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Household Formation and Markets

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  • Hans Gersbach
  • Hans Haller
  • Hideo Konishi

Abstract

We consider competitive markets for multiple commodities with endogenous formation of one- or two-person households. Within each two-person household, externalities from the partner’s commodity consumption and unpriced actions are allowed. Each individual has two types of traits: observable characteristics and unobservable taste characteristics. Each individual gets utility from his/her own private consumption, from discrete actions such as job-choice, from the partner’s observable characteristics such as appearance and hobbies, from some of the partner’s consumption vectors, and from the partner’s action choices. We investigate competitive market outcomes with an endogenous household structure in which no individual and no man/woman-pair can deviate profitably. We find a set of sufficient conditions under which a stable matching equilibrium exists. We further establish the first welfare theorem for this economy.

Suggested Citation

  • Hans Gersbach & Hans Haller & Hideo Konishi, 2013. "Household Formation and Markets," CESifo Working Paper Series 4414, CESifo.
    • Handle: RePEc:ces:ceswps:_4414
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    1. William R. Zame, 2007. "Incentives, Contracts, and Markets: A General Equilibrium Theory of Firms," Econometrica, Econometric Society, vol. 75(5), pages 1453-1500, September.
    2. Andrew Postlewaite, 1979. "Manipulation via Endowments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 255-262.
    3. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    4. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    5. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
    6. Gersbach, Hans & Haller, Hans, 2010. "Club theory and household formation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 715-724, September.
    7. Cole, Harold L. & Prescott, Edward C., 1997. "Valuation Equilibrium with Clubs," Journal of Economic Theory, Elsevier, vol. 74(1), pages 19-39, May.
    8. Georg Nöldeke & Larry Samuelson, 2015. "Investment and Competitive Matching," Econometrica, Econometric Society, vol. 83(3), pages 835-896, May.
    9. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    10. Kapteyn, Arie & Kooreman, Peter, 1992. "Household labor supply: What kind of data can tell us how many decision makers there are?," European Economic Review, Elsevier, vol. 36(2-3), pages 365-371, April.
    11. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    12. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    13. Kaneko, Mamoru & Wooders, Myrna Holtz, 1986. "The core of a game with a continuum of players and finite coalitions: The model and some results," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 105-137, October.
    14. Apps,Patricia & Rees,Ray, 2009. "Public Economics and the Household," Cambridge Books, Cambridge University Press, number 9780521887878, January.
    15. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
    16. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    17. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    18. Michele Gori, 2010. "Endogenous household formation and inefficiency in a general equilibrium model," Working Papers - Mathematical Economics 2010-09, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Oct 2010.
    19. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
    20. Bourguignon, Francois & Chiappori, Pierre-Andre, 1992. "Collective models of household behavior : An introduction," European Economic Review, Elsevier, vol. 36(2-3), pages 355-364, April.
    21. Safra, Zvi, 1985. "Existence of equilibrium for walrasian endowment games," Journal of Economic Theory, Elsevier, vol. 37(2), pages 366-378, December.
    22. Konishi, Hideo, 1996. "Voting with Ballots and Feet: Existence of Equilibrium in a Local Public Good Economy," Journal of Economic Theory, Elsevier, vol. 68(2), pages 480-509, February.
    23. Wooders, Myrna Holtz, 1988. "Stability of jurisdiction structures in economies with local public goods," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 29-49, February.
    24. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
    25. Pines,David & Sadka,Efraim & Zilcha,Itzhak (ed.), 1998. "Topics in Public Economics," Cambridge Books, Cambridge University Press, number 9780521561365.
    26. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    27. Joseph Greenberg, 1979. "Existence and Optimality of Equilibrium in Labour-managed Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(3), pages 419-433.
    28. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    29. Gilles, Robert P. & Scotchmer, Suzanne, 1997. "Decentralization in Replicated Club Economies with Multiple Private Goods," Journal of Economic Theory, Elsevier, vol. 72(2), pages 363-387, February.
    30. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    31. Gersbach, Hans & Haller, Hans, 2011. "Groups, collective decisions and markets," Journal of Economic Theory, Elsevier, vol. 146(1), pages 275-299, January.
    32. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
    33. Blundell,R. W. & Preston,Ian & Walker,Ian (ed.), 1994. "The Measurement of Household Welfare," Cambridge Books, Cambridge University Press, number 9780521451956.
    34. Conley, John P. & Wooders, Myrna H., 1997. "Equivalence of the Core and Competitive Equilibrium in a Tiebout Economy with Crowding Types," Journal of Urban Economics, Elsevier, vol. 41(3), pages 421-440, May.
    35. Alkan, Ahmet & Gale, David, 1990. "The core of the matching game," Games and Economic Behavior, Elsevier, vol. 2(3), pages 203-212, September.
    36. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    37. Konishi, Hideo, 2013. "Entrepreneurial land developers: Joint production, local externalities, and mixed housing developments," Journal of Urban Economics, Elsevier, vol. 75(C), pages 68-79.
    38. Hideo Konishi, 2010. "Efficient Mixed Clubs: Nonlinear‐Pricing Equilibria With Entrepreneurial Managers," The Japanese Economic Review, Japanese Economic Association, vol. 61(1), pages 35-63, March.
    39. Hideo Konishi, 2011. "Entrepreneurial Land Developers: Joint Production, Local Externalities, and Mixed Housing," Boston College Working Papers in Economics 777, Boston College Department of Economics, revised 06 Apr 2013.
    40. Orhan Ayg?n & Tayfun S?nmez, 2013. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 103(5), pages 2050-2051, August.
    41. M. R. Rosenzweig & Stark, O. (ed.), 1997. "Handbook of Population and Family Economics," Handbook of Population and Family Economics, Elsevier, edition 1, volume 1, number 1.
    42. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    43. Haller, Hans, 1988. "Manipulation of endowments in replica economies : An example," European Economic Review, Elsevier, vol. 32(6), pages 1375-1383, July.
    44. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
    45. Hans Gersbach & Hans Haller, 2001. "Collective Decisions and Competitive Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 347-368.
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    Cited by:

    1. Gersbach, Hans & Haller, Hans, 2019. "Households, markets and public choice," Mathematical Social Sciences, Elsevier, vol. 100(C), pages 16-28.
    2. José Luis Contreras & Juan Pablo Torres-Martínez, 2021. "The roommate problem with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 149-165, March.

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    More about this item

    Keywords

    endogenous household formation; consumption externalities; stable matching equilibrium; efficiency;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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