We consider a class of infinite-dimensional singular stochastic control problems. These can be thought of as spatial monotone follower problems and find applications in spatial models of production and climate transition. Let (D,M,μ) be a finite measure space and consider the Hilbert space...

We explore intertemporal preferences that are recursive and account for local intertemporal substitution. First, we establish a rigorous foundation for these preferences and analyze their properties. Next, we examine the associated optimal consumption problem, proving the existence and...

Output uncertainty is a major concern for industries prone to exogenous, persistent and large fluctuations in output, such as agriculture, wind and solar power generation, while technology adoption aimed at mitigating output uncertainty can improve social welfare. This paper constructs a...

This paper is concerned with a comparison principle for viscosity solutions to Hamilton-Jacobi (HJ), -Bellman (HJB), and -Isaacs (HJI) equations for general classes of partial integro-differential operators. Our approach innovates in three ways: (1) We reinterpret the classical...

The Taxation Game is a cooperative game played between a set of countries I = {1, . . . , n} admitting the operation of a multinational enterprise (MNE, "the firm" ) within their jurisdiction. The firm, when operating within the territory of a subgroup S ⊆ I of countries (a coalition) will...

This paper addresses the intricate challenge of establishing social discount rates across far-reaching generations, particularly in the face of divergent social viewpoints. We introduce several principles related to Dominant Unanimity, which enable non-dictatorial social discounting, and we...

We study endogenous, credit-financed innovation under uncertainty in dynamic contexts. In our model, a firm with limited cash reserves decides how much to invest in an R&D project, potentially using external financing. Investing more increases the probability of a sooner innovation, but higher...

We study endogenous, credit-financed innovation under uncertainty in dynamic contexts. In our model, a firm with limited cash reserves decides how much to invest in an R&D project, potentially using external financing. Investing more increases the probability of a sooner innovation, but higher...

We explore intertemporal preferences that are recursive and account for local intertemporal substitution. First, we establish a rigorous foundation for these preferences and analyze their properties. Next, we examine the associated optimal consumption problem, proving the existence and...

We consider superhedging and no-arbitrage pricing in markets with a convex and cash-additive structure and derive an explicit functional form for the super-replication price. Using convex duality methods, we show that the superhedging price maximizes the difference between the expected payoff...