New Strategies Allow Unilateral Control of Payoffs in Complex Games
A new mathematical framework has been developed to study how a player can control the payoffs of others in repeated games. This framework allows for the creation of ruling strategies that enable a player to unilaterally influence the payoffs of their partners. The research shows that these ruling strategies can exist in games with any number of actions or players, and with any continuation probability. This method provides insights into how players can collaborate to control outsiders in complex repeated games, overcoming previous limitations in the field.