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Here we reconsider the solution of the well-known Prisoner's Dilemma from a binary relation point of view. We identify the Nash equilibrium as single maximum element of a relation (we call it coordination relation) between the cells of a multidimensional payoff array. The comparison between reward vectors of cells is according to a preference relation of each player. This approach allows for an easier...
In the relational approach to fairness, fairness is considered as a social choice that coincides with the maximum set of a fairness relation. Here we consider the application of this approach to achieve general fairness in collaborative systems. The approach is based on posing additional conditions on the fairness relation based on representation of collaboration among agents by a social graph, and...
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