• Optimal contracts under imperfect enforcement revisited 

      Hvide, Hans K. (Discussion paper, Working paper, 2005-08)
      We consider a financing game with costly enforcement based on Townsend (1979), but where monitoring is non-contractible and allowed to be stochastic. Debt is the optimal contract. Moreover, the debt contract induces creditor ...
    • Optimal control of a renewable natural resources and the "stochastically induced critical depensation" 

      Lund, Arne-Christian (Discussion paper, Working paper, 2002-12)
      This paper focus aspects connected to the optimal control of a renewable resource modelled by a stochastic differential equation. The main point is to show how small changes of the problem may cause severe changes in the ...
    • Optimal control of predictive mean-field equations and applications to finance 

      Øksendal, Bernt; Sulem, Agnès (Peer reviewed; Journal article, 2016)
      We study a coupled system of controlled stochastic differential equations (SDEs) driven by a Brownian motion and a compensated Poisson random measure, consisting of a forward SDE in the unknown process X(t) and a predictive ...
    • Optimal control of systems with noisy memory and BSDEs with Malliavin derivatives 

      Øksendal, Bernt; Mohammed, Salah-Eldin; Røse, Elin Engen; Dahl, Kristina Rognlien (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 

      Øksendal, Bernt; Zhang, Tusheng (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 

      Øksendal, Bernt; Zhang, Tusheng (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 

      Ni, Yuanming; Steinshamn, Stein I. (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 

      Aanestad, Sigurd; Sandal, Leif Kristoffer; Eide, Arne (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 

      Gustafsson, Stig-Inge; Rönnqvist, Mikael (Discussion paper, Working paper, 2007)
    • Optimal Insurance Policies in the Presence of Costs 

      Aase, Knut Kristian (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 

      Hopland, Arnt O.; Kvamsdal, Sturla Furunes (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 

      Sandal, Leif Kristoffer; Steinshamn, Stein Ivar (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 

      Alvarez, Luis H.; Lungu, Edward; Øksendal, Bernt (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 

      Døskeland, Trond M.; Nordahl, Helge A. (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 

      Zakamouline, Valeri I. (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 

      Zakamouline, Valeri I. (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 

      Zoutman, Floris T.; Jacobs, Bas (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 

      Aase, Knut K. (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 

      Aase, Knut K. (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 

      Aase, Knut K. (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 ...