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Adjustment coefficients and exact rational expectations in cointegrated vector autoregressive models

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  • Soeren Johansen
  • Anders Rygh Swensen

    (Department of Mathematics, University of Oslo)

Abstract

In cointegrated vector autoregressive models exact linear rational expectation relations can imply restrictions on the adjustment parameters. We show how such restrictions can be tested, in particular when the restrictions imply weak exogeneity of some variables.

Suggested Citation

  • Soeren Johansen & Anders Rygh Swensen, 2021. "Adjustment coefficients and exact rational expectations in cointegrated vector autoregressive models," Discussion Papers 21-07, University of Copenhagen. Department of Economics.
  • Handle: RePEc:kud:kuiedp:2107
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    File URL: https://www.economics.ku.dk/research/publications/wp/dp-2020/2005.pdf
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    1. Hansen, Lars Peter & Sargent, Thomas J., 1982. "Instrumental variables procedures for estimating linear rational expectations models," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 263-296.
    2. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    3. Aleksei Smirnov & Egor Starkov, 2022. "Bad News Turned Good: Reversal under Censorship," American Economic Journal: Microeconomics, American Economic Association, vol. 14(2), pages 506-560, May.
    4. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    5. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945, Elsevier.
    6. Pål Boug & Ådne Cappelen & Anders Rygh Swensen, 2017. "Inflation Dynamics in a Small Open Economy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(4), pages 1010-1039, October.
    7. Aleksei Smirnov & Egor Starkov, 2019. "Timing of predictions in dynamic cheap talk: experts vs. quacks," ECON - Working Papers 334, Department of Economics - University of Zurich.
    8. Georg Noldeke & Eric van Damme, 1990. "Signalling in a Dynamic Labour Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 1-23.
    9. Raymond Deneckere & Meng-Yu Liang, 2006. "Bargaining with Interdependent Values," Econometrica, Econometric Society, vol. 74(5), pages 1309-1364, September.
    10. Boug, Pål & Cappelen, Adne & Swensen, Anders Rygh, 2010. "The new Keynesian Phillips curve revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 858-874, May.
    11. Kaya, Ayça, 2009. "Repeated signaling games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 841-854, July.
    12. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    13. Bond, Philip & Zhong, Hongda, 2016. "Buying high and selling low: stock repurchases and persistent asymmetric information," LSE Research Online Documents on Economics 67011, London School of Economics and Political Science, LSE Library.
    14. John K.‐H. Quah & Bruno Strulovici, 2012. "Aggregating the Single Crossing Property," Econometrica, Econometric Society, vol. 80(5), pages 2333-2348, September.
    15. William Fuchs & Andrzej Skrzypacz, 2010. "Bargaining with Arrival of New Traders," American Economic Review, American Economic Association, vol. 100(3), pages 802-836, June.
    16. Philip Bond & Hongda Zhong, 2016. "Buying High and Selling Low: Stock Repurchases and Persistent Asymmetric Information," The Review of Financial Studies, Society for Financial Studies, vol. 29(6), pages 1409-1452.
    17. Jeroen M. Swinkels, 1999. "Education Signalling with Preemptive Offers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(4), pages 949-970.
    18. Archishman Chakraborty & Rick Harbaugh, 2010. "Persuasion by Cheap Talk," American Economic Review, American Economic Association, vol. 100(5), pages 2361-2382, December.
      • Archishman Chakraborty & Rick Harbaugh, 2006. "Persuasion by Cheap Talk," Working Papers 2006-10, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Oct 2009.
    19. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    20. Weiss, Andrew, 1983. "A Sorting-cum-Learning Model of Education," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 420-442, June.
    21. Leland, Hayne E & Pyle, David H, 1977. "Informational Asymmetries, Financial Structure, and Financial Intermediation," Journal of Finance, American Finance Association, vol. 32(2), pages 371-387, May.
