We establish a new envelope theorem in which the choice variables are discrete and the objective function and the constraints are Lipschitz continuous with respect to the parameters. The parameters can be ?nite or in?nite dimensional vectors in a Banach space. In an application, we revisit the...

This paper considers a trading problem on a network with incomplete information. We consider a simple water trading problem in which three agents are located in a linear order along a river. Upper stream agents can sell some amount of the water to their downstream but not the other way around....

We consider the cost sharing problem with divisible demands of heterogeneous goods. We propose a cost sharing method called Proportionally Adjusted Marginal Pricing (PAMP) method. PAMP is a nonadditive (in the cost function) extension of average cost pricing. We introduce an axiom called Local...