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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.26487 |
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| _version_ | 1866911632471359488 |
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| author | Badev, Anton Pavlov, Martin Zlatanov, Boyan |
| author_facet | Badev, Anton Pavlov, Martin Zlatanov, Boyan |
| contents | We analyze a canonical extension of the Stackelberg duopoly to a sequential framework, where each firm strategically anticipates the reactions of all subsequent players. In a triopoly (three-firm) settings, we obtain existence and uniqueness of market equilibrium via a reformulation of the equilibrium conditions that draws on coupled fixed-point theory. Even with linear demand, convergence of myopic best-response dynamics is not guaranteed. A recursive equilibrium formulation enables the analysis of the limiting case as the number of participants grow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26487 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Equilibrium in the Canonical Stackelberg Triopoly via Response Functions and Fixed Point Theory Badev, Anton Pavlov, Martin Zlatanov, Boyan Functional Analysis 47H10, 54H25, 46B20, 65D15, 91A10 We analyze a canonical extension of the Stackelberg duopoly to a sequential framework, where each firm strategically anticipates the reactions of all subsequent players. In a triopoly (three-firm) settings, we obtain existence and uniqueness of market equilibrium via a reformulation of the equilibrium conditions that draws on coupled fixed-point theory. Even with linear demand, convergence of myopic best-response dynamics is not guaranteed. A recursive equilibrium formulation enables the analysis of the limiting case as the number of participants grow. |
| title | Equilibrium in the Canonical Stackelberg Triopoly via Response Functions and Fixed Point Theory |
| topic | Functional Analysis 47H10, 54H25, 46B20, 65D15, 91A10 |
| url | https://arxiv.org/abs/2604.26487 |