Evolutionary Stability Concepts for N–species Frequency-dependent Interactions

✍ Scribed by ROSS CRESSMAN; JÓZSEF GARAY; JOSEF HOFBAUER

• Book ID: 102613399
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 320 KB
• Volume: 211
• Category: Article
• ISSN: 0022-5193
• DOI: 10.1006/jtbi.2001.2321

✦ Synopsis

The classical static concept of an evolutionarily stable strategy (ESS) for a single species gives rise to two new notions when there are more than two species (called an N}species ESS and RL-stability). The paper relates these to the dynamic stability of monomorphic and polymorphic evolutionary systems. It is shown that RL-stability implies the global asymptotic stability of either system with or without mutations. However, the N}species ESS only implies stability of the monomorphic system.