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Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: the case of the star-rated hotel industry in China

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  • Walheer, Barnabé

    (Division of Economics, Xi'an Jiaotong-Liverpool University)

  • Zhang, Linjia

    (Division of Economics, Xi'an Jiaotong-Liverpool)

Abstract

Due to the vigorous economic development of the tourism industry in China, the number of star-rated hotels has rapidly increased. As a result, techniques to evaluate the performances of the star-rated hotels have gained in popularity. In this paper, we develop two indexes for dynamic settings: the profit Luenberger and Malmquist-Luenberger indexes. The distinguishing features of our indexes are three-fold. One, we adopt an economic perspective by considering that hotels are profit maximizers. Two, we model hotels as multi-activity decision making units by considering that they provide multiple services. Three, our indexes are nonparametric, and work when prices are partially observed. We apply our technique to 30 provinces in 2005-2015. We find that star-rated hotels present better performances over time, but not for every activity. Next, we highlight particular patterns for the provinces. These results are useful for managers to better target their investments, and also for policy makers.

Suggested Citation

  • Walheer, Barnabé & Zhang, Linjia, 2018. "Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: the case of the star-rated hotel industry in China," RIEI Working Papers 2018-06, Xi'an Jiaotong-Liverpool University, Research Institute for Economic Integration.
    • Handle: RePEc:xjt:rieiwp:2018-06
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    3. Hai Dong & Nicolas Peypoch & Linjia Zhang, 2020. "Do contextual factors matter? Evidence from Chinese hotel productivity with heterogeneity," Tourism Economics, , vol. 26(2), pages 257-275, March.
    4. Hai Dong & Qi-Bin Liang & Nicolas Peypoch, 2023. "Tourist attractions in efficiency analysis," Tourism Economics, , vol. 29(3), pages 835-841, May.
    5. Yu, Ming-Miin, 2020. "Nerlovian profit inefficiency in non-fully-competitive settings: Definition and decomposition," Omega, Elsevier, vol. 90(C).
    6. Sinwoo Lee & Dong-Woon Noh & Dong-hyun Oh, 2018. "Characterizing the Difference between Indirect and Direct CO 2 Emissions: Evidence from Korean Manufacturing Industries, 2004–2010," Sustainability, MDPI, vol. 10(8), pages 1-16, August.
    7. Walheer, Barnabé, 2023. "Meta-frontier and technology switchers: A nonparametric approach," European Journal of Operational Research, Elsevier, vol. 305(1), pages 463-474.
    8. Barnabé Walheer, 2019. "Disaggregation for efficiency analysis," Journal of Productivity Analysis, Springer, vol. 51(2), pages 137-151, June.
    9. Walheer, Barnabé & Zhang, Linjia & Luo, Yingchan, 2020. "Bidirectional technological spillover in the Chinese star-rated hotel sector: An empirical investigation," Economic Modelling, Elsevier, vol. 86(C), pages 210-226.
    10. Miao, Zhuang & Chen, Xiaodong & Baležentis, Tomas, 2021. "Improving energy use and mitigating pollutant emissions across “Three Regions and Ten Urban Agglomerations”: A city-level productivity growth decomposition," Applied Energy, Elsevier, vol. 283(C).
    11. Barnabé Walheer, 2019. "Dynamic directional nonparametric profit efficiency analysis for a single decision-making unit: an aggregation approach," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 1123-1149, December.
    12. Zheng Wang & Jinhua Luo, 2024. "Evaluating the tourism green productivity and its driving factors in the context of climate change," Tourism Economics, , vol. 30(3), pages 655-679, May.
    13. Pengxia Shen & Ping Yin & Bingjie Niu, 2023. "Assessing the Combined Effects of Transportation Infrastructure on Regional Tourism Development in China Using a Spatial Econometric Model (GWPR)," Land, MDPI, vol. 12(1), pages 1-18, January.
    14. Barnabé Walheer, 2020. "Output, input, and undesirable output interconnections in data envelopment analysis: convexity and returns-to-scale," Annals of Operations Research, Springer, vol. 284(1), pages 447-467, January.
    15. Walheer, Barnabe & Hudik, Marek, 2019. "Reallocation of resources in multidivisional firms: A nonparametric approach," International Journal of Production Economics, Elsevier, vol. 214(C), pages 196-205.
    16. Papaioannou, Grammatoula & Podinovski, Victor V., 2023. "Multicomponent production technologies with restricted allocations of shared inputs and outputs," European Journal of Operational Research, Elsevier, vol. 308(1), pages 274-289.
    17. Anestis Fotiadis & Guych Nuryyev & Jennet Achyldurdyyeva & Anastasia Spyridou, 2019. "The Impact of EU Sponsorship, Size, and Geographic Characteristics on Rural Tourism Development," Sustainability, MDPI, vol. 11(8), pages 1-15, April.

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    Keywords

    destination management; profit efficiency; Luenberger index; Malmquist-Luenberger index; multi-activity; hotel; China.;
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