Sökning: "Boualem Djehiche"

Visar resultat 1 - 5 av 14 avhandlingar innehållade orden Boualem Djehiche.

  1. 1. Contributions to the Stochastic Maximum Principle

    Författare :Daniel Andersson; Boualem Djehiche; Fred Espen Benth; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; Matematisk statistik;

    Sammanfattning : This thesis consists of four papers treating the maximum principle for stochastic control problems. In the first paper we study the optimal control of a class of stochastic differential equations (SDEs) of mean-field type, where the coefficients are allowed to depend on the law of the process. LÄS MER

  2. 2. Necessary Optimality Conditions for Two Stochastic Control Problems

    Författare :Daniel Andersson; Boualem Djehiche; Tomas Björk; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; Matematisk statistik;

    Sammanfattning : This thesis consists of two papers concerning necessary conditions in stochastic control problems. In the first paper, we study the problem of controlling a linear stochastic differential equation (SDE) where the coefficients are random and not necessarily bounded. We consider relaxed control processes, i.e. LÄS MER

  3. 3. Aspects of cash-flow valuation

    Författare :Fredrik Armerin; Boualem Djehiche; Bjarne Astrup Jensen; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; arbitrage; coherent and convex measures of risk; immunization; insurance; martingale methods; Matematisk statistik; Mathematical statistics; Matematisk statistik;

    Sammanfattning : This thesis consists of five papers. In the first two papers we consider a general approach to cash flow valuation, focusing on dynamic properties of the value of a stream of cash flows. The third paper discusses immunization theory, where old results are shown to hold in general deterministic models, but often fail to be true in stochastic models. LÄS MER

  4. 4. Topics in the mean-field type approach to pedestrian crowd modeling and conventions

    Författare :Alexander Aurell; Boualem Djehiche; Xiaoming Hu; Roland Malhamé; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; pedestrian crowds; stochastic differential equations; mean field; stochastic control; games; backward dynamics; sticky boundary; stochastic maximum principle; social conventions; folkmassor; stokastiska differentialekvationer; medelfält; stokastisk styrning; limaktiga randvillkor; stokastiska maximumprincipen; dynamik med ändvillkor; spel; konventioner;

    Sammanfattning : This thesis consists of five appended papers, primarily addressingtopics in pedestrian crowd modeling and the formation of conventions.The first paper generalizes a pedestrian crowd model for competingsubcrowds to include nonlocal interactions and an arbitrary (butfinite) number of subcrowds. LÄS MER

  5. 5. Topics in Mean-Field Control and Games for Pure Jump Processes

    Författare :Salah Eddine Choutri; Boualem Djehiche; Marco Fuhrman; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

    Sammanfattning : This thesis is the collection of four papers addressing topics in stochastic optimal control, zero-sum games, backward stochastic differential equations, Pontryagin stochastic maximum principle and relaxed stochastic optimal control.In the first two papers, we establish existence of Markov chains of mean-field type, with countable state space and unbounded jump intensities. LÄS MER