A polluted river network is populated with agents (e.g., firms, villages, municipalities, or countries) located upstream and downstream. This river network must be cleaned, the costs of which must be shared among the agents. We model this problem as a cost sharing problem on a tree network....

This paper considers the cost sharing problem on a fixed tree network. It provides a characterization of the family of cost sharing methods satisfying the axioms of Additivity and the Independence of Irrelevant Costs. Additivity is a classical axiom. The Independence of Irrelevant Costs axiom is...

A river carries pollutants to people living along it if it is polluted. To make the water in the river clean, some costs are incurred. This poses a question of how to split the costs of cleaning the whole river among the agents located along it. To answer this question, we resort to the two main...

For a tolled highway where consecutive sections allow vehicles enter and exit unrestrictedly, we propose a simple toll pricing method. We show that the method is the unique method that satisfies the properties of Transit-proofness (No Merging or Splitting) and Cost Recovery. The...

This paper considers a modified principal-agent environment, where principals have options to either incentivize agents, or trigger agents' reciprocity. Because the production is uncertain, principals' fixed rate transfer can be easily interpreted as good intention. Theory suggests that...

We analyze how the precision of a firm’s product safety testing affects its pricing strategies and the associated profit implications under strict product liability with a partial liability specification. We consider a signaling game where a firm with private product safety information chooses...

An airline lands in a number of airports in a region. An airport serves a number of airlines. Each airport charges a given amount of emission fees to those airlines using the airport. The total emission fees from all airports in the region must be shared among all airlines. We propose an...

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....

This paper relates the classical Charnes, Cooper and Rhodes' (CCR) model in Data Envelopment Analysis (DEA) to the Weak Axiom of Profit Maximization (WAPM) in Firm Theory. Varian's (1990) firm theory analysis is extended from a single firm to multiple firms. This allows deriving the classical...