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Versatile Stochastic Two-Sided Platform Models

Author

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  • Song-Kyoo (Amang) Kim

    (Faculty of Applied Sciences, Macao Polytechnic University, R. de Luis Gonzaga Gomes, Macao, China)

Abstract

This paper deals with the alternative mathematical modeling of the two-side platform. Two-sided platforms are specific multi-sided platforms that bring together two distinct groups of a model. The stochastic modeling by adapting various innovative mathematical methods including the first exceed theory and the stochastic pseudo-game theory has been applied for describing a two-sided platform more properly. A stochastic pseudo-game model is newly introduced to solve the two-sided platform more effectively. Analytically tractable results for operation thresholds for maximizing profits are provided and it also delivers the optimal balance of a two-sided platform. The paper includes how these innovative models are applied into various two-sided market situations. Additionally, users could conduct these multi-sided models to real business developments and the case practices of these unique models shall help the readers who want to find recommendations of their business situations easily even without having any mathematical background.

Suggested Citation

  • Song-Kyoo (Amang) Kim, 2022. "Versatile Stochastic Two-Sided Platform Models," Mathematics, MDPI, vol. 11(1), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:131-:d:1016877
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    References listed on IDEAS

    as
    1. Marc Rysman, 2009. "The Economics of Two-Sided Markets," Journal of Economic Perspectives, American Economic Association, vol. 23(3), pages 125-143, Summer.
    2. Song-Kyoo (Amang) Kim, 2021. "Enhanced IoV Security Network by Using Blockchain Governance Game," Mathematics, MDPI, vol. 9(2), pages 1-13, January.
    3. Song-Kyoo Kim, 2019. "Advanced Mathematical Business Strategy Formulation Design," Papers 1908.06890, arXiv.org, revised Sep 2020.
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    7. Song-Kyoo (Amang) Kim, 2022. "Shifted Brownian Fluctuation Game," Mathematics, MDPI, vol. 10(10), pages 1-12, May.
    8. Song-Kyoo (Amang) Kim, 2020. "A Versatile Stochastic Duel Game," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
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    15. Kojima, Fuhito, 2012. "School choice: Impossibilities for affirmative action," Games and Economic Behavior, Elsevier, vol. 75(2), pages 685-693.
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