We study an economy in which the rate of change of population depends on population policy decisions. This requires population as well as capital as state variables. By showing the algebraic relationship between the shadow price of the population and the shadow price of the per capita capital...

Coordinating contracts have been extensively researched in supply chain management. In this retrospect, we systematically review the profit allocation, decision sequence, and compliance aspects of these contracts. In addition to the existing concepts in the literature, we propose the notion of...

We study a retailer's sourcing contract when the supplier's reservation profit (offered by his outside options) depends on his cost, which is privately known to only the supplier. An interesting discovery from our analysis is that supply chain coordination may be achieved despite the...

We optimize a large country's currency supply network for its central bank. The central bank provides currency to all branches (who in turn serve consumers and commerce) through its network of big vaults, regional vaults, and retail vaults. The central bank intends to reduce its total...

This paper studies the issue of coordinating equipment maintenance operations with capital investment strategy in the presence of random equipment failures. This problem represents an important extension of the celebrated Kamien and Schwartz (KS) paper published in Management Science. The...

We study the capacity investment strategy of a manufacturer who sells his product on a live-streaming shopping platform. The manufacturer first decides the production capacity, then the platform decides her commission, and finally the manufacturer sets the retail price. The platform has an...

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

Production scheduling problem of style good manufacturer involves seasonal stochastic demands for their goods and limited production capacities. As a result, some production must take place before the selling season starts. The problem can be cast as a stochastic optimal control problem over...

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...