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Dynamic Spatial Competition Between Multi-Store Firms

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  • Victor Aguirregabiria
  • Gustavo Vicentini

Abstract

We propose a dynamic model of an oligopoly industry characterized by spatial competition between multi-store firms. 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 provide an algorithm to compute Markov Perfect Equilibria (MPE) in our model. We conduct several numerical experiments to study how the propensity of multi-store retailers to spatial preemptive behavior depends on the magnitude of entry costs, exit value and transportation costs.

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  • Victor Aguirregabiria & Gustavo Vicentini, 2006. "Dynamic Spatial Competition Between Multi-Store Firms," Working Papers tecipa-253, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-253
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    1. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 964-982, December.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Kenneth L. Judd, 1985. "Credible Spatial Preemption," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 153-166, Summer.
    8. Patrick Bajari & C. Lanier Benkard & Jonathan Levin, 2007. "Estimating Dynamic Models of Imperfect Competition," Econometrica, Econometric Society, vol. 75(5), pages 1331-1370, September.
    9. 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.
    10. , & ,, 2010. "A theory of regular Markov perfect equilibria in dynamic stochastic games: genericity, stability, and purification," Theoretical Economics, Econometric Society, vol. 5(3), September.
    11. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    12. 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.
    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. 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.
    15. 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.
    16. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064, October.
    17. 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.
    18. Aguirregabiria, Victor, 2012. "A method for implementing counterfactual experiments in models with multiple equilibria," Economics Letters, Elsevier, vol. 114(2), pages 190-194.
    19. B. Curtis Eaton, 1972. "Spatial Competition Revisited," Canadian Journal of Economics, Canadian Economics Association, vol. 5(2), pages 268-278, May.
    20. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    21. 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.
    22. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105, October.
    23. 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.
    24. 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.
    25. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057, October.
    26. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 964-982, December.
    27. 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.
    28. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    29. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165, October.
    30. 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.
    31. repec:adr:anecst:y:2005:i:77:p:01 is not listed on IDEAS
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. 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.
    37. Victor Aguirregabiria, 2007. "Comment: Identification of a Simple Dynamic Discrete Game under Rationalizability," Working Papers tecipa-299, University of Toronto, Department of Economics.
    38. 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.
    39. 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.
    40. 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.
    41. Thomas J. Holmes, 2006. "The Diffusion of Wal-Mart and Economies of Density," 2006 Meeting Papers 15, Society for Economic Dynamics.
    42. 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.
    43. 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.
    44. 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.
    45. 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.
    46. Joris Pinkse & Margaret E. Slade & Craig Brett, 2002. "Spatial Price Competition: A Semiparametric Approach," Econometrica, Econometric Society, vol. 70(3), pages 1111-1153, May.
    47. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314, October.
    48. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040, October.
    49. John Rust, 1997. "Using Randomization to Break the Curse of Dimensionality," Econometrica, Econometric Society, vol. 65(3), pages 487-516, May.
    50. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    51. Echenique, Federico, 2007. "Finding all equilibria in games of strategic complements," Journal of Economic Theory, Elsevier, vol. 135(1), pages 514-532, July.
    52. Stephen P. Ryan, 2012. "The Costs of Environmental Regulation in a Concentrated Industry," Econometrica, Econometric Society, vol. 80(3), pages 1019-1061, May.
    53. Paul Ellickson & Beresteanu Arie, 2005. "The Dynamics of Retail Oligopolies," 2005 Meeting Papers 829, Society for Economic Dynamics.
    54. 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).
    55. Ho, Katherine & Ishii, Joy, 2011. "Location and competition in retail banking," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 537-546, September.
    56. 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.
    57. 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.
    58. Neven, Damien J., 1987. "Endogenous sequential entry in a spatial model," International Journal of Industrial Organization, Elsevier, vol. 5(4), pages 419-434.
    59. 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.
    60. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.
    61. Margaret E. Slade, 2005. "The Role of Economic Space in Decision Making," Annals of Economics and Statistics, GENES, issue 77, pages 1-20.
    62. 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.
    63. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    64. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December.
    65. 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.
    66. 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.
    67. Joris Pinkse & Margaret E. Slade, 2010. "The Future Of Spatial Econometrics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 103-117, February.
    68. 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.
    69. 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.
    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.
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    2. 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.
    3. 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).
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    5. Joao Macieira, 2010. "Oblivious Equilibrium in Dynamic Discrete Games," 2010 Meeting Papers 680, Society for Economic Dynamics.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.

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    More about this item

    Keywords

    Spatial competition; Market dynamics; Sunk costs; Spatial preemptive behavior.;
    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

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