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A convergent process of price adjustment and global newton methods

Citations

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Cited by:

  1. Kenneth J. Arrow & Timothy J. Kehoe, 1994. "Distinguished Fellow: Herbert Scarf's Contributions to Economics," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 161-181, Fall.
  2. Aad Ruiter, 2020. "Approximating Walrasian Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 577-596, February.
  3. Sean Crockett, 2013. "Price Dynamics In General Equilibrium Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 421-438, July.
  4. van der Laan, G. & Talman, A.J.J., 2002. "Dynamic Adjustment of Supply Constrained Disequilibria to Walrasian Equilibrium," Other publications TiSEM 8c5d443d-92c8-4e82-bcef-3, Tilburg University, School of Economics and Management.
  5. van den Elzen, A.H. & van der Laan, G. & Talman, A.J.J., 1985. "Adjustment processes for finding equilibria on the simplotope," Other publications TiSEM 21421db2-1e09-461b-9a16-a, Tilburg University, School of Economics and Management.
  6. Jugal Garg & Ruta Mehta & Vijay V. Vaziranic, 2018. "Substitution with Satiation: A New Class of Utility Functions and a Complementary Pivot Algorithm," Mathematics of Operations Research, INFORMS, vol. 43(3), pages 996-1024, August.
  7. Jie Pan, "undated". "Evolution Variational Inequality Model of a Dynamic Adjustment Process in a Spatial Market Equilibrium Problem," Computing in Economics and Finance 1996 _044, Society for Computational Economics.
  8. Juergen Huber & Martin Shubik & Shyam Sunder, 2009. "Default Penalty as a Disciplinary and Selection Mechanism in Presence of Multiple Equilibria," Cowles Foundation Discussion Papers 1730, Cowles Foundation for Research in Economics, Yale University.
  9. Alvaro Alvarez-Parrilla & Martín Eduardo Frías-Armenta & Elifalet López-González & Carlos Yee-Romero, 2012. "On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-21, October.
  10. Joosten, Reinoud & Talman, Dolf, 1998. "A globally convergent price adjustment process for exchange economies," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 15-26, January.
  11. Fernandez-Anaya, Guillermo & Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos, 2007. "On feedback and stable price adjustment mechanisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 211-226.
  12. Joosten, Reinoud, 1995. "Evolution, dynamics, and fixed points," Research Memorandum 005, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
  13. Herings, Jean-Jacques & van der Laan, Gerard & Talman, Dolf & Venniker, Richard, 1997. "Equilibrium adjustment of disequilibrium prices," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 53-77, February.
  14. Huber, Juergen & Shubik, Martin & Sunder, Shyam, 2016. "Default penalty as a selection mechanism among multiple equilibria," Journal of Behavioral and Experimental Finance, Elsevier, vol. 9(C), pages 20-38.
  15. Herings, P. Jean-Jacques & van der Laan, Gerard & Venniker, Richard, 1996. "The Transition from a Drèze Equilibrium to a Walrasian Equilibrium," LIDAM Discussion Papers IRES 1996013, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  16. Shubo (Gabriel) Xu & Charles S Peskin, 2022. "The impact of universal recycling on the evolution of economic diversity," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-32, January.
  17. Anjan Mukherji, 2012. "The second fundamental theorem of positive economics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 125-138, June.
  18. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 1998. "Price-Quantity Adjustment in a Keynesian Economy," Discussion Paper 1998-118, Tilburg University, Center for Economic Research.
  19. Wei Ma & Chuangyin Dang, 2013. "The Optimal Price of Default," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 145-167, May.
  20. Z. Lin & Y. Li, 1999. "Homotopy Method for Solving Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 100(1), pages 207-218, January.
  21. Doup, T.M. & van den Elzen, A.H. & Talman, A.J.J., 1989. "Homotopy interpretation of price adjustment proces," Research Memorandum FEW 384, Tilburg University, School of Economics and Management.
  22. Yuval Rabani & Leonard J. Schulman, 2016. "The Invisible Hand of Laplace: the Role of Market Structure in Price Convergence and Oscillation," Papers 1602.07628, arXiv.org.
