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Existence and uniqueness of equilibrium for a spatial model of social interactions

Author

Listed:
  • Adrien BLANCHET
  • Pascal MOSSAY
  • Filippo SANTAMBROGIO

Abstract

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Suggested Citation

  • Adrien BLANCHET & Pascal MOSSAY & Filippo SANTAMBROGIO, 2016. "Existence and uniqueness of equilibrium for a spatial model of social interactions," LIDAM Reprints CORE 2805, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2805
    Note: In : International Economic Review, 57(1), 31-59, 2016
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    Cited by:

    1. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
    2. Pascal Mossay & Pierre Picard, 2019. "Spatial segregation and urban structure," Journal of Regional Science, Wiley Blackwell, vol. 59(3), pages 480-507, June.
    3. Takashi Akamatsu & Tomoya Mori & Minoru Osawa & Yuki Takayama, 2019. "Spatial scale of agglomeration and dispersion: Number, spacing, and the spatial extent of cities," Papers 1912.05113, arXiv.org, revised Aug 2024.
    4. Takayama, Yuki & Kuwahara, Masao, 2017. "Bottleneck congestion and residential location of heterogeneous commuters," Journal of Urban Economics, Elsevier, vol. 100(C), pages 65-79.
    5. Carmen Camacho & Agustín Pérez-Barahona, 2017. "The diffusion of economic activity across space: a new approach," Working Papers halshs-01670532, HAL.
    6. Augeraud Veron, E. & Marhuenda, F. & Picard, P.M., 2021. "Local social interaction and urban equilibria," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 72-83.
    7. Osawa, Minoru & Akamatsu, Takashi, 2020. "Equilibrium refinement for a model of non-monocentric internal structures of cities: A potential game approach," Journal of Economic Theory, Elsevier, vol. 187(C).
    8. Carmen Camacho & Agustín Pérez-Barahona, 2017. "The diffusion of economic activity across space: a new approach," PSE Working Papers halshs-01670532, HAL.
    9. André de Palma & Zhi-Chun Li & De-Ping Yu, 2023. "An analytical model for residential location choices of heterogeneous households in a monocentric city with stochastic bottleneck congestion," THEMA Working Papers 2023-01, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    10. Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2017. "Discrete-space agglomeration model with social interactions: Multiplicity, stability, and continuous limit of equilibria," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 22-37.
    11. Zhi-Chun Li & De-Ping Yu & André de Palma, 2024. "Bottleneck congestion and urban spatial structure with heterogeneous households: Equilibrium, capacity expansion and congestion tolling," THEMA Working Papers 2024-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    12. Tomoya Mori, 2018. "Spatial Pattern and City Size Distribution," KIER Working Papers 996, Kyoto University, Institute of Economic Research.
    13. Zhi-Chun Li Author-Name : Wen-Jing Liu Author-Name : André de Palma, "undated". "Spatial heterogeneity in vehicle license plate lottery rationing," THEMA Working Papers 2024-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    14. Minoru Osawa & Takashi Akamatsu & Yosuke Kogure, 2020. "Stochastic stability of agglomeration patterns in an urban retail model," Papers 2011.06778, arXiv.org.

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