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Game theory is the study of strategic interaction: how a person should and will behave if her actions affect others and their actions affect her. (We use the term “person” here, but “agent” might be more appropriate, because, in the literature, game theory applies to firms, nations, or even genes, as well as to individual people.) Among fields of application, the theory has had its biggest infl...

We assume that the players’ cost functions are not necessarily dependent on the actions of all players. This is due to better mimicking the standard social media rules. A communication graph is defined for the game through which players are able to share their information with only their neighbors. We assume that the communication neighbors necessarily affect the players’ cost functions while t...

I consider an exchange economy in which each agent’s preferences are given by Ui = ui + θF , where ui is a standard utility function, F is a social objective function and θ is the weight F receives. Both F and θ are common to all individuals. I show that F ’s equilibrium value may be a decreasing function of θ. I also show that if F is a social welfare function whose argument are the ui’s, then...