Responsibility in Infinite Games

Abstract

There are two distinct forms of responsibility that can be found in literature: counterfactual responsibility and responsibility for “seeing to it that.” It has been previously observed that, in the case of strategic games, the counterfactual form of responsibility can be defined through responsibility for “seeing to it that,” but not the other way around. We consider these two forms of responsibility in the case of infinite extensive form games. The main technical result is that, in this new setting, neither of the two forms of responsibility can be defined through the other. Some preliminary results for finite extensive form games are also given.