IDEAS home Printed from https://ideas.repec.org/p/lvl/lacicr/0938.html
   My bibliography  Save this paper

Share the Gain, Share the Pain? Almost Transferable Utility, Changes in Production Possibilities, and Bargaining Solutions

Author

Listed:
  • Elisabeth Gugl
  • Justin Leroux

Abstract

Consider an n-person economy in which efficiency is independent of distribution but the cardinal properties of the agents’ utility functions precludes transferable utility (a property we call “Almost TU”). We show that Almost TU is a necessary and sufficient condition for all agents to either benefit jointly or suffer jointly with any change in production possibilities under well-behaved generalized utilitarian bargaining solutions (of which the Nash Bargaining and the utilitarian solutions are special cases). We apply the result to household decisionmaking in the contex of the Rotten Kid Theorem and in evaluating a change in family taxation.

Suggested Citation

  • Elisabeth Gugl & Justin Leroux, 2009. "Share the Gain, Share the Pain? Almost Transferable Utility, Changes in Production Possibilities, and Bargaining Solutions," Cahiers de recherche 0938, CIRPEE.
    • Handle: RePEc:lvl:lacicr:0938
    as

    Download full text from publisher

    File URL: http://www.cirpee.org/fileadmin/documents/Cahiers_2009/CIRPEE09-38.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
    2. Rubalcava, L. & Thomas, D., 2000. "Family Bargaining and Welfare," Papers 00-10, RAND - Labor and Population Program.
    3. Elisabeth Gugl, 2009. "Income splitting, specialization, and intra‐family distribution," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 42(3), pages 1050-1071, August.
    4. Robert A. Pollak, 2011. "Family Bargaining and Taxes: A Prolegomenon to the Analysis of Joint Taxation ," CESifo Economic Studies, CESifo Group, vol. 57(2), pages 216-244, June.
    5. Antoine Bommier & Pierre Dubois, 2004. "Rotten Parents and Child Labor," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 240-248, February.
    6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    7. Jean-Marie Baland & James A. Robinson, 2000. "Is Child Labor Inefficient?," Journal of Political Economy, University of Chicago Press, vol. 108(4), pages 663-679, August.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. Yongsheng Xu & Naoki Yoshihara, 2008. "The Behaviour Of Solutions To Bargaining Problems On The Basis Of Solidarity," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 133-138, March.
    10. Yves Sprumont, 2008. "Monotonicity and Solidarity Axioms in Economics and Game Theory," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 71-94, Springer.
    11. Bergstrom, Theodore C & Cornes, Richard C, 1983. "Independence of Allocative Efficiency from Distribution in the Theory of Public Goods," Econometrica, Econometric Society, vol. 51(6), pages 1753-1765, November.
    12. Anbarci, Nejat & Skaperdas, Stergios & Syropoulos, Constantinos, 2002. "Comparing Bargaining Solutions in the Shadow of Conflict: How Norms against Threats Can Have Real Effects," Journal of Economic Theory, Elsevier, vol. 106(1), pages 1-16, September.
    13. Gerber, Anke & Upmann, Thorsten, 2006. "Bargaining solutions at work: Qualitative differences in policy implications," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 162-175, September.
    14. Matthias Wrede, 2003. "The Income Splitting Method: Is it Good for Both Marriage Partners?," German Economic Review, Verein für Socialpolitik, vol. 4(2), pages 203-216, May.
    15. Chiappori, Pierre-Andre, 2010. "Testable implications of transferable utility," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1302-1317, May.
    16. Marjorie B. McElroy, 1990. "The Empirical Content of Nash-Bargained Household Behavior," Journal of Human Resources, University of Wisconsin Press, vol. 25(4), pages 559-583.
    17. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.
    18. Bergstrom, Theodore C. & Cornes, Richard C., 1981. "Gorman and Musgrave are dual : An Antipodean theorem on public goods," Economics Letters, Elsevier, vol. 7(4), pages 371-378.
    19. Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), 2008. "Rational Choice and Social Welfare," Studies in Choice and Welfare, Springer, number 978-3-540-79832-3, December.
    20. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    21. Pierre-Andre Chiappori & Bernard Fortin & Guy Lacroix, 2002. "Marriage Market, Divorce Legislation, and Household Labor Supply," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 37-72, February.
    22. Shelly J. Lundberg & Robert A. Pollak & Terence J. Wales, 1997. "Do Husbands and Wives Pool Their Resources? Evidence from the United Kingdom Child Benefit," Journal of Human Resources, University of Wisconsin Press, vol. 32(3), pages 463-480.
    23. Chun, Youngsub & Thomson, William, 1988. "Monotonicity properties of bargaining solutions when applied to economics," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 11-27, February.
    24. Bergstrom, Theodore C. & Varian, Hal R., 1985. "When do market games have transferable utility?," Journal of Economic Theory, Elsevier, vol. 35(2), pages 222-233, August.
    25. Bergstrom, Theodore C, 1989. "A Fresh Look at the Rotten Kid Theorem--and Other Household Mysteries," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1138-1159, October.
    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. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    2. Elisabeth Gugl & Linda Welling, 2017. "Efficiency of Family Bargaining Models with Renegotiation: The Role of Transferable Utility across Periods," Studies in Microeconomics, , vol. 5(1), pages 53-83, June.
    3. Elisabeth Gugl & Linda Welling, 2012. "Time with sons and daughters," Review of Economics of the Household, Springer, vol. 10(2), pages 277-298, June.
    4. Elisabeth Gugl & Justin Leroux, 2015. "The Rotten Kid Theorem and Almost Transferable Utility," CESifo Working Paper Series 5642, CESifo.

