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Minimizing a Submodular Function on a Lattice

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  1. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
  2. Guisado-González, Manuel & Vila-Alonso, Mercedes & Guisado-Tato, Manuel, 2016. "Radical innovation, incremental innovation and training: Analysis of complementarity," Technology in Society, Elsevier, vol. 44(C), pages 48-54.
  3. Li, Shuhe & Zhang, Weiying, 2001. "Optimal assignment of principalship in teams," Journal of Economic Behavior & Organization, Elsevier, vol. 44(1), pages 105-127, January.
  4. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
  5. Woonghee Tim Huh & Chandra Kiran Krishnamurthy & Richard Weber, 2011. "Concavity and monotonicity properties in a groundwater management model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(7), pages 670-675, October.
  6. Shirai, Koji, 2010. "An existence theorem for Cournot-Walras equilibria in a monopolistically competitive economy," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1093-1102, November.
  7. Bar Light, 2019. "General equilibrium in a heterogeneous-agent incomplete-market economy with many consumption goods and a risk-free bond," Papers 1906.06810, arXiv.org, revised Mar 2021.
  8. Bruno Strulovici & Martin Szydlowski, 2012. "On the Smoothness of Value Functions," Discussion Papers 1542, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Amir, Rabah & Wooders, John, 2000. "One-Way Spillovers, Endogenous Innovator/Imitator Roles, and Research Joint Ventures," Games and Economic Behavior, Elsevier, vol. 31(1), pages 1-25, April.
  10. Shota Ichihashi, 2020. "Online Privacy and Information Disclosure by Consumers," American Economic Review, American Economic Association, vol. 110(2), pages 569-595, February.
  11. Daniel Jaume & Jordi Massó & Alejandro Neme, 2012. "The multiple-partners assignment game with heterogeneous sales and multi-unit demands: competitive equilibria," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(2), pages 161-187, October.
  12. Amir, Rabah & Lazzati, Natalia, 2011. "Network effects, market structure and industry performance," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2389-2419.
  13. Schmutzler, Armin, 2011. "A unified approach to comparative statics puzzles in experiments," Games and Economic Behavior, Elsevier, vol. 71(1), pages 212-223, January.
  14. Pietro Tebaldi, 2015. "Estimating Equilibrium in Health Insurance Exchanges: Analysis of the Californian Market under the ACA," Discussion Papers 15-012, Stanford Institute for Economic Policy Research.
  15. Zhuang, Weifen & Li, Michael Z.F., 2012. "Monotone optimal control for a class of Markov decision processes," European Journal of Operational Research, Elsevier, vol. 217(2), pages 342-350.
  16. Amir, Rabah & Garcia, Filomena & Knauff, Malgorzata, 2010. "Symmetry-breaking in two-player games via strategic substitutes and diagonal nonconcavity: A synthesis," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1968-1986, September.
  17. Hennessy, David A., 1997. "The short- and long-run comparative statics of uncertainty," Economics Letters, Elsevier, vol. 55(3), pages 347-353, September.
  18. Alec Morton, 2006. "Structural properties of network revenue management models: An economic perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 748-760, December.
  19. Anne-Christine Barthel & Tarun Sabarwal, 2018. "Directional monotone comparative statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 557-591, October.
  20. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
  21. Benjamin E. Hermalin & Michael S. Weisbach, 2012. "Information Disclosure and Corporate Governance," Journal of Finance, American Finance Association, vol. 67(1), pages 195-234, February.
  22. Li, Yanhai, 2020. "Optimal reserve prices in sealed-bid auctions with reference effects," International Journal of Industrial Organization, Elsevier, vol. 71(C).
  23. de Hek, Paul A., 1998. "An aggregative model of capital accumulation with leisure-dependent utility," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 255-276, September.
  24. Resende, Marcelo & Strube, Eduardo & Zeidan, Rodrigo, 2014. "Complementarity of innovation policies in Brazilian industry: An econometric study," International Journal of Production Economics, Elsevier, vol. 158(C), pages 9-17.
  25. Li, Yanhai & Ou, Jinwen, 2020. "Optimal ordering policy for complementary components with partial backordering and emergency replenishment under spectral risk measure," European Journal of Operational Research, Elsevier, vol. 284(2), pages 538-549.
  26. Shin, Hyun Song, 2008. "Risk and liquidity in a system context," Journal of Financial Intermediation, Elsevier, vol. 17(3), pages 315-329, July.
  27. Mohnen, Pierre & Roller, Lars-Hendrik, 2005. "Complementarities in innovation policy," European Economic Review, Elsevier, vol. 49(6), pages 1431-1450, August.
  28. Datta, Manjira & Mirman, Leonard J. & Reffett, Kevin L., 2002. "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 103(2), pages 377-410, April.
  29. Kockesen, Levent & Ok, Efe A. & Sethi, Rajiv, 2000. "The Strategic Advantage of Negatively Interdependent Preferences," Journal of Economic Theory, Elsevier, vol. 92(2), pages 274-299, June.
