New Shapley Values Revolutionize Cooperative Game Theory for Fairer Payoffs!
The article discusses different ways to calculate fair payoffs in cooperative games where players work together to achieve certain outcomes. The researchers focus on games where players can only form specific groups, not any possible combination. They introduce two new methods based on the well-known Shapley value, which distribute payoffs fairly among players. One method uses a special graph to determine payoffs, while the other modifies the game structure to calculate fair shares. These new methods provide alternative ways to ensure fairness in cooperative games with restricted cooperation.