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The Recursive Core

Author

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  • Becker, Robert A
  • Chakrabarti, Subir K

Abstract

An allocation in an infinite horizon capital accumulation model is a recursive core allocation provided no coalition can improve upon its consumption stream at any time given its accumulation of assets up to that period. The authors show for every allocation of consumption in the initial core, one can find a distribution of capital stocks among the agents where no coalition of agents will break the initial core contract at any date. The recursive core links the distribution of capital, the problem of trust in the sense of D. Gale, and time consistent intertemporal contracts. Copyright 1995 by The Econometric Society.

Suggested Citation

  • Becker, Robert A & Chakrabarti, Subir K, 1995. "The Recursive Core," Econometrica, Econometric Society, vol. 63(2), pages 401-423, March.
    • Handle: RePEc:ecm:emetrp:v:63:y:1995:i:2:p:401-23
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    Cited by:

    1. Chander, Parkash & Wooders, Myrna, 2020. "Subgame-perfect cooperation in an extensive game," Journal of Economic Theory, Elsevier, vol. 187(C).
    2. P. Herings & A. Predtetchinski & A. Perea, 2006. "The Weak Sequential Core for Two-Period Economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 55-65, April.
    3. Gonzalez, Stéphane & Rostom, Fatma Zahra, 2022. "Sharing the global outcomes of finite natural resource exploitation: A dynamic coalitional stability perspective," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 1-10.
    4. Laszlo A Koczy, 2000. "The Core of a Partition Function Game," Working Papers of Department of Economics, Leuven ces0025, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    5. Damiano, Ettore & Lam, Ricky, 2005. "Stability in dynamic matching markets," Games and Economic Behavior, Elsevier, vol. 52(1), pages 34-53, July.
    6. Predtetchinski, Arkadi, 2007. "The strong sequential core for stationary cooperative games," Games and Economic Behavior, Elsevier, vol. 61(1), pages 50-66, October.
    7. Stéphane Gonzalez & Fatma Rostom, 2019. "Sharing the Global Benefits of Finite Natural Resource Exploitation: A Dynamic Coalitional Stability Perspective," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02430751, HAL.
    8. Habis, Helga & Herings, P. Jean-Jacques, 2011. "Core concepts for incomplete market economies," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 595-609.
    9. Bernardo Guimaraes & Kevin D. Sheedy, 2017. "Guarding the Guardians," Economic Journal, Royal Economic Society, vol. 127(606), pages 2441-2477, November.
    10. Habis, H. & Herings, P.J.J., 2009. "Cooperation under incomplete contracting," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    11. Hellman, Ziv, 2008. "Bargaining Set Solution Concepts in Dynamic Cooperative Games," MPRA Paper 8798, University Library of Munich, Germany.
    12. Josep Maria Izquierdo Aznar & Francesc Llerena & Carlos Rafels Pallarola, 2004. "Sequential decisions in allocation problems," Working Papers in Economics 116, Universitat de Barcelona. Espai de Recerca en Economia.
    13. Edward C. Prescott & José-Víctor Ríos-Rull, 2000. "On the equilibrium concept for overlapping generations organizations," Staff Report 282, Federal Reserve Bank of Minneapolis.
    14. Bernardo Guimaraes & Kevin D. Sheedy, 2017. "Guarding the Guardians," Economic Journal, Royal Economic Society, vol. 127(606), pages 2441-2477, November.
    15. Kotowski, Maciej, 2019. "A Perfectly Robust Approach to Multiperiod Matching Problems," Working Paper Series rwp19-016, Harvard University, John F. Kennedy School of Government.
    16. Ehud Lehrer & Marco Scarsini, 2013. "On the Core of Dynamic Cooperative Games," Dynamic Games and Applications, Springer, vol. 3(3), pages 359-373, September.
    17. Chander, Parkash, 2017. "Subgame-perfect cooperative agreements in a dynamic game of climate change," Journal of Environmental Economics and Management, Elsevier, vol. 84(C), pages 173-188.
    18. Parkash Chander & Myrna Wooders, 2016. "The Subgame Perfect Core," Vanderbilt University Department of Economics Working Papers 16-00006, Vanderbilt University Department of Economics.

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