IDEAS home Printed from https://ideas.repec.org/p/zbw/sfb649/sfb649dp2010-061.html
   My bibliography  Save this paper

Every symmetric 3 x 3 global game of strategic complementarities is noise independent

Author

Listed:
  • Basteck, Christian
  • Daniëls, Tijmen R.

Abstract

We prove that the global game selection in all 3 x 3 payoff-symmetric supermodular games is independent of the noise structure. As far as we know, all other proofs of noise independence of such games rely on the existence of a so-called monotone potential (MP) maximiser. Our result is more general, since some 3 x 3 symmetric supermodular games do not admit an MP maximiser. Moreover, a corollary is that noise independence does not imply the existence of an MP maximiser.

Suggested Citation

  • Basteck, Christian & Daniëls, Tijmen R., 2010. "Every symmetric 3 x 3 global game of strategic complementarities is noise independent," SFB 649 Discussion Papers 2010-061, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2010-061
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/56755/1/642531927.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Panov, Vladimir, 2010. "Non-gaussian component analysis: New ideas, new proofs, new applications," SFB 649 Discussion Papers 2010-026, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    2. Ostap Okhrin & Martin Odening & Wei Xu, 2013. "Systemic Weather Risk and Crop Insurance: The Case of China," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 351-372, June.
    3. Becker, Sascha S. & Nautz, Dieter, 2012. "Inflation, price dispersion and market integration through the lens of a monetary search model," European Economic Review, Elsevier, vol. 56(3), pages 624-634.
    4. Borak, Szymon & Misiorek, Adam & Weron, Rafal, 2010. "Models for Heavy-tailed Asset Returns," MPRA Paper 25494, University Library of Munich, Germany.
    5. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
    6. Fasten, Erik R. & Hofmann, Dirk, 2010. "Two-sided Certification: The market for Rating Agencies," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 338, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    7. Härdle, Wolfgang Karl & Ritov, Ya'acov & Song, Song, 2010. "Partial linear quantile regression and bootstrap confidence bands," SFB 649 Discussion Papers 2010-002, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    8. van Damme, E.E.C., 1991. "Equilibrium selection in 2x2 games," Other publications TiSEM 8553edfd-4c45-4e96-927c-d, Tilburg University, School of Economics and Management.
    9. Kappus, Johanna & Reiß, Markus, 2010. "Estimation of the characteristics of a Lévy process observed at arbitrary frequency," SFB 649 Discussion Papers 2010-015, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    10. Hecht, Carolin & Hanewald, Katja, 2010. "Sociodemographic, economic, and psychological drivers of the demand for life insurance: Evidence from the German Retirement Income Act," SFB 649 Discussion Papers 2010-034, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    11. Hautsch, Nikolaus & Yang, Fuyu, 2012. "Bayesian inference in a Stochastic Volatility Nelson–Siegel model," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3774-3792.
    12. Horst, Ulrich & Pirvu, Traian A. & Dos Reis, Gonçalo, 2010. "On securitization, market completion and equilibrium risk transfer," SFB 649 Discussion Papers 2010-010, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    13. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
    14. Janek, Agnieszka & Kluge, Tino & Weron, Rafał & Wystup, Uwe, 2010. "FX smile in the Heston model," SFB 649 Discussion Papers 2010-047, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    15. Michael C. Burda & Mark Weder, 2016. "Payroll Taxes, Social Insurance, and Business Cycles," Journal of the European Economic Association, European Economic Association, vol. 14(2), pages 438-467.
    16. Lars Boerner & Albrecht Ritschl, 2010. "Communal Responsibility and the Coexistence of Money and Credit Under Anonymous Matching," CEP Discussion Papers dp1034, Centre for Economic Performance, LSE.
    17. Fasten, Erik R. & Hofmann, Dirk, 2010. "Two-sided certification: The market for rating agencies," SFB 649 Discussion Papers 2010-007, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    18. Burnecki, Krzysztof & Janczura, Joanna & Weron, Rafal, 2010. "Building Loss Models," MPRA Paper 25492, University Library of Munich, Germany.
    19. Christine Binzel & Dietmar Fehr, 2010. "Social Relationships and Trust," Working Papers 542, Economic Research Forum, revised 09 Jan 2010.
    20. Horst, Ulrich & Moreno-Bromberg, Santiago, 2010. "Efficiency and equilibria in games of optimal derivative design," SFB 649 Discussion Papers 2010-035, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    21. Yao, Fang, 2010. "Aggregate hazard function in price-setting: A bayesian analysis using macro data," SFB 649 Discussion Papers 2010-020, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    22. Härdle, Wolfgang Karl & Chen, Ying & Schulz, Rainer, 2004. "Prognose mit nichtparametrischen Verfahren," Papers 2004,07, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    23. Honda, Jun, 2011. "Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 663-669.