  23. Asparouhova, Elena & Bossaerts, Peter, 2009. "Modelling price pressure in financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 119-130, October.
  24. van der Laan, G. & Talman, A.J.J., 1982. "From fixed point to equilibrium," Other publications TiSEM c66927da-83a1-482b-addf-9, Tilburg University, School of Economics and Management.
  25. Gaël Giraud, 2004. "The limit-price exchange process," Cahiers de la Maison des Sciences Economiques b04118, Université Panthéon-Sorbonne (Paris 1).
  26. Govindan, Srihari & Wilson, Robert, 2004. "Computing Nash equilibria by iterated polymatrix approximation," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1229-1241, April.
  27. Jean-Jacques Herings, P., 2002. "Universally converging adjustment processes--a unifying approach," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 341-370, November.
  28. Herings, P. Jean-Jacques, 2024. "Globally and universally convergent price adjustment processes," Journal of Mathematical Economics, Elsevier, vol. 113(C).
  29. Goeree, Jacob K. & Lindsay, Luke, 2016. "Market design and the stability of general equilibrium," Journal of Economic Theory, Elsevier, vol. 165(C), pages 37-68.
  30. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, September.
  31. Shubik, Martin, 1990. "A game theoretic approach to the theory of money and financial institutions," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 5, pages 171-219, Elsevier.
  32. Earl A. Thompson & Charles R. Hickson, 2006. "Predicting bubbles," Global Business and Economics Review, Inderscience Enterprises Ltd, vol. 8(3/4), pages 217-246.
  33. Yang Zhan & Chuangyin Dang, 2018. "A smooth path-following algorithm for market equilibrium under a class of piecewise-smooth concave utilities," Computational Optimization and Applications, Springer, vol. 71(2), pages 381-402, November.
  34. Benjamin Lev, 1998. "Book Reviews," Interfaces, INFORMS, vol. 28(1), pages 113-118, February.
  35. Reiter, Stanley & Maroulis, Spiro, 2008. "Stable processes of exchange," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1398-1412, December.
  36. van den Elzen, A.H., 1995. "An adjustment process for the standard Arrow/Debreu model with production," Other publications TiSEM 7afc3fb6-f550-47e7-aa56-0, Tilburg University, School of Economics and Management.
  37. Frank Ackerman, 2001. "Still dead after all these years: interpreting the failure of general equilibrium theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 9(2), pages 119-139.
  38. Keyzer, Michiel & van Wesenbeeck, Lia, 2005. "Equilibrium selection in games: the mollifier method," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 285-301, April.
  39. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.
  40. Z.H. Lin & D.L. Zhu & Z.P. Sheng, 2003. "Finding a Minimal Efficient Solution of a Convex Multiobjective Program," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 587-600, September.
  41. Herings, P.J.J., 1994. "A globally and universally stable quantity adjustment process for an exchange economy with price rigidities," Discussion Paper 1994-111, Tilburg University, Center for Economic Research.
  42. Polyak, B.T., 2007. "Newton's method and its use in optimization," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1086-1096, September.
  43. van der Laan, G. & Talman, A.J.J., 1985. "Adjustment processes for finding economic equilibria," Other publications TiSEM 90ab0a23-b91a-4c4b-b4b7-8, Tilburg University, School of Economics and Management.
  44. Dakhlia, Sami, 1999. "Testing for a unique equilibrium in applied general equilibrium models," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1281-1297, September.
  45. Boone, C.A.J.J. & Roijakkers, A.H.W.M. & van Olffen, W., 2002. "Locus of control and study program choice: evidence of personality sorting in educational choice," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  46. Sjur Didrik Flåm, 2020. "Emergence of price-taking Behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 847-870, October.
  47. Jean-Jacques Herings, P., 1997. "A globally and universally stable price adjustment process," Journal of Mathematical Economics, Elsevier, vol. 27(2), pages 163-193, March.
  48. Sergio Parrinello, 2005. "Intertemporal Competitive Equilibrium, Capital And The Stability Of Tâtonnement Pricing Revisited," Metroeconomica, Wiley Blackwell, vol. 56(4), pages 514-531, November.
