Long-Run Equilibrium in the Market of Mobile Services in the USA

被引：1

作者：

Badev, Anton ^{[1
]}

Kabaivanov, Stanimir ^{[2
]}

Kopanov, Petar ^{[3
]}

Zhelinski, Vasil ^{[3
]}

Zlatanov, Boyan ^{[3
]}

机构：

[1] Fed Reserve Board Governors, Div Supervis & Regulat, Washington, DC 20551 USA

[2] Univ Plovdiv Paisii Hilendarski, Fac Econ & Social Sci, Dept Finance & Accounting, Plovdiv 4000, Bulgaria

[3] Univ Plovdiv Paisii Hilendarski, Fac Math & Informat, Dept Math Anal, Plovdiv 4000, Bulgaria

来源：

MATHEMATICS | 2024年 / 12卷 / 05期

关键词：

duopoly equilibrium; response functions; mobile market; DYNAMIC OLIGOPOLY; POINTS;

D O I：

10.3390/math12050724

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：21

共 50 条

[1] RICARDOS LONG-RUN EQUILIBRIUM
BREMS, H
[J]. HISTORY OF POLITICAL ECONOMY, 1970, 2 (02) : 225 - 245
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[J]. JOURNAL OF PROPERTY RESEARCH, 2015, 32 (04) : 301 - 323
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Pengju Zhao
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[J]. Journal of Systems Science and Systems Engineering, 2020, 29 : 55 - 67
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Choi, Hyung-Suk
[J]. ZBORNIK RADOVA EKONOMSKOG FAKULTETA U RIJECI-PROCEEDINGS OF RIJEKA FACULTY OF ECONOMICS, 2014, 32 (01): : 101 - 119
[5] The Evolution Dynamic and Long-Run Equilibrium in a Stock Market with Heterogeneous Traders
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Zhang, Wei
Liu, Yumin
[J]. JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2020, 29 (01) : 55 - 67
[6] Black Market and Official Exchange Rates: Long-run Equilibrium and Short-run Dynamics
Caporale, Guglielmo Maria
Cerrato, Mario
[J]. REVIEW OF INTERNATIONAL ECONOMICS, 2008, 16 (03) : 401 - 412
[7] LONG-RUN INDUSTRY EQUILIBRIUM WITH UNCERTAINTY
APPELBAUM, E
LIM, C
[J]. ECONOMICS LETTERS, 1982, 9 (02) : 139 - 145
[8] THEORY OF FIRM IN LONG-RUN EQUILIBRIUM
SILBERBERG, E
[J]. AMERICAN ECONOMIC REVIEW, 1974, 64 (04): : 734 - 741
[9] The long-run effects of risk: an equilibrium approach
van der Kwaak, Christiaan
Madeira, Joao
Palma, Nuno
[J]. EUROPEAN ECONOMIC REVIEW, 2023, 153
[10] THE COMPARATIVE STATICS OF INDUSTRY LONG-RUN EQUILIBRIUM
DIEWERT, WE
[J]. CANADIAN JOURNAL OF ECONOMICS-REVUE CANADIENNE D ECONOMIQUE, 1981, 14 (01): : 78 - 92

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