    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. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2015. "Is utility transferable? a revealed preference analysis," Theoretical Economics, Econometric Society, vol. 10(1), January.
    2. Olivier Bargain & Miriam Beblo & Denis Beninger & Richard Blundell & Raquel Carrasco & Maria-Concetta Chiuri & François Laisney & Valérie Lechene & Nicolas Moreau & Michal Myck & Javier Ruiz-Castillo , 2006. "Does the Representation of Household Behavior Matter for Welfare Analysis of Tax-benefit Policies? An Introduction," Review of Economics of the Household, Springer, vol. 4(2), pages 99-111, June.
    3. Donni, Olivier & Molina, José Alberto, 2018. "Household Collective Models: Three Decades of Theoretical Contributions and Empirical Evidence," IZA Discussion Papers 11915, Institute of Labor Economics (IZA).
    4. Elisabeth Gugl & Linda Welling, 2017. "Efficiency of Family Bargaining Models with Renegotiation: The Role of Transferable Utility across Periods," Studies in Microeconomics, , vol. 5(1), pages 53-83, June.
    5. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    6. Pareena G. Lawrence & Marakah Mancini, 2008. "La toma de decisiones de los hogares en Venezuela," Revista de Economía Institucional, Universidad Externado de Colombia - Facultad de Economía, vol. 10(18), pages 213-239, January-J.
    7. André de Palma & Nathalie Picard & Ignacio Inoa, 2014. "Discrete choice decision-making with multiple decision-makers within the household," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 16, pages 363-382, Edward Elgar Publishing.
    8. Olivier Bargain & Olivier Donni, 2014. "Optimal Commodity Taxation and Redistribution within Households," Economica, London School of Economics and Political Science, vol. 81(321), pages 48-62, January.
    9. André de Palma & Nathalie Picard & Robin Lindsey, 2021. "Activity and Transportation Decisions within Households," THEMA Working Papers 2021-18, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    10. Elisabeth Gugl, 2014. "Transferable Utility in the Case of Many Private and Many Public Goods," Studies in Microeconomics, , vol. 2(2), pages 133-140, December.
    11. Bruno Deffains & Jean Mercier Ythier, 2009. "Optimal production of transplant care services," Working Papers of BETA 2009-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    12. Chiappori, Pierre-André & Donni, Olivier, 2006. "Les modèles non unitaires de comportement du ménage : un survol de la littérature," L'Actualité Economique, Société Canadienne de Science Economique, vol. 82(1), pages 9-52, mars-juin.
    13. Smith, V. Kerry & Van Houtven, George, 1998. "Non-Market Valuation and the Household," RFF Working Paper Series dp-98-31, Resources for the Future.
    14. Robert Pollak, 2003. "Gary Becker's Contributions to Family and Household Economics," Review of Economics of the Household, Springer, vol. 1(1), pages 111-141, January.
    15. Majlesi, Kaveh, 2016. "Labor market opportunities and women's decision making power within households," Journal of Development Economics, Elsevier, vol. 119(C), pages 34-47.
    16. Anyck Dauphin & Abdel‐Rahmen El Lahga & Bernard Fortin & Guy Lacroix, 2011. "Are Children Decision‐Makers within the Household?," Economic Journal, Royal Economic Society, vol. 121(553), pages 871-903, June.
    17. Deffains, Bruno & Mercier Ythier, Jean, 2010. "Optimal production of transplant care services," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 638-653, October.
    18. Jaime Andres Sarmiento Espinel, 2012. "Children and non-participation in a model of collective household labor supply," Serie documentos de trabajo del Centro de Estudios Económicos 2012-14, El Colegio de México, Centro de Estudios Económicos.
    19. Steven G. Medema, 2020. "The Coase Theorem at Sixty," Journal of Economic Literature, American Economic Association, vol. 58(4), pages 1045-1128, December.
    20. Elisabeth Gugl, 2007. "Almost transferable utility, changes in production possibilities, and the Nash Bargaining and the Kalai-Smorodinsky Solutions," Department Discussion Papers 0702, Department of Economics, University of Victoria.

    More about this item

    Keywords

    Axiomatic Bargaining; Solidarity; Transferable Utility; FamilyT-taxation; Rotten Kid Theorem;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation

    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:lvl:lacicr:0938. 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: Manuel Paradis (email available below). General contact details of provider: https://edirc.repec.org/data/cirpeca.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.