Obiekt
Tytuł: Modeling shortest path games with Petri nets: A Lyapunov based theory
Współtwórca:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Tytuł publikacji grupowej:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
Strony:
Źródło:
AMCS, volume 16, number 3 (2006) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2006)
Data ostatniej modyfikacji:
2024-11-05
Data dodania obiektu:
2020-08-26
Liczba wyświetleń treści obiektu:
109
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)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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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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| Nazwa wydania | Data |
|---|---|
| Modeling shortest path games with Petri nets: A Lyapunov based theory | 2024-11-05 |