  30. Light, Bar & Weintraub, Gabriel, 2018. "Mean Field Equilibrium: Uniqueness, Existence, and Comparative Statics," Research Papers 3731, Stanford University, Graduate School of Business.
  31. Kultti, Klaus & Salonen, Hannu, 1997. "Undominated Equilibria in Games with Strategic Complementarities," Games and Economic Behavior, Elsevier, vol. 18(1), pages 98-115, January.
  32. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  33. Fabian Eckert & Costas Arkolakis, 2017. "Combinatorial Discrete Choice," 2017 Meeting Papers 249, Society for Economic Dynamics.
  34. Mensch, Jeffrey, 2021. "Rational inattention and the monotone likelihood ratio property," Journal of Economic Theory, Elsevier, vol. 196(C).
  35. Olson, Lars J. & Roy, Santanu, 2000. "Dynamic Efficiency of Conservation of Renewable Resources under Uncertainty," Journal of Economic Theory, Elsevier, vol. 95(2), pages 186-214, December.
  36. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2014. "A constructive study of Markov equilibria in stochastic games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 150(C), pages 815-840.
  37. Ceparano, Maria Carmela & Quartieri, Federico, 2017. "Nash equilibrium uniqueness in nice games with isotone best replies," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 154-165.
  38. Amir, Rabah, 2005. "Ordinal versus cardinal complementarity: The case of Cournot oligopoly," Games and Economic Behavior, Elsevier, vol. 53(1), pages 1-14, October.
  39. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
  40. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2018. "On uniqueness of time-consistent Markov policies for quasi-hyperbolic consumers under uncertainty," Journal of Economic Theory, Elsevier, vol. 176(C), pages 293-310.
  41. Li, Yanhai & Ou, Jinwen, 2022. "Replenishment decisions for complementary components with supply capacity uncertainty under the CVaR criterion," European Journal of Operational Research, Elsevier, vol. 297(3), pages 904-916.
  42. Meyer, Margaret & Strulovici, Bruno, 2012. "Increasing interdependence of multivariate distributions," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1460-1489.
  43. Csorba, Gergely, 2008. "Screening contracts in the presence of positive network effects," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 213-226, January.
  44. Kamihigashi, Takashi & Roy, Santanu, 2007. "A nonsmooth, nonconvex model of optimal growth," Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
  45. Amir, Rabah & Evstigneev, Igor, 1999. "Stochastic Version Of Polterovich'S Model: Exponential Turnpike Theorems For Equilibrium Paths," Macroeconomic Dynamics, Cambridge University Press, vol. 3(2), pages 149-166, June.
  46. Balbus, Łukasz & Jaśkiewicz, Anna & Nowak, Andrzej S., 2016. "Non-paternalistic intergenerational altruism revisited," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 27-33.
  47. Roy, Sunanda & Sabarwal, Tarun, 2012. "Characterizing stability properties in games with strategic substitutes," Games and Economic Behavior, Elsevier, vol. 75(1), pages 337-353.
  48. Barthel, Anne-Christine & Hoffmann, Eric & Sabarwal, Tarun, 2022. "Characterizing robust solutions in monotone games," Games and Economic Behavior, Elsevier, vol. 135(C), pages 201-219.
  49. Anne-Christine Barthel & Eric Hoffmann & Tarun Sabarwal, 2021. "A Unified Approach to p-Dominance and its Generalizations in Games with Strategic Complements and Substitutes," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202109, University of Kansas, Department of Economics.
  50. Zhang Wei, 2012. "Endogenous Preferences and Dynamic Contract Design," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-34, May.
  51. Wang, Dazhong & Xu, Xinyi, 2022. "Optimal equity auction with interdependent valuations," Journal of Mathematical Economics, Elsevier, vol. 100(C).
  52. Shawn, Ni & Xinghe, Wang, 1996. "A model of structural breaks in economic growth," Structural Change and Economic Dynamics, Elsevier, vol. 7(2), pages 223-241, June.
  53. Shuoxun Zhang & Tarun Sabarwal & Li Gan, 2015. "Strategic Or Nonstrategic: The Role Of Financial Benefit In Bankruptcy," Economic Inquiry, Western Economic Association International, vol. 53(2), pages 1004-1018, April.
  54. Drewianka, Scott, 2006. "A generalized model of commitment," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 233-251, December.
  55. Açıkgöz, Ömer T., 2018. "On the existence and uniqueness of stationary equilibrium in Bewley economies with production," Journal of Economic Theory, Elsevier, vol. 173(C), pages 18-55.
  56. Rabah Amir & Giuseppe Feo, 2014. "Endogenous timing in a mixed duopoly," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 629-658, August.
  57. Chatterjee, Arpita, 2017. "Endogenous comparative advantage, gains from trade and symmetry-breaking," Journal of International Economics, Elsevier, vol. 109(C), pages 102-115.
  58. Andrew J. Monaco & Tarun Sabarwal, 2016. "Games with strategic complements and substitutes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 65-91, June.
  59. Gatti, J. Rupert J., 1999. "Multi-Commodity Consumer Search," Journal of Economic Theory, Elsevier, vol. 86(2), pages 219-244, June.
