Strategic Formation of Relationship Networks

Define the components of a strategic network formation game (players, action sets, payoff functions) in the context of polyamorous relationships.

Construct a simple utility model for a partner considering forming or dissolving a tie, incorporating both direct benefits and network externalities.

Apply pairwise stability to assess the stability of a vee network configuration.

Analyze the tension between efficiency and stability in relationship network formation.

Model the transition from a vee to a triad or other structures as a network formation game.

Evaluate the role of consent and mutual agreement constraints in strategic network formation models.