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On aggregation and representative agent equilibria

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  • Jarrow, Robert
  • Larsson, Martin

Abstract

Aggregation is an often used tool in finance and macroeconomics, whereby economic equilibrium in a heterogeneous trader economy is characterized by means of the first order optimality conditions of a representative agent. In this paper we study the conditions under which a representative agent exists, and investigate the implications for the existence of equilibrium. The approach applies to markets which are incomplete, including markets with trading constraints, heterogeneous beliefs, and differential information.

Suggested Citation

  • Jarrow, Robert & Larsson, Martin, 2018. "On aggregation and representative agent equilibria," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 119-127.
    • Handle: RePEc:eee:mateco:v:74:y:2018:i:c:p:119-127
    DOI: 10.1016/j.jmateco.2017.11.006
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    Cited by:

    1. Masaaki Fujii & Akihiko Takahashi, 2021. "Equilibrium Price Formation with a Major Player and its Mean Field Limit," CARF F-Series CARF-F-509, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Masaaki Fujii & Akihiko Takahashi, 2020. "A Finite Agent Equilibrium in an Incomplete Market and its Strong Convergence to the Mean-Field Limit," CARF F-Series CARF-F-495, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Masaaki Fujii & Akihiko Takahashi, 2020. "A Finite Agent Equilibrium in an Incomplete Market and its Strong Convergence to the Mean-Field Limit," CIRJE F-Series CIRJE-F-1156, CIRJE, Faculty of Economics, University of Tokyo.
    4. Katsushi Nakajima, 2022. "Equilibrium pricing of commodity spot and forward under incomplete markets with implications on convenience yield," Annals of Finance, Springer, vol. 18(1), pages 35-80, March.
    5. Robert Jarrow & Siguang Li, 2021. "Concavity, stochastic utility, and risk aversion," Finance and Stochastics, Springer, vol. 25(2), pages 311-330, April.
    6. Masaaki Fujii & Akihiko Takahashi, 2021. "``Equilibrium Price Formation with a Major Player and its Mean Field Limit''," CIRJE F-Series CIRJE-F-1162, CIRJE, Faculty of Economics, University of Tokyo.
    7. Masaaki Fujii & Akihiko Takahashi, 2021. "Equilibrium Price Formation with a Major Player and its Mean Field Limit," Papers 2102.10756, arXiv.org, revised Feb 2022.
    8. Masaaki Fujii & Masashi Sekine, 2023. "Mean-field equilibrium price formation with exponential utility," CARF F-Series CARF-F-594, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Jan 2025.
    9. Masaaki Fujii & Akihiko Takahashi, 2020. "Strong Convergence to the Mean-Field Limit of A Finite Agent Equilibrium," Papers 2010.09186, arXiv.org, revised Dec 2021.

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