Emergence and Evolution of Cooperation for Survival: A Continuous Time Model

For a large homogeneous population, where individuals rely on the availability of resource for survival, we introduce continuous time model in and each individual. In this framework, cooperation is defined as mutual insurance mechanism, aimed at covering shortages group members. We explore essential questions regarding importance cooperation: what are characteristics populations valuable, versus individualist populations, destroys value; how should be groups cooperating entities? order to answer latter question, first characterise optimal cooperation, which maximises expected lifetime entities population. Secondly, same question using non cooperative stochastic game. This allows understand extent strategic leads inefficiencies compared with cooperation. complete theoretical results by suggestive numerical approaches.