Open AccessA note on the proof of Bertrand's theorem
Author(s) -
Vladimir Jovanović
Publication year - 2015
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam1501027j
Subject(s) - bertrand competition , mathematical economics , calculus (dental) , theoretical physics , physics , mathematics , medicine , dentistry , oligopoly , cournot competition
In this paper we fill a common gap in the proof of Bertrand' theorem present both the in Bertrand's original paper Théorème relatif au movement d'un point attiré vers un centre fixe and in the Arnold's book Mathematical methods of classical mechanics, by providing missing details which pertain to the problem of how to single out elastic and gravitational potentials among the power law ones