In an economy, there are essentially three approaches to the problem of value and distribution: pure competition (competitive equilibrium), coalition power (the core), and fair division (the Shapley value) . In an economy without public goods but with a continuum of agents, all three approaches are equivalent, in the sense that they lead to the same allocation of goods and the same imputation of utility [1, 2]. For an economy with public goods, competitive equilibrium is replaced by the analogous concept of Lindahl equilibrium, the other approaches remaining the same.
Gardner, Roy, "Shapley Value And Lindahl Equilibrium For An Economy With A Public Good: An Example" (1975). Economic Staff Paper Series. 161.