Fairness and fuzzy coalitions

Abstract In this paper, we study the problem of a fair redistribution resources among agents in an exchange economy á la Shitovitz (Econometrica 41:467–501, 1973), with agents’ measure space having both atoms and atomless sector. We proceed by following idea Aubin (Mathematical methods game economic theory. North-Holland, Amsterdam, New York, Oxford, 1979) to allow for partial participation individuals coalitions, that induces enlargement set ordinary coalitions so-called fuzzy or generalized coalitions. propose notion fairness which, besides efficiency, imposes absence envy towards which fully characterizes competitive equilibria Aubin-core allocations.