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A REACTION-DIFFUSION SYSTEM ARISING IN GAME THEORY: EXISTENCE OF SOLUTIONS AND SPATIAL DOMINANCE.
- Source :
- Discrete & Continuous Dynamical Systems - Series B; Dec2017, Vol. 22 Issue 10, p3891-3901, 11p
- Publication Year :
- 2017
-
Abstract
- The initial value problem for a reaction-difiusion system with discontinuous nonlinearities proposed by Hofbauer in 1999 as an equilibrium selection model in game theory is studied from the viewpoint of the existence and stability of solutions. An equilibrium selection result using the stability of a constant stationary solution is obtained for finite symmetric 2 person games with a 1/2-dominant equilibrium. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICS
SIMULATION games
GAME theory
DECISION making
DECISION theory
Subjects
Details
- Language :
- English
- ISSN :
- 15313492
- Volume :
- 22
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems - Series B
- Publication Type :
- Academic Journal
- Accession number :
- 125440096
- Full Text :
- https://doi.org/10.3934/dcdsb.2017200