A Nash equilibrium solution in an oligopoly market: The search for Nash equilibrium solutions with replicator equations derived from the gradient dynamics of a simplex algorithm.
Eitaro AiyoshiAtsushi MakiPublished in: Math. Comput. Simul. (2009)
Keyphrases
- nash equilibrium
- simplex algorithm
- equilibrium strategies
- game theory
- profit maximizing
- variational inequalities
- game theoretic
- optimal solution
- mathematical model
- feasible solution
- linear programming problems
- nash equilibria
- search algorithm
- search space
- linear programming
- solution concepts
- primal dual
- linear systems
- objective function
- dynamical systems
- mixed strategy
- simplex method
- worst case
- multiple objectives
- convex optimization
- robust optimization
- mixed integer
- interior point
- multi agent systems
- branch and bound algorithm
- linear program