Cooperation has been widely studied in multiagent foraging tasks. However, the consequences of agent-environment interactions in the longer term and the achievement of sustainability have been largely unexplored in this context. This work contributes to the formulation of a problem statement for exploring social dynamics between agents: the ‘sustainable foraging problem’. The proposed problem explores the effect of agents’ individual actions on the environment and the agents’ dilemma of choosing between individual rewards and collective long-term goals in achieving sustainable resource management ensuring the survival of self and others. To embed resource constraints in this problem - forest, pasture and desert environment types are configured, giving rise to survival games of varied circumstances. This problem statement paves the way for diverse explorations into achieving sustainability objectives in complex social systems with dynamic environments, from a multiagent system perspective.