| Naslov: | The dynamics of a duopoly Stackelberg game with marginal costs among heterogeneous players |
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| Avtorji: | ID Ahmadi, Atefeh (Avtor)
ID Roy, Sourav (Avtor)
ID Mehrabbeik, Mahtab (Avtor)
ID Ghosh, Dibakar (Avtor)
ID Jafari, Sajad (Avtor)
ID Perc, Matjaž (Avtor) |
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| Datoteke: |  The_dynamics_of_a_duopoly_Stackelb-Ahmadi-2023.pdf (2,45 MB)
MD5: 79C3AF950AEAFA90DAAEEED034A96AD2
 https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0283757
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | One of the famous economic models in game theory is the duopoly Stackelberg model, in which a leader and a follower firm manufacture a single product in the market. Their goal is to obtain the maximum profit while competing with each other. The desired dynamics for a firm in a market is the convergence to its Nash equilibrium, but the dynamics of real-world markets are not always steady and can result in unpredictable market changes that exhibit chaotic behaviors. On the other hand, to approach reality more, the two firms in the market can be considered heterogeneous. The leader firm is bounded rationale, and the follower firm is adaptable. Modifying the cost function that affects the firms' profit by adding the marginal cost term is another step toward reality. We propose a Stackelberg model with heterogeneous players and marginal costs, which exhibits chaotic behavior. This model's equilibrium points, including the Nash equilibrium, are calculated by the backward induction method, and their stability analyses are obtained. The influence of changing each model parameter on the consequent dynamics is investigated through one-dimensional and two-dimensional bifurcation diagrams, Lyapunov exponents spectra, and Kaplan-Yorke dimension. Eventually, using a combination of state feedback and parameter adjustment methods, the chaotic solutions of the model are successfully tamed, and the model converges to its Nash equilibrium. |
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| Ključne besede: | nonlinear dynamics, game theory, stability analysis, public goods |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 11.11.2022 |
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| Datum sprejetja članka: | 16.03.2023 |
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| Datum objave: | 05.04.2023 |
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| Založnik: | Public Library of Science |
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| Leto izida: | 2023 |
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| Št. strani: | 22 str. |
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| Številčenje: | Vol. 18, iss. 4, article no. e0283757 |
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| PID: | 20.500.12556/DKUM-84868  |
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| UDK: | 53 |
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| COBISS.SI-ID: | 148649987 |
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| DOI: | 10.1371/journal.pone.0283757 |
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| ISSN pri članku: | 1932-6203 |
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| Datum objave v DKUM: | 02.08.2023 |
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| Število ogledov: | 652 |
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| Število prenosov: | 69 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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