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A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing

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Cited by:

  1. Hoesel Stan van & Kraaij Anton F. van der & Mannino Carlo & Bouhtou Mustapha & Oriolo Gianpaolo, 2003. "Polynomial cases of the tarification problem," Research Memorandum 063, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Grigoriev, A. & van Hoesel, C.P.M. & van der Kraaij, A.F. & Uetz, M.J. & Bouhtou, M., 2004. "Pricing network edges to cross a river," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Hu, Qiaolin & Gu, Weihua & Wang, Shuaian, 2022. "Optimal subsidy scheme design for promoting intermodal freight transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
  4. Jayaswal, Sachin & Sinha, Ankur, 2022. "Bilevel Optimization: Applications, Models and Solution Approaches," IIMA Working Papers WP 2022-05-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
  5. Luce Brotcorne & Martine Labbé & Patrice Marcotte & Gilles Savard, 2001. "A Bilevel Model for Toll Optimization on a Multicommodity Transportation Network," Transportation Science, INFORMS, vol. 35(4), pages 345-358, November.
  6. M. Köppe & M. Queyranne & C. T. Ryan, 2010. "Parametric Integer Programming Algorithm for Bilevel Mixed Integer Programs," Journal of Optimization Theory and Applications, Springer, vol. 146(1), pages 137-150, July.
  7. Olivier Bochet, 2007. "Nash Implementation with Lottery Mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 111-125, January.
  8. Chinmay Maheshwari & Kshitij Kulkarni & Druv Pai & Jiarui Yang & Manxi Wu & Shankar Sastry, 2024. "Congestion Pricing for Efficiency and Equity: Theory and Applications to the San Francisco Bay Area," Papers 2401.16844, arXiv.org.
  9. Acuna, Jorge A. & Zayas-Castro, Jose L. & Feijoo, Felipe, 2022. "A bilevel Nash-in-Nash model for hospital mergers: A key to affordable care," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
  10. Leonardo Lozano & J. Cole Smith, 2017. "A Value-Function-Based Exact Approach for the Bilevel Mixed-Integer Programming Problem," Operations Research, INFORMS, vol. 65(3), pages 768-786, June.
  11. Thomas Kleinert & Martine Labbé & Fr¨ank Plein & Martin Schmidt, 2020. "Technical Note—There’s No Free Lunch: On the Hardness of Choosing a Correct Big-M in Bilevel Optimization," Operations Research, INFORMS, vol. 68(6), pages 1716-1721, November.
  12. Paola Cappanera & Maria Paola Scaparra, 2011. "Optimal Allocation of Protective Resources in Shortest-Path Networks," Transportation Science, INFORMS, vol. 45(1), pages 64-80, February.
  13. Tawfik, Christine & Gendron, Bernard & Limbourg, Sabine, 2022. "An iterative two-stage heuristic algorithm for a bilevel service network design and pricing model," European Journal of Operational Research, Elsevier, vol. 300(2), pages 512-526.
  14. Maravillo, Héctor & Camacho-Vallejo, José-Fernando & Puerto, Justo & Labbé, Martine, 2020. "A market regulation bilevel problem: A case study of the Mexican petrochemical industry," Omega, Elsevier, vol. 97(C).
  15. Fred E. Benth & Geir Dahl & Carlo Mannino, 2012. "Computing Optimal Recovery Policies for Financial Markets," Operations Research, INFORMS, vol. 60(6), pages 1373-1388, December.
  16. Pacheco Paneque, Meritxell & Bierlaire, Michel & Gendron, Bernard & Sharif Azadeh, Shadi, 2021. "Integrating advanced discrete choice models in mixed integer linear optimization," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 26-49.
  17. Francisco López-Ramos & Stefano Nasini & Armando Guarnaschelli, 2019. "Road network pricing and design for ordinary and hazmat vehicles: Integrated model and specialized local search," Post-Print hal-02510066, HAL.
  18. Aussel, Didier & Brotcorne, Luce & Lepaul, Sébastien & von Niederhäusern, Léonard, 2020. "A trilevel model for best response in energy demand-side management," European Journal of Operational Research, Elsevier, vol. 281(2), pages 299-315.
  19. Chen, Mei & Bernstein, David H., 2004. "Solving the toll design problem with multiple user groups," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 61-79, January.
