### Abstract

In recent years the Walrasian general equilibrium model has become an important tool for applied work in such fields as development economics, international trade, macroeconomics, and public finance. This chapter discusses that economic equilibria are usually solutions to fixed point problems rather than solutions to convex optimization problems. This leads to two difficulties that are closely related: first, equilibria may be difficult to compute; second, a model economy may have more than one equilibria. The chapter explores these two issues for a number of stylized economies and analyzes economies with infinite numbers of goods, economies in which time and uncertainty play important roles. Studying economies of this sort is interesting not only for its own sake but also because of the insights it provides into the properties of economies with large but finite numbers of goods. Finally, the chapter extends an analysis to economies that include distortionary taxes and externalities.

Original language | English (US) |
---|---|

Pages (from-to) | 2049-2144 |

Number of pages | 96 |

Journal | Handbook of Mathematical Economics |

Volume | 4 |

Issue number | C |

DOIs | |

State | Published - Jan 1 1991 |

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### Cite this

**Chapter 38 Computation and multiplicity of equilibria.** / Kehoe, Timothy J.

Research output: Contribution to journal › Review article

*Handbook of Mathematical Economics*, vol. 4, no. C, pp. 2049-2144. https://doi.org/10.1016/S1573-4382(05)80013-X

}

TY - JOUR

T1 - Chapter 38 Computation and multiplicity of equilibria

AU - Kehoe, Timothy J

PY - 1991/1/1

Y1 - 1991/1/1

N2 - In recent years the Walrasian general equilibrium model has become an important tool for applied work in such fields as development economics, international trade, macroeconomics, and public finance. This chapter discusses that economic equilibria are usually solutions to fixed point problems rather than solutions to convex optimization problems. This leads to two difficulties that are closely related: first, equilibria may be difficult to compute; second, a model economy may have more than one equilibria. The chapter explores these two issues for a number of stylized economies and analyzes economies with infinite numbers of goods, economies in which time and uncertainty play important roles. Studying economies of this sort is interesting not only for its own sake but also because of the insights it provides into the properties of economies with large but finite numbers of goods. Finally, the chapter extends an analysis to economies that include distortionary taxes and externalities.

AB - In recent years the Walrasian general equilibrium model has become an important tool for applied work in such fields as development economics, international trade, macroeconomics, and public finance. This chapter discusses that economic equilibria are usually solutions to fixed point problems rather than solutions to convex optimization problems. This leads to two difficulties that are closely related: first, equilibria may be difficult to compute; second, a model economy may have more than one equilibria. The chapter explores these two issues for a number of stylized economies and analyzes economies with infinite numbers of goods, economies in which time and uncertainty play important roles. Studying economies of this sort is interesting not only for its own sake but also because of the insights it provides into the properties of economies with large but finite numbers of goods. Finally, the chapter extends an analysis to economies that include distortionary taxes and externalities.

UR - http://www.scopus.com/inward/record.url?scp=77957226336&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957226336&partnerID=8YFLogxK

U2 - 10.1016/S1573-4382(05)80013-X

DO - 10.1016/S1573-4382(05)80013-X

M3 - Review article

AN - SCOPUS:77957226336

VL - 4

SP - 2049

EP - 2144

JO - Handbook of Mathematical Economics

JF - Handbook of Mathematical Economics

SN - 1573-4382

IS - C

ER -