  60. Jia, Hao, 2019. "The even split rule in positive assortative matching," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 57-61.
  61. Carlier, G. & Dana, R.-A., 2005. "Rearrangement inequalities in non-convex insurance models," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 483-503, August.
  62. Carlier, G., 2005. "Representation of the core of convex measure games via Kantorovich potentials," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 898-912, November.
  63. Tilson, Vera, 2008. "Monotonicity properties of wholesale price contracts," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 127-143, July.
  64. Roy, Sunanda & Sabarwal, Tarun, 2010. "Monotone comparative statics for games with strategic substitutes," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 793-806, September.
  65. Amir, Rabah & Evstigneev, Igor & Wooders, John, 2003. "Noncooperative versus cooperative R&D with endogenous spillover rates," Games and Economic Behavior, Elsevier, vol. 42(2), pages 183-207, February.
  66. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.
  67. Fraser, Clive D., 2021. "Protection in numbers? Self-protection as a local public good," Journal of Mathematical Economics, Elsevier, vol. 96(C).
  68. Choi, Byounggu & Poon, Simon K. & Davis, Joseph G., 2008. "Effects of knowledge management strategy on organizational performance: A complementarity theory-based approach," Omega, Elsevier, vol. 36(2), pages 235-251, April.
  69. Heinrich, Ralph P., 1999. "A Model of Corporate Governance As a System," Kiel Working Papers 931, Kiel Institute for the World Economy (IfW Kiel).
  70. Gautam Gowrisankaran & Charles He & Eric A. Lutz & Jefferey L. Burgess, 2015. "Productivity, Safety, and Regulation in Underground Coal Mining: Evidence from Disasters and Fatalities," NBER Working Papers 21129, National Bureau of Economic Research, Inc.
  71. Jaureguy, Micaela Vidal & Bianchi, Carlos & Blanchard, Pablo, 2023. "Financial and knowledge barriers to innovation: Complementary and substitution effects on innovative effort," Research Policy, Elsevier, vol. 52(7).
  72. Kukushkin, Nikolai S., 2018. "Better response dynamics and Nash equilibrium in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
  73. Amir, Rabah & De Castro, Luciano, 2017. "Nash equilibrium in games with quasi-monotonic best-responses," Journal of Economic Theory, Elsevier, vol. 172(C), pages 220-246.
  74. Amiya K. Chakravarty & Jun Zhang, 2007. "Lateral capacity exchange and its impact on capacity investment decisions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 632-644, September.
  75. Eberly, Janice C. & Van Mieghem, Jan A., 1997. "Multi-factor Dynamic Investment under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(2), pages 345-387, August.
  76. Brett, Craig & Weymark, John A., 2017. "Voting over selfishly optimal nonlinear income tax schedules," Games and Economic Behavior, Elsevier, vol. 101(C), pages 172-188.
  77. Prasad, Acklesh & Heales, Jon, 2010. "On IT and business value in developing countries: A complementarities-based approach," International Journal of Accounting Information Systems, Elsevier, vol. 11(4), pages 314-335.
  78. Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
  79. Fan, Cuihong & Jun, Byoung Heon & Wolfstetter, Elmar G., 2022. "Spying in Bertrand markets under incomplete information: Who benefits and is it stable?," Journal of Mathematical Economics, Elsevier, vol. 102(C).
  80. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
  81. Strulovici, Bruno & Szydlowski, Martin, 2015. "On the smoothness of value functions and the existence of optimal strategies in diffusion models," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 1016-1055.
  82. DeCroix, Gregory A., 1999. "Optimal warranties, reliabilities and prices for durable goods in an oligopoly," European Journal of Operational Research, Elsevier, vol. 112(3), pages 554-569, February.
  83. Kim, Eungab, 2005. "Optimal inventory replenishment policy for a queueing system with finite waiting room capacity," European Journal of Operational Research, Elsevier, vol. 161(1), pages 256-274, February.
  84. Dai, Yue & Chao, Xiuli & Fang, Shu-Cherng & Nuttle, Henry L.W., 2005. "Pricing in revenue management for multiple firms competing for customers," International Journal of Production Economics, Elsevier, vol. 98(1), pages 1-16, October.
  85. Gara Afonso & Hyun Song Shin, 2011. "Precautionary Demand and Liquidity in Payment Systems," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s2), pages 589-619, October.
  86. Formaneck, Steven D. & Cozzarin, Brian P., 2013. "Technology adoption and training practices as a constrained shortest path problem," Omega, Elsevier, vol. 41(2), pages 459-472.
  87. Olson, Lars J. & Roy, Santanu, 2010. "Dynamic sanitary and phytosanitary trade policy," Journal of Environmental Economics and Management, Elsevier, vol. 60(1), pages 21-30, July.
  88. Echenique, Federico, 2004. "A weak correspondence principle for models with complementarities," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 145-152, February.
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  93. Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
  94. Jia, Hao, 2020. "The even split rule for (concave) symmetric supermodular functions," Economics Letters, Elsevier, vol. 186(C).
  95. Bellini, Fabio, 2012. "Isotonicity properties of generalized quantiles," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 2017-2024.
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