  20. Marcotte, Patrice & Savard, Gilles & Zhu, Daoli, 2009. "Mathematical structure of a bilevel strategic pricing model," European Journal of Operational Research, Elsevier, vol. 193(2), pages 552-566, March.
  21. Beck, Yasmine & Ljubić, Ivana & Schmidt, Martin, 2023. "A survey on bilevel optimization under uncertainty," European Journal of Operational Research, Elsevier, vol. 311(2), pages 401-426.
  22. Christine Tawfik & Sabine Limbourg, 2018. "Pricing Problems in Intermodal Freight Transport: Research Overview and Prospects," Sustainability, MDPI, vol. 10(9), pages 1-22, September.
  23. Li, Dongjun & Islam, Dewan Md Zahurul & Robinson, Mark & Song, Dong-Ping & Dong, Jing-Xin & Reimann, Marc, 2024. "Network revenue management game in the railway industry: Stackelberg equilibrium, global optimality, and mechanism design," European Journal of Operational Research, Elsevier, vol. 312(1), pages 240-254.
  24. Jean Cardinal & Erik D. Demaine & Samuel Fiorini & Gwenaël Joret & Ilan Newman & Oren Weimann, 2013. "The Stackelberg minimum spanning tree game on planar and bounded-treewidth graphs," Journal of Combinatorial Optimization, Springer, vol. 25(1), pages 19-46, January.
  25. Van Dender, Kurt, 2004. "Pricing transport networks with fixed residential location," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 289-307, May.
  26. Ankur Sinha & Zhichao Lu & Kalyanmoy Deb & Pekka Malo, 2020. "Bilevel optimization based on iterative approximation of multiple mappings," Journal of Heuristics, Springer, vol. 26(2), pages 151-185, April.
  27. Gabriel, Steven A. & Leuthold, Florian U., 2010. "Solving discretely-constrained MPEC problems with applications in electric power markets," Energy Economics, Elsevier, vol. 32(1), pages 3-14, January.
  28. Aimé Kamgaing Kuiteing & Patrice Marcotte & Gilles Savard, 2018. "Pricing and revenue maximization over a multicommodity transportation network: the nonlinear demand case," Computational Optimization and Applications, Springer, vol. 71(3), pages 641-671, December.
  29. Fred E. Benth & Geir Dahl & Carlo Mannino, 2010. "Computing optimal recovery policies for financial markets," DIS Technical Reports 2010-20, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
  30. Ke, Ginger Y. & Zhang, Huiwen & Bookbinder, James H., 2020. "A dual toll policy for maintaining risk equity in hazardous materials transportation with fuzzy incident rate," International Journal of Production Economics, Elsevier, vol. 227(C).
  31. Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2004. "Modeling private highways in networks with entry-exit based toll charges," Transportation Research Part B: Methodological, Elsevier, vol. 38(3), pages 191-213, March.
  32. Casorrán, Carlos & Fortz, Bernard & Labbé, Martine & Ordóñez, Fernando, 2019. "A study of general and security Stackelberg game formulations," European Journal of Operational Research, Elsevier, vol. 278(3), pages 855-868.
  33. Christine Tawfik & Sabine Limbourg, 2019. "A Bilevel Model for Network Design and Pricing Based on a Level-of-Service Assessment," Transportation Science, INFORMS, vol. 53(6), pages 1609-1626, November.
  34. Dung-Ying Lin & Avinash Unnikrishnan & S. Waller, 2011. "A Dual Variable Approximation Based Heuristic for Dynamic Congestion Pricing," Networks and Spatial Economics, Springer, vol. 11(2), pages 271-293, June.
  35. Yohan Shim & Marte Fodstad & Steven Gabriel & Asgeir Tomasgard, 2013. "A branch-and-bound method for discretely-constrained mathematical programs with equilibrium constraints," Annals of Operations Research, Springer, vol. 210(1), pages 5-31, November.
  36. van Hoesel, Stan, 2008. "An overview of Stackelberg pricing in networks," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1393-1402, September.
  37. Martine Labbé & Alessia Violin, 2016. "Bilevel programming and price setting problems," Annals of Operations Research, Springer, vol. 240(1), pages 141-169, May.
  38. Sandun Perera & Milind Dawande & Ganesh Janakiraman & Vijay Mookerjee, 2020. "Retail Deliveries by Drones: How Will Logistics Networks Change?," Production and Operations Management, Production and Operations Management Society, vol. 29(9), pages 2019-2034, September.
