IDEAS home Printed from https://ideas.repec.org/p/tor/tecipa/tecipa-457.html
   My bibliography  Save this paper

Dynamic Spatial Competition Between Multi-Store Firms

Author

Listed:
  • Victor Aguirregabiria
  • Gustavo Vicentini

Abstract

We propose a dynamic model of an oligopoly industry characterized by spatial competition between multi-store retailers. Firms compete in prices and decide where to open or close stores depending on demand conditions and the number of competitors at different locations, and on location-specific private-information shocks. We develop an algorithm to approximate a Markov Perfect Equilibrium in our model, and propose a procedure for the estimation of the parameters of the model using panel data on number of stores, prices, and quantities at multiple geographic locations within a city. We also present numerical examples to illustrate the model and algorithm.

Suggested Citation

  • Victor Aguirregabiria & Gustavo Vicentini, 2012. "Dynamic Spatial Competition Between Multi-Store Firms," Working Papers tecipa-457, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-457
    as

    Download full text from publisher

    File URL: https://www.economics.utoronto.ca/public/workingPapers/tecipa-457.pdf
    File Function: Main Text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ariel Pakes & Michael Ostrovsky & Steven Berry, 2007. "Simple estimators for the parameters of discrete dynamic games (with entry/exit examples)," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 373-399, June.
    2. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 964-982, December.
    3. Aguirregabiria, Victor & Nevo, Aviv, 2010. "Recent developments in empirical IO: dynamic demand and dynamic games," MPRA Paper 27814, University Library of Munich, Germany.
    4. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    5. Ronald S. Jarmin & Shawn D. Klimek & Javier Miranda, 2009. "The Role of Retail Chains: National, Regional and Industry Results," NBER Chapters, in: Producer Dynamics: New Evidence from Micro Data, pages 237-262, National Bureau of Economic Research, Inc.
    6. B. Curtis Eaton & Richard G. Lipsey, 1975. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 27-49.
    7. Thomas J. Holmes, 2006. "The Diffusion of Wal-Mart and Economies of Density," 2006 Meeting Papers 15, Society for Economic Dynamics.
    8. Ariel Pakes & Paul McGuire, 1994. "Computing Markov-Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model," RAND Journal of Economics, The RAND Corporation, vol. 25(4), pages 555-589, Winter.
    9. Hay, D A, 1976. "Sequential Entry and Entry-Deterring Strategies in Spatial Competition," Oxford Economic Papers, Oxford University Press, vol. 28(2), pages 240-257, July.
    10. Giacomo Bonanno, 1987. "Location Choice, Product Proliferation and Entry Deterrence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 37-45.
    11. Douglas S. West, 1981. "Testing for Market Preemption Using Sequential Location Data," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 129-143, Spring.
    12. Kenneth L. Judd, 1985. "Credible Spatial Preemption," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 153-166, Summer.
    13. Patrick Bajari & C. Lanier Benkard & Jonathan Levin, 2007. "Estimating Dynamic Models of Imperfect Competition," Econometrica, Econometric Society, vol. 75(5), pages 1331-1370, September.
    14. Victor Aguirregabiria & Pedro Mira, 2002. "Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models," Econometrica, Econometric Society, vol. 70(4), pages 1519-1543, July.
    15. , & ,, 2010. "A theory of regular Markov perfect equilibria in dynamic stochastic games: genericity, stability, and purification," Theoretical Economics, Econometric Society, vol. 5(3), September.
    16. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    17. W.J. Lane, 1980. "Product Differentiation in a Market with Endogenous Sequential Entry," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 237-260, Spring.
    18. Ulrich Doraszelski & Mark Satterthwaite, 2010. "Computable Markov‐perfect industry dynamics," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 215-243, June.
    19. Fernando Bernstein & A. Gürhan Kök, 2009. "Dynamic Cost Reduction Through Process Improvement in Assembly Networks," Management Science, INFORMS, vol. 55(4), pages 552-567, April.
    20. Joris Pinkse & Margaret E. Slade & Craig Brett, 2002. "Spatial Price Competition: A Semiparametric Approach," Econometrica, Econometric Society, vol. 70(3), pages 1111-1153, May.
    21. Victor Aguirregabiria, 1999. "The Dynamics of Markups and Inventories in Retailing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 275-308.
