Cooperative Games for Partner Selection and Stability

Model the partner selection process as a two-sided matching market with preferences.

Apply the Gale-Shapley algorithm to find stable partner pairings in a polyamorous or hotwife context.

Formulate an optimal stopping problem (Secretary Problem) for selecting a secondary partner under time or search constraints.

Define the 'core' of a cooperative game as a solution concept for the stability of a triad (cuckold, hotwife, bull).

Analyze how transferable utility (e.g., emotional support, time) can be used to maintain coalition stability.

Evaluate the stability of different relationship structures (e.g., V-polyandry vs. triad) using cooperative game theory.