    22. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    23. John G. Riley, 2001. "Silver Signals: Twenty-Five Years of Screening and Signaling," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 432-478, June.
    24. Sander Heinsalu, 2018. "Dynamic Noisy Signaling," American Economic Journal: Microeconomics, American Economic Association, vol. 10(2), pages 225-249, May.
    25. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    26. Brendan Daley & Brett Green, 2012. "Waiting for News in the Market for Lemons," Econometrica, Econometric Society, vol. 80(4), pages 1433-1504, July.
    27. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    28. Campbell, John Y, 1987. "Does Saving Anticipate Declining Labor Income? An Alternative Test of the Permanent Income Hypothesis," Econometrica, Econometric Society, vol. 55(6), pages 1249-1273, November.
    29. Mathias Drton, 2004. "Multimodality of the likelihood in the bivariate seemingly unrelated regressions model," Biometrika, Biometrika Trust, vol. 91(2), pages 383-392, June.
    30. Chakraborty, Archishman & Harbaugh, Rick, 2007. "Comparative cheap talk," Journal of Economic Theory, Elsevier, vol. 132(1), pages 70-94, January.
      • Archishman Chakraborty & Rick Harbaugh, 2004. "Comparative Cheap Talk," Working Papers 2004-08, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    31. Greg LeBlanc, 1992. "Signalling Strength: Limit Pricing and Predatory Pricing," RAND Journal of Economics, The RAND Corporation, vol. 23(4), pages 493-506, Winter.
    32. Oberhofer, W & Kmenta, J, 1974. "A General Procedure for Obtaining Maximum Likelihood Estimates in Generalized Regression Models," Econometrica, Econometric Society, vol. 42(3), pages 579-590, May.
    33. Ayca Kaya, 2013. "Dynamics of price and advertising as quality signals: anything goes," Economics Bulletin, AccessEcon, vol. 33(2), pages 1556-1564.
    34. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    35. Francesc Dilmé & Fei Li, 2016. "Dynamic Signaling with Dropout Risk," American Economic Journal: Microeconomics, American Economic Association, vol. 8(1), pages 57-82, February.
    36. Bagwell, Kyle & Riordan, Michael H, 1991. "High and Declining Prices Signal Product Quality," American Economic Review, American Economic Association, vol. 81(1), pages 224-239, March.
    37. Grossman, Sanford J. & Perry, Motty, 1986. "Sequential bargaining under asymmetric information," Journal of Economic Theory, Elsevier, vol. 39(1), pages 120-154, June.
    38. Vettas, Nikolaos, 1997. "On the Informational Role of Quantities: Durable Goods and Consumers' Word-of-Mouth Communication," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 915-944, November.
    39. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
    40. Søren Johansen & Anders Rygh Swensen, 2004. "More on testing exact rational expectations in cointegrated vector autoregressive models: Restricted constant and linear term," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 389-397, December.
    41. Tiziano De Angelis & Erik Ekstrom & Kristoffer Glover, 2018. "Dynkin games with incomplete and asymmetric information," Papers 1810.07674, arXiv.org, revised Jul 2020.
    42. Johansen, Soren & Swensen, Anders Rygh, 1999. "Testing exact rational expectations in cointegrated vector autoregressive models," Journal of Econometrics, Elsevier, vol. 93(1), pages 73-91, November.
    43. Anat R. Admati & Motty Perry, 1987. "Strategic Delay in Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 345-364.
    44. Sen, Arijit, 2000. "Multidimensional Bargaining under Asymmetric Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 425-450, May.
    45. Ayça Kaya & Kyungmin Kim, 2018. "Trading Dynamics with Private Buyer Signals in the Market for Lemons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2318-2352.
    46. Jihong Lee & Qingmin Liu, 2013. "Gambling Reputation: Repeated Bargaining With Outside Options," Econometrica, Econometric Society, vol. 81(4), pages 1601-1672, July.
    47. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 355-374.
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    More about this item

    Keywords

    Abstract; Exact rational expectations; Cointegrated VAR model; Reduced rank regression; Adjustment coefficients;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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