IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/75080.html
   My bibliography  Save this paper

Destination performance: Introducing the utility function in the mean-variance space

Author

Listed:
  • Zhang, Linjia
  • Botti, Laurent
  • Petit, Sylvain

Abstract

Economic characteristics of home countries can cause considerable variations in the tourism demand. For example, the average level of expenditure per tourist varies from one origin to another and these variations may alter overtime. Thus different tourist nationalities are associated with different level of expenditures and risks. Therefore strategies aimed at minimizing the variations may become an important issue for the policy makers. In this paper, we aim to use the productivity measurement theory in a mean-variance space to a French region (Nord Pas-de-Calais) by introducing the utility function in a mean-variance framework. With this method, we can calculate the optimal portfolio share for each origin and give some useful political advices to the policy decision makers to improve the performance of the tourist sector.

Suggested Citation

  • Zhang, Linjia & Botti, Laurent & Petit, Sylvain, 2016. "Destination performance: Introducing the utility function in the mean-variance space," MPRA Paper 75080, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:75080
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/75080/1/MPRA_paper_75080.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Walter Briec & Kristiaan Kerstens & Octave Jokung, 2007. "Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach," Management Science, INFORMS, vol. 53(1), pages 135-149, January.
    2. Barros, Carlos Pestana & Botti, Laurent & Peypoch, Nicolas & Robinot, Elisabeth & Solonandrasana, Bernardin & A., George Assaf, 2011. "Performance of French destinations: Tourism attraction perspectives," Tourism Management, Elsevier, vol. 32(1), pages 141-146.
    3. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    4. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    5. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    6. Rozenn Perrigot & Gérard Cliquet & Isabelle Piot-Lepetit, 2009. "Plural form chain and efficiency: Insights from theFrench hotel chains and the DEA methodology," Post-Print halshs-00422241, HAL.
    7. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    8. Nicolas Peypoch, 2007. "Productivité du secteur touristique français : une comparaison interrégionale," Économie et Prévision, Programme National Persée, vol. 177(1), pages 65-76.
    9. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    10. repec:kap:iaecre:v:10:y:2004:i:3:p:215-225 is not listed on IDEAS
    11. George Assaf, A., 2012. "Benchmarking the Asia Pacific tourism industry: A Bayesian combination of DEA and stochastic frontier," Tourism Management, Elsevier, vol. 33(5), pages 1122-1127.
    12. Rolf Färe & Shawna Grosskopf, 2000. "Theory and Application of Directional Distance Functions," Journal of Productivity Analysis, Springer, vol. 13(2), pages 93-103, March.
    13. Nicolas Peypoch, 2007. "Productivité du secteur touristique français : une comparaison interrégionale," Economie & Prévision, La Documentation Française, vol. 0(1), pages 65-76.
    14. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    15. Perrigot, Rozenn & Cliquet, Gérard & Piot-Lepetit, Isabelle, 2009. "Plural form chain and efficiency: Insights from the French hotel chains and the DEA methodology," European Management Journal, Elsevier, vol. 27(4), pages 268-280, August.
    16. Carlos Barros & Fernando Alves, 2004. "Productivity in the tourism industry," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 10(3), pages 215-225, October.
    17. Morey, Matthew R. & Morey, Richard C., 1999. "Mutual fund performance appraisals: a multi-horizon perspective with endogenous benchmarking," Omega, Elsevier, vol. 27(2), pages 241-258, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Luis Felipe Mendieta-Peñalver & José F Perles-Ribes & Ana B Ramón-Rodríguez & María J Such-Devesa, 2018. "Is hotel efficiency necessary for tourism destination competitiveness? An integrated approach," Tourism Economics, , vol. 24(1), pages 3-26, February.
    2. Laurent Botti & Sylvain Petit & Linjia Zhang, 2020. "Strategic decision concerning tourist origins portfolio: A decision process based on the ELECTRE method and applied to French Polynesia," Tourism Economics, , vol. 26(5), pages 830-843, August.
    3. 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.
    4. 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.
    5. Hanitra Rakotondramaro & Laurent Botti, 2018. "Optimizing tourist demands with utility efficient frontier," Tourism Economics, , vol. 24(2), pages 157-166, March.
    6. Wenbin Luo, 2018. "Evaluating Tourist Destination Performance: Expanding the Sustainability Concept," Sustainability, MDPI, vol. 10(2), pages 1-16, February.
    7. Tyagi, Akansha & Dhar, Rajib Lochan & Sharma, Jyoti, 2016. "Police culture, tourists and destinations: A study of Uttarakhand, India," Tourism Management, Elsevier, vol. 52(C), pages 563-573.
    8. 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.
