### Abstract

We recast Diamond's search equilibrium model into that with a finite number of agents. The state of the model is described by a jump-Markov process, the transition rates of which are functions of the reservation cost, which are endogenously determined by value maximization by rational agents. The existence of stochastic fluctuations causes the fraction of the employed to move from one basin of attraction to the other with positive probabilities when the dynamics have multiple equilibria. Stochastic asymmetric cycles that arise are quite different from the cycles of the set of Diamond-Fudenberg nonlinear deterministic differential equations. By taking the number of agents to infinity, we get a limiting probability distribution over the stationary state equilibria. This provides a natural basis for equilibrium selection in models with multiple equilibria, which is new in the economic literature.

Original language | English |
---|---|

Pages (from-to) | 487-5050 |

Number of pages | 4564 |

Journal | Macroeconomic Dynamics |

Volume | 4 |

Issue number | 4 |

Publication status | Published - 2000 |

Externally published | Yes |

### Fingerprint

### Keywords

- Asymmetric cycles
- Equilibrium selection
- Fokker-Planck equations
- Jump-Marakov processes
- Search equilibrium

### ASJC Scopus subject areas

- Economics and Econometrics

### Cite this

*Macroeconomic Dynamics*,

*4*(4), 487-5050.

**A new look at the Diamond search model : Stochastic cycles and equilibrium selection in search equilibrium.** / Aoki, Masanao; Shirai, Yoshimasa.

Research output: Contribution to journal › Article

*Macroeconomic Dynamics*, vol. 4, no. 4, pp. 487-5050.

}

TY - JOUR

T1 - A new look at the Diamond search model

T2 - Stochastic cycles and equilibrium selection in search equilibrium

AU - Aoki, Masanao

AU - Shirai, Yoshimasa

PY - 2000

Y1 - 2000

N2 - We recast Diamond's search equilibrium model into that with a finite number of agents. The state of the model is described by a jump-Markov process, the transition rates of which are functions of the reservation cost, which are endogenously determined by value maximization by rational agents. The existence of stochastic fluctuations causes the fraction of the employed to move from one basin of attraction to the other with positive probabilities when the dynamics have multiple equilibria. Stochastic asymmetric cycles that arise are quite different from the cycles of the set of Diamond-Fudenberg nonlinear deterministic differential equations. By taking the number of agents to infinity, we get a limiting probability distribution over the stationary state equilibria. This provides a natural basis for equilibrium selection in models with multiple equilibria, which is new in the economic literature.

AB - We recast Diamond's search equilibrium model into that with a finite number of agents. The state of the model is described by a jump-Markov process, the transition rates of which are functions of the reservation cost, which are endogenously determined by value maximization by rational agents. The existence of stochastic fluctuations causes the fraction of the employed to move from one basin of attraction to the other with positive probabilities when the dynamics have multiple equilibria. Stochastic asymmetric cycles that arise are quite different from the cycles of the set of Diamond-Fudenberg nonlinear deterministic differential equations. By taking the number of agents to infinity, we get a limiting probability distribution over the stationary state equilibria. This provides a natural basis for equilibrium selection in models with multiple equilibria, which is new in the economic literature.

KW - Asymmetric cycles

KW - Equilibrium selection

KW - Fokker-Planck equations

KW - Jump-Marakov processes

KW - Search equilibrium

UR - http://www.scopus.com/inward/record.url?scp=0034554005&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034554005&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034554005

VL - 4

SP - 487

EP - 5050

JO - Macroeconomic Dynamics

JF - Macroeconomic Dynamics

SN - 1365-1005

IS - 4

ER -