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Non-standard analysis with applications to economics

In: Handbook of Mathematical Economics

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  • Anderson, Robert M.

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Suggested Citation

  • Anderson, Robert M., 1991. "Non-standard analysis with applications to economics," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 39, pages 2145-2208, Elsevier.
    • Handle: RePEc:eee:matchp:4-39
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    Citations

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    Cited by:

    1. Dapeng CAI & Takashi Gyoshin NITTA, 2008. "Limit of the Solutions for the Finite Horizon Problems as the Optimal Solution to the Infinite Horizon Optimization Problems," Papers 0803.4050, arXiv.org.
    2. Duffie, Darrell & Sun, Yeneng, 2012. "The exact law of large numbers for independent random matching," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1105-1139.
    3. Peter J. Hammond & Yeneng Sun, 2003. "Monte Carlo simulation of macroeconomic risk with a continuum of agents: the symmetric case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 743-766, March.
    4. Duffie, Darrell & Qiao, Lei & Sun, Yeneng, 2018. "Dynamic directed random matching," Journal of Economic Theory, Elsevier, vol. 174(C), pages 124-183.
    5. Peter J. Hammond, "undated". "Multilaterally Strategy-Proof Mechanisms in Random Aumann--Hildenbrand Macroeconomies," Working Papers 97022, Stanford University, Department of Economics.
    6. Hammond, Peter J., 1999. "Non-Archimedean subjective probabilities in decision theory and games," Mathematical Social Sciences, Elsevier, vol. 38(2), pages 139-156, September.
    7. Frederik Herzberg, 2013. "First steps towards an equilibrium theory for Lévy financial markets," Annals of Finance, Springer, vol. 9(3), pages 543-572, August.
    8. Peter J. Hammond & Yeneng Sun, 2000. "Joint Measurability and the One-way Fubini Property for a Continuum of Independent Random Variables," Working Papers 00008, Stanford University, Department of Economics.
    9. Konovalov, A. & Marakulin, V., 2001. "Equilibria Without the Survival Assumption : A Non-Standard Analysis Approach," Discussion Paper 2001-34, Tilburg University, Center for Economic Research.
    10. Bedrosian, Geghard & Herzberg, Frederik, 2016. "Microeconomic foundations of representative agent models by means of ultraproducts," Center for Mathematical Economics Working Papers 514, Center for Mathematical Economics, Bielefeld University.
    11. Sun, Yeneng & Zhang, Yongchao, 2009. "Individual risk and Lebesgue extension without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 144(1), pages 432-443, January.
    12. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    13. Khan, M. Ali & Sun, Yeneng, 2003. "Exact arbitrage, well-diversified portfolios and asset pricing in large markets," Journal of Economic Theory, Elsevier, vol. 110(2), pages 337-373, June.
    14. Darrell Duffie & Yeneng Sun, 2004. "The Exact Law of Large Numbers for Independent Random Matching," Levine's Bibliography 122247000000000328, UCLA Department of Economics.
    15. M. Ali Khan & Yeneng Sun, 1996. "Hyperfinite Asset Pricing Theory," Cowles Foundation Discussion Papers 1139, Cowles Foundation for Research in Economics, Yale University.
    16. Herzberg, Frederik, 2010. "A representative individual from Arrovian aggregation of parametric individual utilities," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1115-1124, November.
    17. Konovalov, Alexander & Marakulin, Valeri, 2006. "Equilibria without the survival assumption," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 198-215, April.
    18. Carmona, Guilherme & Podczeck, Konrad, 2020. "Pure strategy Nash equilibria of large finite-player games and their relationship to non-atomic games," Journal of Economic Theory, Elsevier, vol. 187(C).
    19. Dow James & Gorton Gary, 1995. "Profitable Informed Trading in a Simple General Equilibrium Model of Asset Pricing," Journal of Economic Theory, Elsevier, vol. 67(2), pages 327-369, December.
    20. Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May.
    21. Konovalov, A. & Marakulin, V., 2002. "Generalized equilibrium in an economy without the survival assumption," Econometric Institute Research Papers EI 2002-49, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    22. Ileana Ruxandra Badea & Carmen Elena Mocanu & Florin F. Nichita & Ovidiu Păsărescu, 2021. "Applications of Non-Standard analysis in Topoi to Mathematical Neurosciences and Artificial Intelligence: Infons, Energons, Receptons (I)," Mathematics, MDPI, vol. 9(17), pages 1-28, August.
    23. He, Wei & Sun, Xiang & Sun, Yeneng, 2017. "Modeling infinitely many agents," Theoretical Economics, Econometric Society, vol. 12(2), May.

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    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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