IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/5795.html
   My bibliography  Save this paper

A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?"

Author

Listed:
  • Beard, Rodney

Abstract

This note examines the complexity of complete transitive binary relations or tournaments using Kolmogorov complexity. The complexity of tournaments calculated using Kolmogorov complexity is then compared to minimally complex tournaments defined in terms of the minimal number of examples needed to describe the tournament. The latter concept is the concept of complexity employed by Rubinstein [6] in his economic theory of language. A proof of Rubinsein's conjecture on the complexity bound of natural language tournaments is provided.

Suggested Citation

  • Beard, Rodney, 2001. "A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?"," MPRA Paper 5795, University Library of Munich, Germany, revised 16 Nov 2007.
  • Handle: RePEc:pra:mprapa:5795
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/5795/2/MPRA_paper_5795.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905, January.
    2. Rubinstein, Ariel, 1996. "Why Are Certain Properties of Binary Relations Relatively More Common in Natural Language?," Econometrica, Econometric Society, vol. 64(2), pages 343-355, March.
    Full references (including those not matched with items on IDEAS)

    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. Blume, Andreas & Franco, April Mitchell, 2007. "Decentralized learning from failure," Journal of Economic Theory, Elsevier, vol. 133(1), pages 504-523, March.
    2. Houser, Daniel & Yang, Yang, 2024. "Learning language: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 217(C), pages 547-559.
    3. Beigman, Eyal, 2010. "Simple games with many effective voters," Games and Economic Behavior, Elsevier, vol. 68(1), pages 15-22, January.
    4. Andreas Blume & April Franco, 2002. "Learning from failure," Staff Report 299, Federal Reserve Bank of Minneapolis.
    5. Fuhai Hong & Xiaojian Zhao, 2017. "The emergence of language differences in artificial codes," Experimental Economics, Springer;Economic Science Association, vol. 20(4), pages 924-945, December.
    6. Birger Wernerfelt, 2004. "Organizational Languages," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(3), pages 461-472, September.
    7. Hernández, Penélope & Urbano, Amparo & Vila, José E., 2012. "Pragmatic languages with universal grammars," Games and Economic Behavior, Elsevier, vol. 76(2), pages 738-752.
    8. Hong, Fuhai & Lim, Wooyoung & Zhao, Xiaojian, 2017. "The emergence of compositional grammars in artificial codes," Games and Economic Behavior, Elsevier, vol. 102(C), pages 255-268.
    9. Devetag, Giovanna & Warglien, Massimo, 2008. "Playing the wrong game: An experimental analysis of relational complexity and strategic misrepresentation," Games and Economic Behavior, Elsevier, vol. 62(2), pages 364-382, March.
    10. Stéphane Luchini, 2002. "De la singularité de la méthode d'évaluation contingente," Économie et Statistique, Programme National Persée, vol. 357(1), pages 141-152.
    11. Suzuki, Toru, 2020. "Efficient communication and indexicality," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 156-165.
    12. Hanappi, Hardy & Hanappi-Egger, Edeltraud, 2004. "New Combinations :Taking Schumpeter's concept serious," MPRA Paper 28396, University Library of Munich, Germany.
    13. Sperlich, Stefan & Uriarte Ayo, José Ramón, 2014. "The Economics of "Why is it so hard to save a threatened Language?"," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    14. Förster, Manuel & Riedel, Frank, 2016. "Distorted Voronoi languages," Center for Mathematical Economics Working Papers 458, Center for Mathematical Economics, Bielefeld University.
    15. Marco Mariotti & Roberto Veneziani, 2018. "Opportunities as Chances: Maximising the Probability that Everybody Succeeds," Economic Journal, Royal Economic Society, vol. 128(611), pages 1609-1633, June.
    16. Kalai, Gil, 2003. "Learnability and rationality of choice," Journal of Economic Theory, Elsevier, vol. 113(1), pages 104-117, November.
    17. Estrada, Fernando, 2010. "Language and argumentation in the controversy economic," MPRA Paper 22852, University Library of Munich, Germany.
    18. Toru Suzuki, 2021. "Pragmatic Ambiguity and Rational Miscommunication," Working Paper Series 2021/04, Economics Discipline Group, UTS Business School, University of Technology, Sydney.
    19. Jeanne Hagenbach & Frédéric Koessler, 2019. "Partial Language Competence," Working Papers hal-03393108, HAL.
    20. M. Keith Chen, 2013. "The Effect of Language on Economic Behavior: Evidence from Savings Rates, Health Behaviors, and Retirement Assets," American Economic Review, American Economic Association, vol. 103(2), pages 690-731, April.

    More about this item

    Keywords

    Economics of language; Binary relations; Tournaments;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • Z00 - Other Special Topics - - General - - - General

    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:pra:mprapa:5795. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.