    24. Nikolaus Hautsch & Mark Podolskij, 2013. "Preaveraging-Based Estimation of Quadratic Variation in the Presence of Noise and Jumps: Theory, Implementation, and Empirical Evidence," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(2), pages 165-183, April.
    25. Mammen, Enno & Rothe, Christoph & Schienle, Melanie, 2010. "Nonparametric regression with nonparametrically generated covariates," SFB 649 Discussion Papers 2010-059, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    26. Scheffel, Juliane, 2010. "Honey, I'll be working late tonight. The effect of individual work routines on leisure time synchronization of couples," SFB 649 Discussion Papers 2010-016, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    27. Nikolaus Hautsch & Peter Malec & Melanie Schienle, 2014. "Capturing the Zero: A New Class of Zero-Augmented Distributions and Multiplicative Error Processes," Journal of Financial Econometrics, Oxford University Press, vol. 12(1), pages 89-121.
    28. Fiocco, Raffaele, 2010. "The optimal industry structure in a vertically related market," SFB 649 Discussion Papers 2010-024, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    29. Hautsch, Nikolaus & Hess, Dieter & Veredas, David, 2011. "The impact of macroeconomic news on quote adjustments, noise, and informational volatility," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2733-2746, October.
    30. Wolfgang Karl Härdle & Yarema Okhrin & Weining Wang, 2015. "Uniform Confidence Bands for Pricing Kernels," Journal of Financial Econometrics, Oxford University Press, vol. 13(2), pages 376-413.
    31. Ulrich Horst & Felix Naujokat, 2008. "Illiquidity and Derivative Valuation," Papers 0901.0091, arXiv.org.
    32. Schmidt, Sandra & Nautz, Dieter, 2010. "Why do financial market experts misperceive future monetary policy decisions?," SFB 649 Discussion Papers 2010-036, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    33. Belomestny, Denis & Krätschmer, Volker, 2010. "Central limit theorems for law-invariant coherent risk measures," SFB 649 Discussion Papers 2010-052, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    34. Xie, Runli, 2010. "Consumption growth and volatility with consumption externalities," SFB 649 Discussion Papers 2010-057, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    35. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    36. Mengmeng Guo & Wolfgang Karl Härdle, 2017. "Adaptive Interest Rate Modelling," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 36(3), pages 241-256, April.
    37. Post, Thomas & Hanewald, Katja, 2010. "Stochastic mortality, subjective survival expectations, and individual saving behavior," SFB 649 Discussion Papers 2010-040, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    38. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.
    39. Härdle, Wolfgang Karl & Silyakova, Elena, 2010. "Volatility investing with variance swaps," SFB 649 Discussion Papers 2010-001, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    40. Panov, Vladimir, 2010. "Estimation of the signal subspace without estimation of the inverse covariance matrix," SFB 649 Discussion Papers 2010-050, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    41. Puriya Abbassi & Dieter Nautz, 2010. "Monetary Transmission Right from the Start: The (Dis)Connection Between the Money Market and the ECB’s Main Refinancing Rates," Working Papers 1011, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 15 Jul 2010.
    42. Song, Song & Härdle, Wolfgang Karl & Ritov, Ya'acov, 2010. "High dimensional nonstationary time series modelling with generalized dynamic semiparametric factor model," SFB 649 Discussion Papers 2010-039, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    43. Wiebach, Nicole & Hildebrandt, Lutz, 2010. "Context effects as customer reaction on delisting of brands," SFB 649 Discussion Papers 2010-056, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    44. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
    45. Baranovski, Alexander L., 2010. "Dynamical systems forced by shot noise as a new paradigm in the interest rate modeling," SFB 649 Discussion Papers 2010-037, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    46. Okhrin, Ostap, 2010. "Fitting high-dimensional copulae to data," SFB 649 Discussion Papers 2010-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Honda, Jun, 2011. "Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 663-669.
    2. Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.
    3. Oury, Marion, 2013. "Noise-independent selection in multidimensional global games," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2638-2665.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hum:wpaper:sfb649dp2010-061 is not listed on IDEAS