    22. Ting Zhu & Vishal Singh, 2009. "Spatial competition with endogenous location choices: An application to discount retailing," Quantitative Marketing and Economics (QME), Springer, vol. 7(1), pages 1-35, March.
    23. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064, September.
    24. Che‐Lin Su & Kenneth L. Judd, 2012. "Constrained Optimization Approaches to Estimation of Structural Models," Econometrica, Econometric Society, vol. 80(5), pages 2213-2230, September.
    25. Aguirregabiria, Victor, 2012. "A method for implementing counterfactual experiments in models with multiple equilibria," Economics Letters, Elsevier, vol. 114(2), pages 190-194.
    26. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314, September.
    27. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    28. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040, September.
    29. John Rust, 1997. "Using Randomization to Break the Curse of Dimensionality," Econometrica, Econometric Society, vol. 65(3), pages 487-516, May.
    30. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    31. B. Curtis Eaton, 1972. "Spatial Competition Revisited," Canadian Journal of Economics, Canadian Economics Association, vol. 5(2), pages 268-278, May.
    32. Echenique, Federico, 2007. "Finding all equilibria in games of strategic complements," Journal of Economic Theory, Elsevier, vol. 135(1), pages 514-532, July.
    33. Stephen P. Ryan, 2012. "The Costs of Environmental Regulation in a Concentrated Industry," Econometrica, Econometric Society, vol. 80(3), pages 1019-1061, May.
    34. Paul Ellickson & Beresteanu Arie, 2005. "The Dynamics of Retail Oligopolies," 2005 Meeting Papers 829, Society for Economic Dynamics.
    35. Richard Schmalensee, 1978. "Entry Deterrence in the Ready-to-Eat Breakfast Cereal Industry," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 305-327, Autumn.
    36. ANDERSON, Simon P. & de PALMA, André & THISSE, Jacques-François, 1992. "Interpretations of the logit discrete choice models and the theory of product differentiation," LIDAM Reprints CORE 1017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    37. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105, September.
    38. Ho, Katherine & Ishii, Joy, 2011. "Location and competition in retail banking," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 537-546, September.
    39. Panle Jia, 2008. "What Happens When Wal-Mart Comes to Town: An Empirical Analysis of the Discount Retailing Industry," Econometrica, Econometric Society, vol. 76(6), pages 1263-1316, November.
    40. Aguirregabiria, Victor & Vicentini, Gustavo, 2007. "Software for the Computation of Markov-Perfect Equilibria in a Dynamic Game of Store Location by Multi-Store Firms," MPRA Paper 17035, University Library of Munich, Germany.
    41. Paul B. Ellickson & Stephanie Houghton & Christopher Timmins, 2013. "Estimating network economies in retail chains: a revealed preference approach," RAND Journal of Economics, RAND Corporation, vol. 44(2), pages 169-193, June.
    42. Neven, Damien J., 1987. "Endogenous sequential entry in a spatial model," International Journal of Industrial Organization, Elsevier, vol. 5(4), pages 419-434.
    43. Douglas S. West, 1981. "Tests of Two Locational Implications of a Theory of Market Pre-Emption," Canadian Journal of Economics, Canadian Economics Association, vol. 14(2), pages 313-326, May.
    44. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
    45. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057, September.
    46. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.
    47. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 964-982, December.
    48. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-781, July.
    49. Edward C. Prescott & Michael Visscher, 1977. "Sequential Location among Firms with Foresight," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 378-393, Autumn.
    50. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    51. Margaret E. Slade, 2005. "The Role of Economic Space in Decision Making," Annals of Economics and Statistics, GENES, issue 77, pages 1-20.
    52. Tabuchi, Takatoshi, 1994. "Two-stage two-dimensional spatial competition between two firms," Regional Science and Urban Economics, Elsevier, vol. 24(2), pages 207-227, April.
    53. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    54. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December.
    55. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165, September.