  39. Rahman Khorramfar & Osman Y. Özaltın & Karl G. Kempf & Reha Uzsoy, 2022. "Managing Product Transitions: A Bilevel Programming Approach," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2828-2844, September.
  40. José Correa & Tobias Harks & Vincent J. C. Kreuzen & Jannik Matuschke, 2017. "Fare Evasion in Transit Networks," Operations Research, INFORMS, vol. 65(1), pages 165-183, February.
  41. Patrick Maillé & Nicolás E. Stier-Moses, 2009. "Eliciting Coordination with Rebates," Transportation Science, INFORMS, vol. 43(4), pages 473-492, November.
  42. S. Dempe & J. F. Bard, 2001. "Bundle Trust-Region Algorithm for Bilinear Bilevel Programming," Journal of Optimization Theory and Applications, Springer, vol. 110(2), pages 265-288, August.
  43. José Correa & Tobias Harks & Vincent J. C. Kreuzen & Jannik Matuschke, 2017. "Fare Evasion in Transit Networks," Operations Research, INFORMS, vol. 65(1), pages 165-183, February.
  44. Steven Gabriel & Sauleh Siddiqui & Antonio Conejo & Carlos Ruiz, 2013. "Solving Discretely-Constrained Nash–Cournot Games with an Application to Power Markets," Networks and Spatial Economics, Springer, vol. 13(3), pages 307-326, September.
  45. Luce Brotcorne & Martine Labbé & Patrice Marcotte & Gilles Savard, 2000. "A Bilevel Model and Solution Algorithm for a Freight Tariff-Setting Problem," Transportation Science, INFORMS, vol. 34(3), pages 289-302, August.
  46. S. Dempe & F. Mefo Kue, 2017. "Solving discrete linear bilevel optimization problems using the optimal value reformulation," Journal of Global Optimization, Springer, vol. 68(2), pages 255-277, June.
  47. Geunyeong Byeon & Pascal Van Hentenryck, 2022. "Benders Subproblem Decomposition for Bilevel Problems with Convex Follower," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1749-1767, May.
  48. Laure Cabantous & Gilbert Laporte, 2015. "ASP, The Art and Science of Practice: Academia-Industry Interfacing in Operations Research in Montréal," Interfaces, INFORMS, vol. 45(6), pages 554-566, December.
  49. S. Dempe & A. Zemkoho, 2012. "Bilevel road pricing: theoretical analysis and optimality conditions," Annals of Operations Research, Springer, vol. 196(1), pages 223-240, July.
  50. Philipp M. Richter & Roman Mendelevitch & Frank Jotzo, 2018. "Coal taxes as supply-side climate policy: a rationale for major exporters?," Climatic Change, Springer, vol. 150(1), pages 43-56, September.
  51. Mustapha Bouhtou & Stan van Hoesel & Anton F. van der Kraaij & Jean-Luc Lutton, 2007. "Tariff Optimization in Networks," INFORMS Journal on Computing, INFORMS, vol. 19(3), pages 458-469, August.
  52. François Gilbert & Patrice Marcotte & Gilles Savard, 2014. "Mixed-logit network pricing," Computational Optimization and Applications, Springer, vol. 57(1), pages 105-127, January.
  53. François Gilbert & Patrice Marcotte & Gilles Savard, 2015. "A Numerical Study of the Logit Network Pricing Problem," Transportation Science, INFORMS, vol. 49(3), pages 706-719, August.
  54. Losada, Chaya & Scaparra, M. Paola & O’Hanley, Jesse R., 2012. "Optimizing system resilience: A facility protection model with recovery time," European Journal of Operational Research, Elsevier, vol. 217(3), pages 519-530.
  55. Alizadeh, S.M. & Marcotte, P. & Savard, G., 2013. "Two-stage stochastic bilevel programming over a transportation network," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 92-105.
  56. Dussault, Jean-Pierre & Marcotte, Patrice & Roch, Sebastien & Savard, Gilles, 2006. "A smoothing heuristic for a bilevel pricing problem," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1396-1413, November.
  57. Budnitzki, Alina, 2014. "Computation of the optimal tolls on the traffic network," European Journal of Operational Research, Elsevier, vol. 235(1), pages 247-251.
  58. Quang Minh Bui & Bernard Gendron & Margarida Carvalho, 2022. "A Catalog of Formulations for the Network Pricing Problem," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2658-2674, September.
