In this paper, we attempt to answer the following questions about differential games: 1) when does a two-player, zero-sum differential game have a value and is it unique? 2) How can we characterize the value of the game and relate this value to some Hamilton-Jacobi equation? 3) When in general does the Nash Equilibrium of the differential game exist? To answer these questions, we use control th...

This work deals with subsidy transfer from a manufacturer to a retailer through the distributor in cooperative advertising. While the retailer engages in local advertising, the manufacturer indirectly participates in retail advertising using advertising subsidy which is given to the distributor, who in turn transfers it to the retailer. The manufacturer is the Stackelberg game leader; the distr...

We study a stochastic differential game between two insurance companies who employ reinsurance to reduce the risk of exposure. Under the assumption that the companies have large insurance portfolios compared to any individual claim size, their surplus processes can be approximated by stochastic differential equations. We formulate competition between the two companies as a game with a single pa...