    56. repec:adr:anecst:y:2005:i:77:p:01 is not listed on IDEAS
    57. Andrew Sweeting, 2013. "Dynamic Product Positioning in Differentiated Product Markets: The Effect of Fees for Musical Performance Rights on the Commercial Radio Industry," Econometrica, Econometric Society, vol. 81(5), pages 1763-1803, September.
    58. Andrew Eckert & Douglas West, 2008. "Radius Restrictions on Retail Chains and the Similarity of Neighboring Shopping Centers," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 15(3), pages 281-300.
    59. Paul B. Ellickson & Stephanie Houghton & Christopher Timmins, 2010. "Estimating Network Economies in Retail Chains: A Revealed Preference Approach," NBER Working Papers 15832, National Bureau of Economic Research, Inc.
    60. C. Lanier Benkard, 2004. "A Dynamic Analysis of the Market for Wide-Bodied Commercial Aircraft," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 581-611.
    61. Joris Pinkse & Margaret E. Slade, 2010. "The Future Of Spatial Econometrics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 103-117, February.
    62. Timothy Dunne & J. Bradford Jensen & Mark J. Roberts, 2009. "Producer Dynamics: New Evidence from Micro Data," NBER Books, National Bureau of Economic Research, Inc, number dunn05-1.
    63. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    64. Jean-Francois Houde, 2012. "Spatial Differentiation and Vertical Mergers in Retail Markets for Gasoline," American Economic Review, American Economic Association, vol. 102(5), pages 2147-2182, August.
    65. Victor Aguirregabiria, 2007. "Comment: Identification of a Simple Dynamic Discrete Game under Rationalizability," Working Papers tecipa-299, University of Toronto, Department of Economics.
    66. Katja Seim, 2006. "An empirical model of firm entry with endogenous product‐type choices," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 619-640, September.
    67. Ulrich Doraszelski & Mark Satterthwaite, 2003. "Foundations of Markov-Perfect Industry Dynamics. Existence, Purification, and Multiplicity," Discussion Papers 1383, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    68. Rust, John, 1996. "Numerical dynamic programming in economics," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 14, pages 619-729, Elsevier.
    69. H. M. Amman & D. A. Kendrick & J. Rust (ed.), 1996. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 1, number 1.
    70. Margaret E. Slade, 1992. "Vancouver's Gasoline-Price Wars: An Empirical Exercise in Uncovering Supergame Strategies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 257-276.
    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. Christopher Heard & Flavio M Menezes & Alicia N Rambaldi, 2018. "The dynamics of bank location decisions in Australia," Australian Journal of Management, Australian School of Business, vol. 43(2), pages 241-262, May.
    2. Carlos A. Manzanares & Ying Jiang & Patrick Bajari, 2015. "Improving Policy Functions in High-Dimensional Dynamic Games," NBER Working Papers 21124, National Bureau of Economic Research, Inc.
    3. Stefano Colombo & Zemin Hou, 2019. "On spatial competition with quadratic transport costs and one online firm," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 63(1), pages 241-247, August.
    4. Bunyada Laoprapassorn, 2022. "Entry and Spatial Competition of Intermediaries: Evidence from Thailand's Rice Market," PIER Discussion Papers 170, Puey Ungphakorn Institute for Economic Research.
    5. Rebolledo, Mayra, 2020. "M&A, uncertainty, and bargaining power: Evidence from the German retail sector," CAWM Discussion Papers 116, University of Münster, Münster Center for Economic Policy (MEP).
    6. Stefano Colombo & Zemin Hou, 2021. "Location-Price Equilibria when Traditional Retailers Compete Against an Online Retailer," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 59(3), pages 483-502, November.
    7. Karamychev, Vladimir & van Reeven, Peran, 2009. "Retail sprawl and multi-store firms: An analysis of location choice by retail chains," Regional Science and Urban Economics, Elsevier, vol. 39(3), pages 277-286, May.
    8. Joao Macieira, 2010. "Oblivious Equilibrium in Dynamic Discrete Games," 2010 Meeting Papers 680, Society for Economic Dynamics.
    9. Victor Aguirregabiria & Junichi Suzuki, 2015. "Empirical Games of Market Entry and Spatial Competition in Retail Industries," Working Papers tecipa-534, University of Toronto, Department of Economics.
    10. Sumon Datta & K. Sudhir, 2023. "The Agglomeration-Differentiation Tradeoff in Spatial Location Choice," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 10(1), pages 1-25, December.

