Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the equilibria of non-atomic congestion games in which there are two types of players: rational players, who seek to minimize their own delay, and malicious players, who seek to maximize the average delay experienced by the rational players.  study the existence of pure and mixed Nash equilibria for these games, and  seek to quantify the impact of the malicious players on the equilibrium. One counter intuitive phenomenon which  demonstrate is the "windfall of malice": paradoxically, when a myopically malicious player gains control of a fraction of the flow, a fraction of the players change from rational to malicious, the new equilibrium may be more favorable for the remaining rational players than the previous equilibrium.
['Moshe Babaioff', 'Robert Kleinberg', 'Christos H. Papadimitriou']
I am writing a research paper on a idea Congestion games with malicious players
[{"from": "human", "value": "I am writing a research paper on a idea Congestion games with malicious players"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the equilibria of non-atomic congestion games in which there are two types of players: rational players, who seek to minimize their own delay, and malicious players, who seek to maximize the average delay experienced by the rational players.  study the existence of pure and mixed Nash equilibria for these games, and  seek to quantify the impact of the malicious players on the equilibrium. One counter intuitive phenomenon which  demonstrate is the \"windfall of malice\": paradoxically, when a myopically malicious player gains control of a fraction of the flow, a fraction of the players change from rational to malicious, the new equilibrium may be more favorable for the remaining rational players than the previous equilibrium."}]