  59. Chiou, Suh-Wen, 2015. "A cutting plane projection method for bi-level area traffic control optimization with uncertain travel demand," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 390-403.
  60. Afşar, Sezin & Brotcorne, Luce & Marcotte, Patrice & Savard, Gilles, 2016. "Achieving an optimal trade-off between revenue and energy peak within a smart grid environment," Renewable Energy, Elsevier, vol. 91(C), pages 293-301.
  61. Longsheng Sun & Mark H. Karwan & Changhyun Kwon, 2018. "Generalized Bounded Rationality and Robust Multicommodity Network Design," Operations Research, INFORMS, vol. 66(1), pages 42-57, 1-2.
  62. Benoît Colson & Patrice Marcotte & Gilles Savard, 2007. "An overview of bilevel optimization," Annals of Operations Research, Springer, vol. 153(1), pages 235-256, September.
  63. Ivan Eryganov & Radovan Šomplák & Dušan Hrabec & Josef Jadrný, 2023. "Bilevel programming methods in waste-to-energy plants' price-setting game," Operational Research, Springer, vol. 23(2), pages 1-37, June.
  64. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François, 2019. "Profit-oriented fixed-charge network design with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 1-19.
  65. S A Gabriel & Y Shim & A J Conejo & S de la Torre & R García-Bertrand, 2010. "A Benders decomposition method for discretely-constrained mathematical programs with equilibrium constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(9), pages 1404-1419, September.
  66. Patrice Marcotte & Anne Mercier & Gilles Savard & Vedat Verter, 2009. "Toll Policies for Mitigating Hazardous Materials Transport Risk," Transportation Science, INFORMS, vol. 43(2), pages 228-243, May.
  67. van Hoesel, C.P.M., 2006. "An overview of Stackelberg pricing in networks," Research Memorandum 043, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  68. Claudio Contardo & Jorge A. Sefair, 2022. "A Progressive Approximation Approach for the Exact Solution of Sparse Large-Scale Binary Interdiction Games," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 890-908, March.
  69. Wang, Zhenjie & Zhang, Dezhi & Tavasszy, Lóránt & Fazi, Stefano, 2023. "Integrated multimodal freight service network design and pricing with a competing service integrator and heterogeneous shipper classes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
  70. Jean Etoa, 2010. "Solving convex quadratic bilevel programming problems using an enumeration sequential quadratic programming algorithm," Journal of Global Optimization, Springer, vol. 47(4), pages 615-637, August.
  71. Mustapha Bouhtou & Alexander Grigoriev & Stan van Hoesel & Anton F. van der Kraaij & Frits C.R. Spieksma & Marc Uetz, 2007. "Pricing bridges to cross a river," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(4), pages 411-420, June.
  72. Matteo Fischetti & Ivana Ljubić & Michele Monaci & Markus Sinnl, 2017. "A New General-Purpose Algorithm for Mixed-Integer Bilevel Linear Programs," Operations Research, INFORMS, vol. 65(6), pages 1615-1637, December.
  73. Teodora Dan & Andrea Lodi & Patrice Marcotte, 2020. "Joint location and pricing within a user-optimized environment," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(1), pages 61-84, March.
  74. Li Li & Sridhar Tayur, 2005. "Medium-Term Pricing and Operations Planning in Intermodal Transportation," Transportation Science, INFORMS, vol. 39(1), pages 73-86, February.
  75. Harks, Tobias & Schröder, Marc & Vermeulen, Dries, 2019. "Toll caps in privatized road networks," European Journal of Operational Research, Elsevier, vol. 276(3), pages 947-956.
  76. Maximilian Merkert & Galina Orlinskaya & Dieter Weninger, 2022. "An exact projection-based algorithm for bilevel mixed-integer problems with nonlinearities," Journal of Global Optimization, Springer, vol. 84(3), pages 607-650, November.
  77. Luce Brotcorne & Martine Labbé & Patrice Marcotte & Gilles Savard, 2008. "Joint Design and Pricing on a Network," Operations Research, INFORMS, vol. 56(5), pages 1104-1115, October.
  78. Aimé Kamgaing Kuiteingf & Patrice Marcotte & Gilles Savard, 2017. "Network Pricing of Congestion-Free Networks: The Elastic and Linear Demand Case," Transportation Science, INFORMS, vol. 51(3), pages 791-806, August.
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