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On a discrete-time model with replicator dynamics in renewable resource exploitation
- Publication Year :
- 2015
-
Abstract
- We consider a discrete-time version of the model proposed by Lamantia and Radi [15] to describe a fishery where a population regulated by a logistic growth function is exploited by a pool of agents that can choose, at each time period, between two different harvesting strategies according to a profit-driven evolutionary selection rule. The resulting discrete dynamical system, represented by a two-dimensional nonlinear map, is characterized by the presence of invariant lines on which the dynamics are governed by one-dimensional restrictions that represent pure, i.e. adopted by all players, strategies. However, interesting dynamics related to interior attractors, where players playing both strategies coexist, are evidenced by analytical as well as numerical methods that reveal local and global bifurcations.
- Subjects :
- Mathematical optimization
Population
attractors
replicator dynamics
replicator dynamic
discrete-time population model
resource exploitation
bifurcations
Attractor
Replicator equation
Logistic function
Invariant (mathematics)
education
Attractors
Bifurcations
Discrete-time Population Model
Replicator Dynamics
Resource Exploitation
Applied Mathematics
Mathematics
education.field_of_study
Algebra and Number Theory
Numerical analysis
Function (mathematics)
Settore SECS-S/06 - METODI MATEMATICI DELL'ECONOMIA E DELLE SCIENZE ATTUARIALI E FINANZIARIE
attractor
Discrete time and continuous time
bifurcation
Mathematical economics
Analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....aea3015c27d0d97a75fde038de4c27bb