The success of a new product depends on both engineering decisions (product reliability) and marketing decisions (price, warranty). A higher reliability results in a higher manufacturing cost and higher sale price. Consumers are willing to pay a higher price only if they can be assured about...

We consider a class of N-player stochastic games of multi-dimensional singular control, in which each player faces a minimization problem of monotone-follower type with submodular costs. We call these games monotone-follower games. In a not necessarily Markovian setting, we establish the...

In the early 70s Merton developed a theory based on economic arguments to study the properties of option and warrant prices. The main tool in his proofs was the portfolio dominance principle. In the context where the price of a contingent claim satisfies a partial differential equation we...

The paper presents the optimal control theory and the maximum principle technique that is suitable for solving dynamic optimalization problems in continuous time. Modern mainstream macroeconomics stresses microeconomics principles of solved problems. However, the application of the standard...

Rufus P. Isaacs joined the RAND Corporation, Santa Monica, California, in 1948 and started to develop the theory of dynamic games in the early 1950s. Until winter 1954/55 - when Isaacs left the RAND Corporation - he investigated two player, zero-sum dynamic games of the classic pursuit-evasion...

Dynamic modeling is general and recently the most interesting perspective to solve a dynamic economic problem based on Pontryagin’s maximum principle. Moreover traditional economic theory, up to the middle of twentieth century, builds up the production functions regardless the inputs’...

This paper presents a review of recent developments that have taken place in the area of dynamic optimal control models in advertising subsequent to the comprehensive survey of the literature by Sethi in 1977. The basic problem underlying these models is that of determining optimal advertising...

An optimal harvesting problem for linear size-structured population dynamics is considered. A maximum principle is shown and sufficient conditions for the optimal control to be bang-bang are given.

Dynamic modeling is general and recently the most interesting perspective to solve a dynamic economic problem based on Pontryagin's maximum principle. Moreover traditional economic theory, up to the middle of twentieth century, builds up the production functions regardless the inputs' scarcity....

In this article, we study the price monotonicity in the parameters of the Heston model for a contract with a convex pay-off function; in particular we consider European put options. We show that the price is increasing in the constant term in the drift of the variance process and decreasing in...