We consider the dynamic network formation problem under the requirement that the whole network be connected and remain connected after q nodes are destroyed. We propose the concept of dynamic Cq-stability and characterize dynamic Cq-stable networks for any q≥0. Comparison with the outcome in...

This paper examines evolutionary stability of preferences by employing deterministic replicator dynamics. The preferences of players are classified into three types: altruism, selfishness, and envy. In the stage game, players compete in pairs to maximize their subjective utilities, and, as a...