International Society of Dynamic Games

  • DGA Seminar: Vassili Kolokoltsov

    Vassili N. Kolokoltsov
    High School of Economics
    Russia

    Dynamic Games and Applications Seminar

    Principle of quadratic fines for inspection/corruption games

    October 19, 2023
    11:00 AM — 12:00 PM (Montreal time)

    Webinar link

    Games of inspection and corruption are well developed in the game-theoretic literature. In author’s paper “Inspection -corruption game of illegal logging and other violations: generalized evolutionary approach” (Mathematics MDPI 2021, 9(14), 1619) a generalised evolutionary approach was developed based on the general framework of the pressure -resistance games of author’s paper “The evolutionary game of pressure (or interference), resistance and collaboration” (Mathematics of Operations Research), 42 (2017), no. 4, 915 – 944). An evolution of a two-level hierarchy was constructed, where a local inspector can be corrupted and is further controlled by the higher authority. Concerning a mathematical novelty, the model led to a switching generalised replicator dynamics (kinetic equations), where switching occurred on the effective frontier of corruption.

    In this framework the “principle of quadratic fines” was discovered stating that the quadratic growth of the fine function allows one to effectively control the level of violations. In the talk we present these ideas together with some recent developments showing the robustness of the principle of quadratic fine by extending the model in various directions.

  • DGA Seminar: Bacel Maddah

    Bacel Maddah
    American University of Beirut
    Lebanon

    Dynamic Games and Applications Seminar

    Pricing, Assortment, and Inventory Decisions under Nested Logit Demand and Equal Profit Margins

    October 12, 2023
    11:00 AM — 12:00 PM (Montreal time)

    Webinar link

    We consider the interdependent decisions on assortment, inventory and pricing of substitutable products under a nested logit consumer choice, and a single-period, newsvendor-type, supply setting. This applies to fashion goods. We assume that all products have equal profit margins. Under a Taylor series-type approximation, we derive several concavity properties of the expected profit function, and gain insights into the structure of the optimal solution. Our results allow developing an efficient, single-variable search, heuristic for jointly deciding on assortment, pricing, and inventory decisions. We argue that our approach continues to hold under more general consumer choice.

  • DGA Seminar: Luluwah Al Fagih

    Luluwah Al Fagih
    Hamad Bin Khalifa University
    Qatar

    Dynamic Games and Applications Seminar

    Game Theoretic Approaches for Smart Communities

    September 28, 2023
    11:00 AM — 12:00 PM (Montreal time)

    Webinar link

    In the first part of this talk, a smart energy management scheme based on a non-cooperative dynamic game approach will be presented. The game participants compete for the lowest electricity bill by scheduling their individual energy storage systems. The developed system takes advantage of a pricing tariff offered by a utility company that aims at flattening the aggregated load of a neighbourhood of households during peak times. Simulations show whether a game theoretic approach between households is more efficient than an individualistic one and if a near-constant load can be achieved when a critical mass of battery owners is available. In the second part of this talk, the energy scheduling game will be mapped to address the issue of the shortage of Personal Protective Equipment (PPE) that occurred during the COVID-19 outbreak. Experiments conducted for NHS England regions using actual data confirm that the challenge of securing PPE supply during disasters such as COVID-19 can be eased if specific stock management procedures are adopted.