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Game Theory in Polyandrous Vee Relationships
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Module 1
Foundations of Game Theory for Vee Relationships
1
Polyandrous Vee: A Three-Player Game
Model a polyandrous vee as a three-player game with distinct roles (hinge and two non-hinge partners).
2
Hinge vs. Non-Hinge Partner Strategy Spaces
Identify and compare the strategy spaces available to hinge versus non-hinge partners.
Designing Utility Functions for Multi-Agent Systems
Define utility functions capturing emotional, temporal, and material payoffs for each player in a vee.
4
Vee Relationships: Coordination, Anti-coordination, and Mixed-Motive Games
Classify common vee relationship scenarios as coordination, anti-coordination, or mixed-motive games.
5
Building Payoff Matrices for Common Dilemmas
Construct payoff matrices for typical vee dilemmas such as time allocation and disclosure decisions.
6
Best-Response Dynamics in Three-Player Vee Games
Analyze the best-response dynamics in a three-player vee game.
7
Nash Equilibria in Vee Games
Interpret the pure-strategy Nash equilibria as potential stable outcomes in a vee game.
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Bargaining and Fair Division in Vees