The Minimum-Cost Spanning Tree Game is a concept in cooperative game theory that represents a scenario where players (or agents) must cooperate to achieve a common goal, which is to construct a minimum-cost spanning tree from a given graph. In this game: 1. **Graph Structure**: You have a graph with vertices (nodes) and edges (connections) that have associated costs. The goal is to connect all vertices so that the total cost of the edges used is minimized.