    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. Victor Aguirregabiria & Gustavo Vicentini, 2016. "Dynamic Spatial Competition Between Multi-Store Retailers," Journal of Industrial Economics, Wiley Blackwell, vol. 64(4), pages 710-754, December.
    2. Aguirregabiria, Victor & Suzuki, Junichi, 2015. "Empirical Games of Market Entry and Spatial Competition in Retail Industries," CEPR Discussion Papers 10410, C.E.P.R. Discussion Papers.
    3. Victor Aguirregabiria & Margaret Slade, 2017. "Empirical models of firms and industries," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1445-1488, December.
    4. Victor Aguirregabiria & Victor Aguirregabiria & Aviv Nevo & Aviv Nevo, 2010. "Recent Developments in Empirical IO: Dynamic Demand and Dynamic Games," Working Papers tecipa-419, University of Toronto, Department of Economics.
    5. Mitsukuni Nishida, 2015. "Estimating a Model of Strategic Network Choice: The Convenience-Store Industry in Okinawa," Marketing Science, INFORMS, vol. 34(1), pages 20-38, January.
    6. Aguirregabiria, Victor & Ho, Chun-Yu, 2012. "A dynamic oligopoly game of the US airline industry: Estimation and policy experiments," Journal of Econometrics, Elsevier, vol. 168(1), pages 156-173.
    7. Kalouptsidi, Myrto & Barwick, Panle Jia & Zahur, Nahim Bin, 2019. "China’s Industrial Policy: an Empirical Evaluation," CEPR Discussion Papers 13889, C.E.P.R. Discussion Papers.
    8. Raphael Corbi & Fabio Miessi Sanches, 2022. "Church Competition, Religious Subsidies and the Rise of Evangelicalism: a Dynamic Structural Analysis," Working Papers, Department of Economics 2022_09, University of São Paulo (FEA-USP).
    9. Hanming Fang & Yang Wang, 2015. "Estimating Dynamic Discrete Choice Models With Hyperbolic Discounting, With An Application To Mammography Decisions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(2), pages 565-596, May.
    10. Aguirregabiria, Victor & Mira, Pedro, 2010. "Dynamic discrete choice structural models: A survey," Journal of Econometrics, Elsevier, vol. 156(1), pages 38-67, May.
    11. Holmes, Thomas J. & Sieg, Holger, 2015. "Structural Estimation in Urban Economics," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 69-114, Elsevier.
    12. Maican, Florin & Orth, ´Matilda, 2013. "Entry Regulations, Product Differentiation and Determinants of Market Structure," Working Paper Series 984, Research Institute of Industrial Economics.
    13. Ulrich Doraszelski & Mark Satterthwaite, 2010. "Computable Markov‐perfect industry dynamics," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 215-243, June.
    14. Coublucq, Daniel, 2013. "Demand estimation with selection bias: A dynamic game approach with an application to the US railroad industry," DICE Discussion Papers 94, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    15. Peter Arcidiacono & Patrick Bayer & Jason R. Blevins & Paul B. Ellickson, 2016. "Estimation of Dynamic Discrete Choice Models in Continuous Time with an Application to Retail Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 889-931.
    16. Linli Xu & Jorge M. Silva-Risso & Kenneth C. Wilbur, 2018. "Dynamic Quality Ladder Model Predictions in Nonrandom Holdout Samples," Management Science, INFORMS, vol. 64(7), pages 3187-3207, July.
    17. Macieira, João, 2015. "Introducing consumer heterogeneity in dynamic games with multi-product firms and differentiated product demand," Economics Letters, Elsevier, vol. 129(C), pages 62-65.
    18. Mateusz Mysliwski & Fabio M. Sanches & Daniel Silva Junior & Sorawoot Srisuma, 2020. "The Welfare Effects of Promotional Fees," CeMMAP working papers CWP35/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    19. Joao Macieira, 2010. "Oblivious Equilibrium in Dynamic Discrete Games," 2010 Meeting Papers 680, Society for Economic Dynamics.
    20. Patrick Bajari & C. Lanier Benkard & Jonathan Levin, 2007. "Estimating Dynamic Models of Imperfect Competition," Econometrica, Econometric Society, vol. 75(5), pages 1331-1370, September.

    More about this item

    Keywords

    Spatial competition; Store location; Industry dynamics; Sunk costs.;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce
    • R10 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General

    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:tor:tecipa:tecipa-457. See general information about how to correct material in RePEc.

    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: RePEc Maintainer (email available below). General contact details of provider: .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.