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The measurement of the value of a language

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  • Alcalde-Unzu, Jorge
  • Moreno-Ternero, Juan D.
  • Weber, Shlomo

Abstract

We address the problem of assessing the value of a language. We consider a stylized model of multilingual societies in which we introduce axioms formalizing the principles of impartiality, monotonicity, invariance and consistency. We show that the combination of these axioms characterizes a family of communicative benefit functions which assign a value to each language in the society. The functions within the family involve a two-step procedure. First, they identify the groups of agents that can communicate in each language. Second, each group is assigned an aggregate (size-dependent) value, which is evenly divided among the languages in which the group can communicate. Our novel approach could be useful in a wide range of empirical applications and policy decisions.

Suggested Citation

  • Alcalde-Unzu, Jorge & Moreno-Ternero, Juan D. & Weber, Shlomo, 2022. "The measurement of the value of a language," Journal of Economic Theory, Elsevier, vol. 203(C).
  • Handle: RePEc:eee:jetheo:v:203:y:2022:i:c:s0022053122000588
    DOI: 10.1016/j.jet.2022.105468
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    1. Victor Ginsburgh & Shlomo Weber, 2016. "The Palgrave Handbook of Economics and Language," ULB Institutional Repository 2013/277408, ULB -- Universite Libre de Bruxelles.
    2. A. van den Nouweland & P. Borm & W. van Golstein Brouwers & R. Groot Bruinderink & S. Tijs, 1996. "A Game Theoretic Approach to Problems in Telecommunication," Management Science, INFORMS, vol. 42(2), pages 294-303, February.
    3. Chambers,Christopher P. & Echenique,Federico, 2016. "Revealed Preference Theory," Cambridge Books, Cambridge University Press, number 9781107087804.
    4. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    5. Ginsburgh, Victor & Ortuño-Ortín, Ignacio & Weber, Shlomo, 2007. "Learning foreign languages: Theoretical and empirical implications of the Selten and Pool model," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 337-347.
    6. Victor Ginsburgh & Shlomo Weber, 2020. "The Economics of Language," Journal of Economic Literature, American Economic Association, vol. 58(2), pages 348-404, June.
    7. Pool, Jonathan, 1991. "The Official Language Problem," American Political Science Review, Cambridge University Press, vol. 85(2), pages 495-514, June.
    8. Castañeda Dower, Paul & Ginsburgh, Victor & Weber, Shlomo, 2017. "Colonial legacy, polarization and linguistic disenfranchisement: The case of the Sri Lankan War," Journal of Development Economics, Elsevier, vol. 127(C), pages 440-448.
    9. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    10. William Easterly & Ross Levine, 1997. "Africa's Growth Tragedy: Policies and Ethnic Divisions," The Quarterly Journal of Economics, Oxford University Press, vol. 112(4), pages 1203-1250.
    11. Ginsburgh, Victor & Moreno-Ternero, Juan D. & Weber, Shlomo, 2017. "Ranking languages in the European Union: Before and after Brexit," European Economic Review, Elsevier, vol. 93(C), pages 139-151.
    12. Jeffrey Church & Ian King, 1993. "Bilingualism and Network Externalities," Canadian Journal of Economics, Canadian Economics Association, vol. 26(2), pages 337-345, May.
    13. repec:adr:anecst:y:2011:i:101-102:p:13 is not listed on IDEAS
    14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    15. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2013. "A new axiomatic approach to the evaluation of population health," Journal of Health Economics, Elsevier, vol. 32(3), pages 515-523.
    16. Victor Ginsburgh & Ignacio Ortuño-Ortín & Shlomo Weber, 2005. "Disenfranchisement In Linguistically Diverse Societies: The Case Of The European Union," Journal of the European Economic Association, MIT Press, vol. 3(4), pages 946-965, June.
    17. Juan D Moreno-Ternero & John E Roemer, 2006. "Impartiality, Priority, and Solidarity in the Theory of Justice," Econometrica, Econometric Society, vol. 74(5), pages 1419-1427, September.
    18. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2009. "Size approval voting," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1187-1210, May.
    19. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    20. Blume, Andreas, 2000. "Coordination and Learning with a Partial Language," Journal of Economic Theory, Elsevier, vol. 95(1), pages 1-36, November.
    21. Giovannoni, Francesco & Xiong, Siyang, 2019. "Communication under language barriers," Journal of Economic Theory, Elsevier, vol. 180(C), pages 274-303.
    22. Jean Gabszewicz & Victor Ginsburgh & Shlomo Weber, 2011. "Bilingualism and Communicative Benefits," Annals of Economics and Statistics, GENES, issue 101-102, pages 271-286.
    23. , D. & Tessone, Claudio J. & ,, 2014. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society, vol. 9(3), September.
    24. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905, January.
    25. Edward P. Lazear, 1999. "Culture and Language," Journal of Political Economy, University of Chicago Press, vol. 107(S6), pages 95-126, December.
    26. GINSBURGH, Victor & PRIETO-RODRIGUEZ, Juan, 2007. "Returns to foreign languages of native workers in the EU," LIDAM Discussion Papers CORE 2007021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    27. Christian Dustmann & Francesca Fabbri, 2003. "Language proficiency and labour market performance of immigrants in the UK," Economic Journal, Royal Economic Society, vol. 113(489), pages 695-717, July.
    28. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
    29. Hoyt Bleakley & Aimee Chin, 2004. "Language Skills and Earnings: Evidence from Childhood Immigrants," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 481-496, May.
    30. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
    31. David Albouy, 2008. "The wage gap between Francophones and Anglophones: a Canadian perspective, 1970-2000," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1211-1238, November.
    32. Sawyer, Jack & MacRae, Duncan, 1962. "Game Theory and Cumulative Voting in Illinois: 1902–1954," American Political Science Review, Cambridge University Press, vol. 56(4), pages 936-946, December.
    33. Gerald J. Glasser, 1959. "Game Theory and Cumulative Voting for Corporate Directors," Management Science, INFORMS, vol. 5(2), pages 151-156, January.
    34. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    35. Joshi, Sumit & Mahmud, Ahmed Saber & Sarangi, Sudipta, 2020. "Network formation with multigraphs and strategic complementarities," Journal of Economic Theory, Elsevier, vol. 188(C).
    36. Armstrong, Alex, 2015. "Equilibria and efficiency in bilingual labour markets," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 204-220.
    37. Chiswick, Barry R. & Miller, Paul W., 2014. "International Migration and the Economics of Language," IZA Discussion Papers 7880, Institute of Labor Economics (IZA).
    38. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
    39. Victor Ginsburgh & Shlomo Weber, 2011. "How Many Languages Do We Need? The Economics of Linguistic Diversity," Economics Books, Princeton University Press, edition 1, number 9481.
    40. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    41. Thomson, William, 2012. "On The Axiomatics Of Resource Allocation: Interpreting The Consistency Principle," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 385-421, November.
    42. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    43. Ginsburgh, Victor & Moreno-Ternero, Juan D. & Weber, Shlomo, 2017. "Ranking languages in the European Union: Before and after Brexit," European Economic Review, Elsevier, vol. 93(C), pages 139-151.
    44. Asheim, Geir B. & Bossert, Walter & D'Ambrosio, Conchita & Vögele, Claus, 2020. "The measurement of resilience," Journal of Economic Theory, Elsevier, vol. 189(C).
    45. David Albouy, 2008. "The wage gap between Francophones and Anglophones: a Canadian perspective, 1970–2000," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 41(4), pages 1211-1238, November.
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    More about this item

    Keywords

    Value of a language; Communicative benefits; Measure; Axioms; Characterization;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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