12732/ijam.v28i3.8.
5. [5] J. Hofbauer and K. Sigmund, Evolutionary game dynamics, Bull. Amer. Math. Soc., 40 (2003), 479-519.