    2. repec:hum:wpaper:sfb649dp2010-059 is not listed on IDEAS
    3. Mammen, Enno & Rothe, Christoph & Schienle, Melanie, 2010. "Nonparametric regression with nonparametrically generated covariates," SFB 649 Discussion Papers 2010-059, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. repec:hum:wpaper:sfb649dp2010-055 is not listed on IDEAS
    5. Nikolaus Hautsch & Peter Malec & Melanie Schienle, 2014. "Capturing the Zero: A New Class of Zero-Augmented Distributions and Multiplicative Error Processes," Journal of Financial Econometrics, Oxford University Press, vol. 12(1), pages 89-121.
    6. repec:hum:wpaper:sfb649dp2010-056 is not listed on IDEAS
    7. Wiebach, Nicole & Hildebrandt, Lutz, 2010. "Context effects as customer reaction on delisting of brands," SFB 649 Discussion Papers 2010-056, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    8. repec:hum:wpaper:sfb649dp2010-054 is not listed on IDEAS
    9. Schulze, Franziska, 2010. "Spatial dependencies in German matching functions," SFB 649 Discussion Papers 2010-054, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    10. repec:hum:wpaper:sfb649dp2010-051 is not listed on IDEAS
    11. Sabiwalsky, Ralf, 2010. "Executive compensation regulation and the dynamics of the pay-performance sensitivity," SFB 649 Discussion Papers 2010-051, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    12. repec:hum:wpaper:sfb649dp2010-050 is not listed on IDEAS
    13. Panov, Vladimir, 2010. "Estimation of the signal subspace without estimation of the inverse covariance matrix," SFB 649 Discussion Papers 2010-050, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    14. Borak, Szymon & Misiorek, Adam & Weron, Rafał, 2010. "Models for heavy-tailed asset returns," SFB 649 Discussion Papers 2010-049, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    15. repec:hum:wpaper:sfb649dp2010-049 is not listed on IDEAS
    16. Grith, Maria & Krätschmer, Volker, 2010. "Parametric estimation of risk neutral density functions," SFB 649 Discussion Papers 2010-045, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    17. repec:hum:wpaper:sfb649dp2010-047 is not listed on IDEAS
    18. repec:hum:wpaper:sfb649dp2010-045 is not listed on IDEAS
    19. Janek, Agnieszka & Kluge, Tino & Weron, Rafał & Wystup, Uwe, 2010. "FX smile in the Heston model," SFB 649 Discussion Papers 2010-047, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    20. repec:hum:wpaper:sfb649dp2010-037 is not listed on IDEAS
    21. Horst, Ulrich & Moreno-Bromberg, Santiago, 2010. "Efficiency and equilibria in games of optimal derivative design," SFB 649 Discussion Papers 2010-035, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    22. Baranovski, Alexander L., 2010. "Dynamical systems forced by shot noise as a new paradigm in the interest rate modeling," SFB 649 Discussion Papers 2010-037, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    23. repec:hum:wpaper:sfb649dp2010-035 is not listed on IDEAS
    24. repec:hum:wpaper:sfb649dp2010-034 is not listed on IDEAS
    25. repec:hum:wpaper:sfb649dp2010-032 is not listed on IDEAS
    26. Hecht, Carolin & Hanewald, Katja, 2010. "Sociodemographic, economic, and psychological drivers of the demand for life insurance: Evidence from the German Retirement Income Act," SFB 649 Discussion Papers 2010-034, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    27. Härdle, Wolfgang Karl & Moro, Rouslan A. & Hoffmann, Linda, 2010. "Learning machines supporting bankruptcy prediction," SFB 649 Discussion Papers 2010-032, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    28. repec:hum:wpaper:sfb649dp2010-048 is not listed on IDEAS
    29. Burnecki, Krzysztof & Janczura, Joanna & Weron, Rafal, 2010. "Building Loss Models," MPRA Paper 25492, University Library of Munich, Germany.
    30. Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.
    31. Atsushi Kajii & Stephen Morris, 2020. "Notes on “refinements and higher order beliefs”," The Japanese Economic Review, Springer, vol. 71(1), pages 35-41, January.
    32. Basteck, Christian & Daniëls, Tijmen R., 2011. "Every symmetric 3×3 global game of strategic complementarities has noise-independent selection," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 749-754.
    33. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
    34. Oyama, Daisuke & Takahashi, Satoru, 2015. "Contagion and uninvadability in local interaction games: The bilingual game and general supermodular games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 100-127.
    35. Zenou, Yves & Leister, Matthew & Zhou, Junjie, 2017. "Coordination on Networks," CEPR Discussion Papers 12392, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    global games; noise independence;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:sfb649:sfb649dp2010-061. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sohubde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.