  49. Tuinstra, J., 2000. "Price adjustment in a model of monopolistic competition," CeNDEF Working Papers 00-13, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  50. Whalley, John & Zhang, Shunming, 2014. "Parametric persistence of multiple equilibria in an economy directly calibrated to 5 equilibria," Economic Modelling, Elsevier, vol. 41(C), pages 356-364.
  51. Yang Zhan & Chuangyin Dang, 2021. "Computing equilibria for markets with constant returns production technologies," Annals of Operations Research, Springer, vol. 301(1), pages 269-284, June.
  52. David Emanuel Andersson & Ã…ke E. Andersson, 2019. "Phase transitions as a cause of economic development," Environment and Planning A, , vol. 51(3), pages 670-686, May.
  53. Nagurney, Anna & Zhang, Ding, 1996. "On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 43-62.
  54. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
  55. Polterovich, Victor & Spivak, Vladimir, 1982. "Отображения С Валовой Заменимостью В Теории Экономического Равновесия [Gross Substitutability Mappings in Economic Equilibrium Theory]," MPRA Paper 21814, University Library of Munich, Germany.
  56. Govindan, Srihari & Wilson, Robert, 2003. "A global Newton method to compute Nash equilibria," Journal of Economic Theory, Elsevier, vol. 110(1), pages 65-86, May.
  57. Yin Chen & Chuangyin Dang, 2019. "A Reformulation-Based Simplicial Homotopy Method for Approximating Perfect Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 877-891, October.
  58. Anne Balthasar, 2010. "Equilibrium tracing in strategic-form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 39-54, January.
  59. Jean-Sébastien Lenfant, 2011. "General equilibrium after Sonnenschein, Mantel and Debreu: Trends and perspectives [L'équilibre général depuis Sonnenschein, Mantel et Debreu : courants et perspectives]," Post-Print hal-01742978, HAL.
  60. Cavalli, Fausto & Naimzada, Ahmad, 2015. "A tâtonnement process with fading memory, stabilization and optimal speed of convergence," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 116-129.
  61. Demarzo, Peter M. & Eaves, B. Curtis, 1996. "Computing equilibria of GEI by relocalization on a Grassmann manifold," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 479-497.
  62. Jean-Sébastien Lenfant, 2018. "Substitutability and the Quest for Stability," Working Papers hal-01764115, HAL.
  63. Herings, Jean-Jacques & van der Laan, Gerard & Venniker, Richard, 1998. "The transition from a Dreze equilibrium to a Walrasian equilibrium1," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 303-330, April.
  64. Herrmann, John D. & Kahn, Peter J., 1999. "A continuity property for local price adjustment mechanisms," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 419-453, May.
  65. Herings,P. Jean-Jacques, 2000. "Universally Stable Adjustment Processes - A Unifying Approach -," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  66. van den Elzen, Antoon, 1997. "An adjustment process for the standard Arrow-Debreu model with production," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 315-324, April.
  67. Wei Ma, 2015. "A Constructive Proof of the Existence of Collateral Equilibrium for a Two-Period Exchange Economy Based on a Smooth Interior-Point Path," Computational Economics, Springer;Society for Computational Economics, vol. 45(1), pages 1-30, January.
  68. Mukherji, Anjan, 2007. "Global stability condition on the plane: A general law of demand," Journal of Economic Theory, Elsevier, vol. 134(1), pages 583-592, May.
  69. Denizalp Goktas & Jiayi Zhao & Amy Greenwald, 2023. "T\^atonnement in Homothetic Fisher Markets," Papers 2306.04890, arXiv.org, revised Feb 2025.
  70. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
  71. Arkit, Aleksandra, 2003. "Globally stable price dynamics," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 27-38, February.
  72. J. Chen & L. Qi, 2010. "Pseudotransient Continuation for Solving Systems of Nonsmooth Equations with Inequality Constraints," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 223-242, November.
  73. Rabani, Yuval & Schulman, Leonard J., 2021. "The invisible hand of Laplace: The role of market structure in price convergence and oscillation," Journal of Mathematical Economics, Elsevier, vol. 95(C).
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