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Edgeworth box economies with multiple equilibria

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Abstract

We derive sufficient conditions for the existence of multiple equilibria in two-good, two-agent pure exchange economies with heterogeneous but symmetric preferences with identical Bernoulli utilities. When preferences are non-homothetic (for example, quadratic, quasi-linear, or HARA), multiple equilibria are possible even with identical endowments.

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Notes

  1. Mantel (1976) shows the SMD result for homothetic preferences, and Kirman and Koch (1986) do so with identical preferences and collinear endowments. See Shafer and Sonnenschein (1982) for a survey of this literature.

  2. See Hens and Loeffler (1995), Kehoe (1998), and Geanakoplos and Walsh (2016) for recent treatments.

  3. See also the Engel curve arguments of Freixas and Mas-Colell (1987) and Mas-Colell (1991).

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Correspondence to Kieran James Walsh.

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Toda, A.A., Walsh, K.J. Edgeworth box economies with multiple equilibria. Econ Theory Bull 5, 65–80 (2017). https://doi.org/10.1007/s40505-016-0102-3

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  • DOI: https://doi.org/10.1007/s40505-016-0102-3

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