Repozytorium Uniwersytetu Zielonogórskiego udostępnia 9 465 obiektów cyfrowych
Obiekt
Tytuł: Modeling shortest path games with Petri nets: A Lyapunov based theory
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
In this paper we introduce a new modeling paradigm for shortest path games representation with Petri nets. Whereas previous works have restricted attention to tracking the net using Bellman's equation as a utility function, this work uses a Lyapunov-like function. ; In this sense, we change the traditional cost function by a trajectory-tracking function which is also an optimal cost-to-target function. This makes a significant difference in the conceptualization of the problem domain, allowing the replacement of the Nash equilibrium point by the Lyapunov equilibrium point in game theory. ; We show that the Lyapunov equilibrium point coincides with the Nash equilibrium point. As a consequence, all properties of equilibrium and stability are preserved in game theory. This is the most important contribution of this work. The potential of this approach remains in its formal proof simplicity for the existence of an equilibrium point.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 16, number 3 (2006) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2006)
Data ostatniej modyfikacji:
14 lip 2025
Data dodania obiektu:
26 sie 2020
Liczba wyświetleń treści obiektu:
269
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/64107
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16, number 1 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16, number 2 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16, number 3 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16, number 4 (2006)
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| Nazwa wydania | Data |
|---|---|
| Modeling shortest path games with Petri nets: A Lyapunov based theory | 14 lip 2025 |
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