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Estimations of cost metafrontier Malmquist productivity index: using international tourism hotels in Taiwan as an example

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  • Tsui-Yueh Cho

    (National Taichung University of Science and Technology)

  • Tsai-Yi Wang

    (National Taichung University of Science and Technology)

Abstract

This study introduces a novel way of calculating and analyzing cost metafrontier Malmquist productivity index model (CMMPI) under variable return to scale measurement. The CMMPI which reflects operational performance more comprehensively and determine ways of enhancing future competiveness, not only estimates efficiency change but also decomposes gap ratio thus enabling the decision making unit to differentiate group frontier from metafrontier within the broad definition of “catch-up.” Empirical results show that the CMMPI of international tourism hotels in Taiwan declined by 0.9% from 2002 to 2010 mainly because of the deterioration of meta-technical efficiency change, meta-allocative efficiency change, meta-cost scale efficiency change, and the meta-input price effect change. Empirical results suggest that the completeness of cost approach is useful for exploring the characteristics of the Taiwanese international tourism hotel industry. Moreover, the international chain hotel is significantly superior to independent hotels in meta-cost efficiency, meta-technical efficiency, and meta-allocative efficiency, and several managerial insights and implications are discussed.

Suggested Citation

  • Tsui-Yueh Cho & Tsai-Yi Wang, 2018. "Estimations of cost metafrontier Malmquist productivity index: using international tourism hotels in Taiwan as an example," Empirical Economics, Springer, vol. 55(4), pages 1661-1694, December.
    • Handle: RePEc:spr:empeco:v:55:y:2018:i:4:d:10.1007_s00181-017-1329-z
    DOI: 10.1007/s00181-017-1329-z
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    Cited by:

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    2. Yoo Ri Kim & Anyu Liu & Allan M Williams, 2022. "Competitiveness in the visitor economy: A systematic literature review," Tourism Economics, , vol. 28(3), pages 817-842, May.
    3. Cho, Tsui-Yueh & Chen, Yi-Shuan, 2021. "The impact of financial technology on China’s banking industry: An application of the metafrontier cost Malmquist productivity index," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    4. Chin‐wei Huang & Hsiao‐Yin Chen, 2023. "Using nonradial metafrontier data envelopment analysis to evaluate the metatechnology and metafactor ratios for the Taiwanese hotel industry," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(4), pages 1904-1919, June.
    5. Ming-Miin Yu & Li-Hsueh Chen, 2020. "A meta-frontier network data envelopment analysis approach for the measurement of technological bias with network production structure," Annals of Operations Research, Springer, vol. 287(1), pages 495-514, April.
    6. Wei, Fangqing & Peng, Fei & Liu, Mengyue & Jiang, Ruixue, 2024. "Carbon productivity growth in China's thermal power industry: Empirical evidence using a bootstrapped Malmquist-Luenberger productivity index approach with fixed-sum undesirable outputs," Energy, Elsevier, vol. 304(C).

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    More about this item

    Keywords

    International tourism hotels; Cost metafrontier Malmquist productivity index; Data envelopment analysis; Allocative efficiency;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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