Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Non-obvious aspects of modelling common resources and markets using dynamic games

2016/21/B/HS4/00695

Keywords:

noncooperative games dynamic games Nash equilibrium common ecosystem oligopoly Bellman equation Pontriagin maximum principle

Descriptors:

  • HS4_2: Microeconomics, institutional economics
  • ST1_17: Applied mathematics
  • HS4_5: Resources and sustainable development

Panel:

HS4 - Individuals, institutions, markets: economics, finance, management, demography, social and economic geography, urban studies

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Agnieszka Wiszniewska-Matyszkiel 

Number of co-investigators in the project: 4

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 324 500 PLN

Project start date (Y-m-d): 2017-01-23

Project end date (Y-m-d): 2020-05-22

Project duration:: 40 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer przenośny z oprogramowaniem, w tym oprogramowanie do obliczeń symbolicznych i symulacji numerycznych (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (10)
  1. A class of linear quadratic dynamic optimization problems with state dependent constraints
    Authors:
    Rajani Singh, Agnieszka Wiszniewska-Matyszkiel
    Academic press:
    Mathematical Methods in Operations Research (rok: 2019, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00186-019-00688-4 - link to the publication
  2. Dynamic Stackelberg Duopoly with Sticky Prices and a Myopic Follower
    Authors:
    Katarzyna Kańska, Agnieszka Wiszniewska-Matyszkiel
    Academic press:
    Operational Research (rok: 2021, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12351-021-00665-y - link to the publication
  3. Existence of almost fixed points for random operators with application in game theory
    Authors:
    Oskar Górniewicz
    Academic press:
    Results in Nonlinear Analysis (rok: 2020, tom: 3, strony: 18-23), Wydawca: Erdal KARAPINAR
    Status:
    Published
    DOI:
    brak - link to the publication
  4. When inaccuracies in value functions do not propagate on optima and equilibria
    Authors:
    Agnieszka Wiszniewska-Matyszkiel, Rajani Singh
    Academic press:
    Mathematics (rok: 2020, tom: -, strony: -), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/math8071109 - link to the publication
  5. Closed-loop Nash equilibrium for a partial differential game with application to competitive personalized advertising
    Authors:
    Dominika Machowska, Andrzej Nowakowski, Agnieszka Wiszniewska-Matyszkiel
    Academic press:
    Automatica (rok: 2020, tom: -, strony: -), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Discontinuous Nash Equilibria in a Two Stage Linear-Quadratic Dynamic Game with Linear Constraints
    Authors:
    Rajani Singh, Agnieszka Wiszniewska-Matyszkiel
    Academic press:
    IEEE Transactions on Automatic Control (rok: 2019, tom: 64, strony: 3074-3079), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TAC.2018.2882160 - link to the publication
  7. A game theoretic analysis of resource mining in blockchain
    Authors:
    Rajani Singh, Ashutosh Dhar Dwivedi, Gautam Srivastava, Agnieszka Wiszniewska-Matyszkiel, Xiaochun Cheng
    Academic press:
    Cluster Computing (rok: 2020, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10586-020-03046-w - link to the publication
  8. Necessity of the terminal condition in the infinite horizon dynamic optimization problems with unbounded payoff
    Authors:
    Agnieszka Wiszniewska-Matyszkiel, Rajani Singh
    Academic press:
    Automatica (rok: 2021, tom: 123, strony: -), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.automatica.2020.109332 - link to the publication
  9. Verification and refinement of a two species Fish Wars model
    Authors:
    Oskar Górniewicz, Agnieszka Wiszniewska-Matyszkiel
    Academic press:
    Fisheries Research (rok: 2018, tom: 203, strony: 22-34), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.021 - link to the publication
  10. Self enforcing environmental agreements, delayed information and external enforcement in a continuous time Fish Wars model with state dependent constraints
    Authors:
    Rajani Singh, Agnieszka Wiszniewska-Matyszkiel
    Academic press:
    Journal of Optimization Theory and Applications (rok: 2020, tom: -, strony: -), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication

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