A unified variational framework for global agricultural supply chains under uncertain exchange rates: New classes of cost and price functions

We investigate a random variational inequality which was put forward recently to describe a network equilibrium model of international agricultural trade, where the exchange rates were modeled as random variables.We prove a convergence theorem for the approximated mean values and variances of the solution flows.Moreover, we introduce a new class of non-separable price and cost functions, and prove related monotonicity properties.Finally, we compare two different measures which describe the performance of the road network and use them to assess the vulnerability of the different routes of the supply chain.