IDEAS home Printed from https://ideas.repec.org/p/bdm/wpaper/2023-19.html
   My bibliography  Save this paper

Designing the Menu of Licenses for Foster Care

Author

Listed:
  • Altinok Ahmet
  • Mac Donald Diana E.

Abstract

In the United States, prospective foster parents must become licensed by a child welfare agency before a foster child can be placed in their care. This paper contributes by developing a theoretical matching model to study the optimal menu of licenses designed to screen foster parents. We construct a two-sided matching model with heterogeneous agents, adverse selection, search frictions, and a designer who coordinates match formation through a menu of contracts. We focus on incentive compatible contracts, examine optimal allocations and transfers, and analyze equilibrium sorting patterns. There are three main results: (i) optimal allocation calls for a segregation of the market, (ii) a simple transfer schedule does the job, (iii) complementarities do not ensure that Positive Assortative Matching (PAM) will arise in equilibrium, thus we provide an additional condition that guarantees it. Our results suggests that the menu of licenses used in practice, exhibits some of the properties of the optimal solution. However, the menu might not be reaching its screening objective.

Suggested Citation

  • Altinok Ahmet & Mac Donald Diana E., 2023. "Designing the Menu of Licenses for Foster Care," Working Papers 2023-19, Banco de México.
  • Handle: RePEc:bdm:wpaper:2023-19
    as

    Download full text from publisher

    File URL: https://www.banxico.org.mx/publications-and-press/banco-de-mexico-working-papers/%7B0057BD18-E934-5318-1EFD-4110FB8F5B3B%7D.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Vincent W. Slaugh & Mustafa Akan & Onur Kesten & M. Utku Ünver, 2016. "The Pennsylvania Adoption Exchange Improves Its Matching Process," Interfaces, INFORMS, vol. 46(2), pages 133-153, April.
    2. Mech, Edmund V. & Ludy-Dobson, Christine & Hulseman, Frances Spann, 1994. "Life-skills knowledge: A survey of foster adolescents in three placement settings," Children and Youth Services Review, Elsevier, vol. 16(3-4), pages 181-200.
    3. Ayca Kaya & Galina Vereshchagina, 2014. "Partnerships versus Corporations: Moral Hazard, Sorting, and Ownership Structure," American Economic Review, American Economic Association, vol. 104(1), pages 291-307, January.
    4. Cox, Mary Ellen & Cherry, Donna J. & Orme, John G., 2011. "Measuring the willingness to foster children with emotional and behavioral problems," Children and Youth Services Review, Elsevier, vol. 33(1), pages 59-65, January.
    5. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    6. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    7. Van Tassel, Eric, 1999. "Group lending under asymmetric information," Journal of Development Economics, Elsevier, vol. 60(1), pages 3-25, October.
    8. Daniel A. Ackerberg & Maristella Botticini, 2002. "Endogenous Matching and the Empirical Determinants of Contract Form," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 564-591, June.
    9. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
    10. Berrick, Jill Duerr & Courtney, Mark & Barth, Richard P., 1993. "Specialized foster care and group home care: Similarities and differences in the characteristics of children in care," Children and Youth Services Review, Elsevier, vol. 15(6), pages 453-473.
    11. Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December.
    12. Franco, April Mitchell & Mitchell, Matthew & Vereshchagina, Galina, 2011. "Incentives and the structure of teams," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2307-2332.
    13. Ryan, Joseph P. & Marshall, Jane Marie & Herz, Denise & Hernandez, Pedro M., 2008. "Juvenile delinquency in child welfare: Investigating group home effects," Children and Youth Services Review, Elsevier, vol. 30(9), pages 1088-1099, September.
    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. Ashwin Kambhampati & Carlos Segura-Rodriguez, 2020. "The Optimal Assortativity of Teams Inside the Firm," PIER Working Paper Archive 20-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    2. Hongfei Sun & Chenggang Zhou & Allen Head, 2016. "Default, Mortgage Standards, and Housing Liquidity," 2016 Meeting Papers 625, Society for Economic Dynamics.
    3. Ayça Kaya & Galina Vereshchagina, 2015. "Moral hazard and sorting in a market for partnerships," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 73-121, September.
    4. Ashwin Kambhampati & Carlos Segura‐Rodriguez, 2022. "The optimal assortativity of teams inside the firm," RAND Journal of Economics, RAND Corporation, vol. 53(3), pages 484-515, September.
    5. Lam, Wing Tung, 2020. "Inefficient sorting under output sharing," Journal of Economic Theory, Elsevier, vol. 187(C).
    6. Xu, Yujing & Yang, Huanxing, 2019. "Targeted search with horizontal differentiation in the marriage market," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 31-62.
    7. Friedrich Poeschel, 2008. "Assortative matching through signals," Working Papers halshs-00585986, HAL.
    8. Poeschel, Friedrich, 2012. "Assortative matching through signals," IAB-Discussion Paper 201215, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    9. Cheremukhin, Anton & Restrepo-Echavarria, Paulina & Tutino, Antonella, 2020. "Targeted search in matching markets," Journal of Economic Theory, Elsevier, vol. 185(C).
    10. Cristian Bartolucci & Ignacio Monzon, 2014. "Frictions Lead to Sorting: a Partnership Model with On-the-Match Search," Carlo Alberto Notebooks 385, Collegio Carlo Alberto.
    11. Moscarini, Giuseppe & Wright, Randall, 2010. "Introduction to Search Theory and Applications," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1319-1324, July.
    12. Head, Allen & Sun, Hongfei & Zhou, Chenggang, 2023. "Indebted sellers, liquidity and mortgage standards," European Economic Review, Elsevier, vol. 151(C).
    13. Nicolas Bonneton & Christopher Sandmann, 2023. "Non-Stationary Search and Assortative Matching," CRC TR 224 Discussion Paper Series crctr224_2023_465, University of Bonn and University of Mannheim, Germany.
    14. Elliott, Matt & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," LSE Research Online Documents on Economics 87219, London School of Economics and Political Science, LSE Library.
    15. Jia, Hao, 2019. "The even split rule in positive assortative matching," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 57-61.
    16. Poeschel, Friedrich, 2013. "Assortative matching through signals," SFB 649 Discussion Papers 2013-044, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    17. Vereshchagina, Galina, 2019. "The role of individual financial contributions in the formation of entrepreneurial teams," European Economic Review, Elsevier, vol. 113(C), pages 173-193.
    18. Carlos Canon, 2011. "Matching & Information Provision by One-Sided and Two-Sided Platforms," Working Papers 11-20, NET Institute, revised Oct 2011.
    19. Alessandro Pavan & Renato Gomes, 2011. "Many-to-Many Matching Design and Price Discrimination," 2011 Meeting Papers 1212, Society for Economic Dynamics.
    20. Cristian Bartolucci & Francesco Devicienti, 2012. "Better Workers Move to Better Firms: A Simple Test to Identify Sorting," Carlo Alberto Notebooks 259, Collegio Carlo Alberto.

    More about this item

    Keywords

    Adverse Selection; Matching; Sorting; Search; Foster Care;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:bdm:wpaper:2023-19. 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: Subgerencia de desarrollo de sistemas (email available below). General contact details of provider: https://edirc.repec.org/data/bangvmx.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.