An application of the continuous time replicator dynamic to economics

Eitaro Aiyoshi, Ryota Horie, Atsushi Maki

Research output: Contribution to journalConference article

Abstract

The present analysis is an application of the continuous time replicator dynamic to economics. Three types of problems are considered under conditions of a normalized constraint and non-negative constrains. The story of the following models is as follows. There are three or more corporations in a market. They behave so as to maximize their profits defined by the difference between their sales and cost functions with conjectural variations. In economics, there are many models concerning conjectural variation and Nash equilibrium. The present approach may be useful to examine the process of reaching equilibrium.

Original languageEnglish
Pages (from-to)105-113
Number of pages9
JournalMathematics and Computers in Simulation
Volume59
Issue number1-3
DOIs
Publication statusPublished - 2002 May 10

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Keywords

  • Conjectural variation
  • Replicator dynamic
  • Runge-Kutta method

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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