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Optimal control of systems with noisy memory and BSDEs with Malliavin derivatives
(Journal article; Peer reviewed, 2016)In this article we consider a stochastic optimal control problem where the dynamics of the state process, X(t), is a controlled stochastic differential equation with jumps, delay and noisy memory. The term noisy memory ... -
Optimal control with partial information for stochastic Volterra equations
(Journal article; Peer reviewed, 2010)In the first part of the paper we obtain existence and characterizations of an optimal control for a linear quadratic control problem of linear stochastic Volterra equations. In the second part, using the Malliavin calculus ... -
Optimal control with partial information for stochastic Volterra equations
(Journal article; Peer reviewed, 2010)In the first part of the paper we obtain existence and characterizations of an optimal control for a linear quadratic control problem of linear stochastic Volterra equations. In the second part, using the Malliavin ... -
Optimal fishing mortalities with age-structured bioeconomic model - a case of NEA mackerel
(Discussion paper;9/16, Working paper, 2016-05-31)The effects of random environmental impacts on optimal exploitation of a fish population are investigated using both optimization and simulation, based on a discrete-time age-structured bioeconomic model. The optimization ... -
Optimal fishing policy for two species in a three-species predator-prey model: The case of capelin, cod and juvenile herring in the Barents Sea
(Discussion paper, Working paper, 2007-12)This paper presents a management model for the Barents Sea capelin and cod fisheries including juvenile herring in the biological model as the young herring influences the cod-capelin system. The objective of the study is ... -
Optimal heating of large block of flats
(Discussion paper, Working paper, 2007) -
Optimal Insurance Policies in the Presence of Costs
(Journal article; Peer reviewed, 2017)We reconsider costs in insurance, and suggest a new type of cost function, which we argue is a natural choice when there are relatively small, but frequent, claims. If a fixed cost is incurred each time a claim is made, ... -
Optimal maintenance scheduling of local public purpose buildings
(Discussion paper;36/14, Working paper, 2014-11)We formulate the maintenance scheduling decision as a dynamic optimization problem, subject to an accelerating decay. This approach offers a formal, yet intuitive, weighting of the trade-offs involved when deciding a ... -
Optimal management of renewable resources : a general feedback approach
(Discussion paper, Working paper, 1998-09)Analytical solutions for optimal exploitation of renewable capital stocks are derived as feedback rules for a quite general optimization problem. By feedback rules is meant that optimal exploitation is given as an explicit ... -
Optimal multi-dimensional stochastic harvesting with density-dependent prices
(Journal article; Peer reviewed, 2016)We prove a verification theorem for a class of singular control problems which model optimal harvesting with density-dependent prices or optimal dividend policy with capitaldependent utilities. The result is applied to ... -
Optimal Pension Insurance Design
(Discussion paper, Working paper, 2006-09)In this paper we provide a framework for how the traditional life and pension contracts with a guaranteed rate of return can be optimized to increase customers’ welfare. Given that the contracts have to be priced correctly, ... -
Optimal portfolio selection with both fixed and proportional transaction costs for a CRRA investor with finite horizon
(Discussion paper, Working paper, 2002-01)In this paper we study the optimal portfolio selection problem for a constant relative risk averse investor who faces fixed and proportional transaction costs and maximizes expected utility of end-of-period wealth. We use ... -
Optimal portfolio selection with transaction costs for a CARA investor with finite horizon
(Discussion paper, Working paper, 2002-12)In this paper we study the optimal portfolio selection problem for a CARA investor who faces fixed and/or proportional transaction costs and maximizes expected utility of end-of-period wealth. We use a continuous time model ... -
Optimal redistribution and monitoring of labor effort
(Discussion paper;33/14, Working paper, 2014-09)This paper extends the Mirrlees (1971) model of optimal non-linear income taxation with a monitoring technology that allows the government to verify labor effort at a positive, but non-infinite cost. We analyze the joint ... -
Optimal risk sharing
(Discussion paper, Working paper, 2003-01)Optimal risk sharing is considered from the perspective of the risk sharing model introduced by Karl Borch in the late 50ies. First we introduce, in a modern setting, the main concepts from this theory. These we apply ... -
Optimal Risk Sharing in Society
(Discussion paper;10/21, Working paper, 2021-12-30)We consider risk sharing among individuals in a one-period setting under uncertainty, that will result in payoffs to be shared among the members. We start with optimal risk sharing in an Arrow-Debreu economy, or equivalently, ... -
Optimal Risk-Sharing and Deductables in Insurance
(Discussion paper, Working paper, 2006)Risk-sharing in insurance is analyzed, with a view towards explaining the prevalence of deductibles. First we introduce, in a modern setting, the main concepts of the theory of risk-sharing in a group of agents. This theory ... -
Optimal Scale in Different Environments – The Case of Norwegian Electricity Distribution Companies
(Discussion paper;22/15, Working paper, 2015-09-17)We study returns to scale in Norwegian electricity distribution companies. The scale issue of this sector has become an important political question, and it was for instance discussed by the Reiten commission (OED, 2014) ... -
Optimal spending of a wealth fund in the discrete time life cycle model
(Discussion paper;7/23, Working paper, 2023-06-09)The paper analyses optimal spending of an endowment fund. We use the life cycle model for both expected utility and recursive utility in discrete time. First we find the optimal consumption and investment policies for both ... -
The optimal spending rate versus the expected real return of a sovereign wealth fund
(Discussion paper;1/21, Working paper, 2021-02-04)We consider a sovereign wealth fund that invests broadly in the international financial markets. The influx to the fund has stopped. We adopt the life cycle model and demonstrate that the optimal spending rate from the ...