    9. Lai, Shuying & Qiu, Jing & Tao, Yuechuan & Zhao, Junhua, 2021. "Risk hedging for gas power generation considering power-to-gas energy storage in three different electricity markets," Applied Energy, Elsevier, vol. 291(C).
    10. Bing Xia & Suocheng Dong & Duoxun Ba & Yu Li & Fujia Li & Haimeng Liu & Zehong Li & Minyan Zhao, 2018. "Research on the Spatial Differentiation and Driving Factors of Tourism Enterprises’ Efficiency: Chinese Scenic Spots, Travel Agencies, and Hotels," Sustainability, MDPI, vol. 10(4), pages 1-22, March.
    11. Milenkovski, Ace & Gjorgievski, Mijalce & Nakovski, Dejan, 2018. "Termal/Mineral Springs Industry: Need For Transformation In Function Of Tourism," UTMS Journal of Economics, University of Tourism and Management, Skopje, Macedonia, vol. 9(2), pages 181-187.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alberca-Oliver, Pilar & Rodríguez-Oromendía, Ainhoa & Parte-Esteban, Laura, 2015. "Measuring the efficiency of trade shows: A Spanish case study," Tourism Management, Elsevier, vol. 47(C), pages 127-137.
    2. Tarnaud, Albane Christine & Leleu, Hervé, 2018. "Portfolio analysis with DEA: Prior to choosing a model," Omega, Elsevier, vol. 75(C), pages 57-76.
    3. Kerstens, Kristiaan & Mounir, Amine & de Woestyne, Ignace Van, 2011. "Non-parametric frontier estimates of mutual fund performance using C- and L-moments: Some specification tests," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1190-1201, May.
    4. Kerstens, Kristiaan & Mounir, Amine & de Woestyne, Ignace Van, 2011. "Non-parametric frontier estimates of mutual fund performance using C- and L-moments: Some specification tests," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1190-1201, May.
    5. Rolf Färe & Xinju He & Sungko Li & Valentin Zelenyuk, 2019. "A Unifying Framework for Farrell Profit Efficiency Measurement," Operations Research, INFORMS, vol. 67(1), pages 183-197, January.
    6. Léopold Simar & Paul W. Wilson, 2015. "Statistical Approaches for Non-parametric Frontier Models: A Guided Tour," International Statistical Review, International Statistical Institute, vol. 83(1), pages 77-110, April.
    7. Youchao Tan & Udaya Shetty & Ali Diabat & T. Pakkala, 2015. "Aggregate directional distance formulation of DEA with integer variables," Annals of Operations Research, Springer, vol. 235(1), pages 741-756, December.
    8. Panayotis Alexakis & Ioannis Tsolas, 2011. "Appraisal of Mutual Equity Fund Performance Using Data Envelopment Analysis," Multinational Finance Journal, Multinational Finance Journal, vol. 15(3-4), pages 273-296, September.
    9. Nalpas, Nicolas & Simar, Leopold & Vanhems, Anne, 2016. "Portfolio Selection in a Multi-Input Multi-Output Setting:a Simple Monte-Carlo-FDH Algorithm," LIDAM Discussion Papers ISBA 2016022, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    10. Lado-Sestayo, Rubén & Fernández-Castro, Ángel Santiago, 2019. "The impact of tourist destination on hotel efficiency: A data envelopment analysis approach," European Journal of Operational Research, Elsevier, vol. 272(2), pages 674-686.
    11. Ravelojaona, Paola, 2019. "On constant elasticity of substitution – Constant elasticity of transformation Directional Distance Functions," European Journal of Operational Research, Elsevier, vol. 272(2), pages 780-791.
    12. Mehdiloo, Mahmood & Podinovski, Victor V., 2019. "Selective strong and weak disposability in efficiency analysis," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1154-1169.
    13. A. R. Jayaraman & Pradip Bhuyan, 2020. "Impact of NPA and loan write-offs on the profit efficiency of Indian banks," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 47(1), pages 35-48, March.
    14. Liang-Han Ma & Jin-Chi Hsieh & Yung-Ho Chiu, 2020. "Comparing regional differences in global energy performance," Energy & Environment, , vol. 31(6), pages 943-960, September.
    15. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    16. Lin, Ruiyue & Liu, Qian, 2021. "Multiplier dynamic data envelopment analysis based on directional distance function: An application to mutual funds," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1043-1057.
    17. Liu, Wenbin & Zhou, Zhongbao & Liu, Debin & Xiao, Helu, 2015. "Estimation of portfolio efficiency via DEA," Omega, Elsevier, vol. 52(C), pages 107-118.
    18. Brandouy, Olivier & Briec, Walter & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2010. "Portfolio performance gauging in discrete time using a Luenberger productivity indicator," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1899-1910, August.
    19. Subhash C. Ray, 2014. "Data Envelopment Analysis: An Overview," Working papers 2014-33, University of Connecticut, Department of Economics.
    20. Brandouy, Olivier & Briec, Walter & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2010. "Portfolio performance gauging in discrete time using a Luenberger productivity indicator," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1899-1910, August.

    More about this item

    Keywords

    Productivity measurement; Mean-variance; Tourism efficiency; Efficiency decomposition; Utility function; Nord Pas-de-Calais;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:75080. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.