In this paper we characterize the feedback equilibrium of a general infinite-horizon Stackelberg-Nash differential game where the roles of the players are mixed. By mixed we mean that one player is a leader on some decisions and a follower on other decisions. We prove a verification theorem that...

We study a two-period supply chain in which a manufacturer produces a product, learns to reduce cost, and sells it through a retailer with a price-dependent demand. The manufacturer's second-period production cost declines linearly in the first-period production with a random learning rate. The...

A nearly explicit feedback Stackelberg-Nash equilibrium is obtained in a dynamic distribution channel consisting of a manufacturer and two competing asymmetric retailers engaged in promoting the manufacturer's product to be sold through the retailers. The manufacturer decides on its support for...

This study investigates the strategic effect of return policies in a dual-channel supply chain, in which a manufacturer can sell products directly to end customers and indirectly via an independent retailer. The manufacturer decides whether to implement a return policy in either the direct or...

We present a sufficient condition for a feedback Stackelberg equilibrium of a stochastic differential game on an infinite horizon. This condition gives rise to a system of elliptic partial differential equations involving a static Stackelberg game at the level of Lagrangian. As an example, we...

Cooperative advertising is an important mechanism used by manufacturers to influence retailers' promotional decisions. In a typical arrangement, the manufacturer agrees to reimburse a fraction of a retailer's advertising cost, known as the subsidy rate. We consider a case of new product adoption...

The concept of a forecast horizon for a given player with respect to the set of equilibria in an abstract dynamic game is defined. Consideration is then given to the case of a stochastic dynamic game with memory-less perfect state information and the Nash equilibrium concept. Sufficient...

We study two competing firms with different production costs and moral standards making decisions to sell their products in the market by choosing their optimal production quantities and degrees of disobedience of a guiding rule imposed by a regulatory authority such as the government. We model...

We obtain optimal emission levels and abatement expenditures in a finite-horizon transboundary pollution game with emission trading between two regions.We show that emission trading has significant impact on the optimal strategies and profits of the two regions. We find that cooperation between...

The focal point analysis is a viable approach to analyze models of finitely durable goods in infinite time horizon. Agrawal, Ferguson, Toktay, and Thomas [Agrawal VV, Ferguson M, Toktay LB, Thomas VM (2012) Is leasing greener than selling? Management Sci. 58(3):523-533.] study the focal point of...