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Abstract
This paper studies the cusp catastrophe in a two-strategy population game with exogenous locational asymmetries and its application to spatial economics. We derive approximating games of two kinds: a cusp catastrophe form and a more general form. As a novel contribution of this paper, the effects of an arbitrary number of regional asymmetries are expressed using only three asymmetry parameters, thereby allowing for an analytical analysis. We find a new behavior with hysteresis using the general form. The usefulness of the forms is demonstrated for two economic geography models. A numerical recipe is presented to construct the cusp catastrophe form.
| Original language | English |
|---|---|
| Pages (from-to) | 961-980 |
| Number of pages | 20 |
| Journal | Journal of Regional Science |
| Volume | 62 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Sept 2022 |
Keywords
- Cusp catastrophe
- Exogenous asymmetries
- Hysteresis
- Perturbed pitchfork bifurcation
- Spatial economics
- Two-strategy population game
- Universal unfolding
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Dive into the research topics of 'Perturbed cusp catastrophe in a population game: spatial economics with locational asymmetries'. Together they form a unique fingerprint.Projects
- 2 Active
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CEGE: Research Center in Management and Economics
Silva, M. (Full Professor), Sousa, R. (Full Professor), Alves, P. (Assistant Professor), Madsen, A. (Invited Assistant Professor), Lourenço, A. (Associate Professor), Carvalho, A. S. (Associate Professor), Andrade, A. (Assistant Professor), Silva, P. D. (Associate Professor), Vlačić, B. (Invited Assistant Professor), Martins, C. (Invited Assistant Professor), Gomes, C. (Auxiliary Researcher), Gevrek, Z. E. (Invited Assistant Professor), Oliveira, F. G. D. (Associate Professor), Faria, G. (Invited Associate Professor), Marreiros, H. (Scholarship holder), Pinho, J. (Invited Assistant Professor), Machado, J. (Associate Professor), Araújo, J. (Auxiliary Researcher), Pinto, J. (Assistant Professor), Rego, A. (Full Professor), Gaspar, J. M. (Auxiliary Researcher), Corbo, L. (Invited Assistant Professor), Costa, L. (Associate Professor), Fernandes, L. (Assistant Professor), Sottomayor, M. (Assistant Professor), Martins, N. (Full Professor), Hernández-Marrero, P. (Auxiliary Researcher), Gonçalves, R. (Associate Professor), Ribeiro, R. (PI), Coelho, S. L. (Assistant Teacher), Pereira, S. M. (Auxiliary Researcher), Silva, S. (Associate Professor), Rodrigues, V. (Associate Professor), Sotiros, D. G. (Auxiliary Researcher), Valverde, C. (Assistant Professor), Leitão, A. (Assistant Professor), Julião, J. (Assistant Professor), Tavares, M. (Assistant Professor), Lages, C. R. (Auxiliary Researcher), Elmashhara, M. G. (Auxiliary Researcher) & Teymourifar, A. (Auxiliary Researcher)
1/01/20 → 31/12/24
Project: Research
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CEEC Individual - José Gaspar: New Economic Geography, Regional Development, Innovation and Migrations
Gaspar, J. M. (PI)
15/04/19 → 14/04/25
Project: Research