Long-Run Equilibrium in the Market of Mobile Services in the USA
We develop an empirical model of the market for mobile services in the USA based on providers’ response functions. Guided by a duopoly model, we obtain our empirical response functions from an approximation of quarterly response data on smartphone subscriptions by sigmoid functions of time. The robu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/5/724 |
| _version_ | 1797264170304929792 |
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| author | Anton Badev Stanimir Kabaivanov Petar Kopanov Vasil Zhelinski Boyan Zlatanov |
| author_facet | Anton Badev Stanimir Kabaivanov Petar Kopanov Vasil Zhelinski Boyan Zlatanov |
| author_sort | Anton Badev |
| collection | DOAJ |
| description | We develop an empirical model of the market for mobile services in the USA based on providers’ response functions. Guided by a duopoly model, we obtain our empirical response functions from an approximation of quarterly response data on smartphone subscriptions by sigmoid functions of time. The robustness analysis suggests that our model fits the data well and outperforms the regression model. Further, we demonstrate that our empirical response functions satisfy the conditions for semi-cyclic contractions which guarantee the existence, uniqueness and stability of long-run equilibrium. |
| first_indexed | 2024-04-25T00:24:38Z |
| format | Article |
| id | doaj.art-a5eb05e2760e49838e9ca31c052ca954 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-25T00:24:38Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a5eb05e2760e49838e9ca31c052ca9542024-03-12T16:50:05ZengMDPI AGMathematics2227-73902024-02-0112572410.3390/math12050724Long-Run Equilibrium in the Market of Mobile Services in the USAAnton Badev0Stanimir Kabaivanov1Petar Kopanov2Vasil Zhelinski3Boyan Zlatanov4Division of Supervision and Regulation, Federal Reserve Board of Governors, Washington, DC 20551, USADepartment of Finance and Accounting, Faculty of Economics and Social Sciences, University of Plovdiv Paisii Hilendarski, 4000 Plovdiv, BulgariaDepartment of Mathematical Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 4000 Plovdiv, BulgariaDepartment of Mathematical Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 4000 Plovdiv, BulgariaDepartment of Mathematical Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 4000 Plovdiv, BulgariaWe develop an empirical model of the market for mobile services in the USA based on providers’ response functions. Guided by a duopoly model, we obtain our empirical response functions from an approximation of quarterly response data on smartphone subscriptions by sigmoid functions of time. The robustness analysis suggests that our model fits the data well and outperforms the regression model. Further, we demonstrate that our empirical response functions satisfy the conditions for semi-cyclic contractions which guarantee the existence, uniqueness and stability of long-run equilibrium.https://www.mdpi.com/2227-7390/12/5/724duopoly equilibriumresponse functionsmobile market |
| spellingShingle | Anton Badev Stanimir Kabaivanov Petar Kopanov Vasil Zhelinski Boyan Zlatanov Long-Run Equilibrium in the Market of Mobile Services in the USA Mathematics duopoly equilibrium response functions mobile market |
| title | Long-Run Equilibrium in the Market of Mobile Services in the USA |
| title_full | Long-Run Equilibrium in the Market of Mobile Services in the USA |
| title_fullStr | Long-Run Equilibrium in the Market of Mobile Services in the USA |
| title_full_unstemmed | Long-Run Equilibrium in the Market of Mobile Services in the USA |
| title_short | Long-Run Equilibrium in the Market of Mobile Services in the USA |
| title_sort | long run equilibrium in the market of mobile services in the usa |
| topic | duopoly equilibrium response functions mobile market |
| url | https://www.mdpi.com/2227-7390/12/5/724 |
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