Perfectly competitive markets as the limits of Cournot markets.

*(English)*Zbl 0553.90023A perfectly competitive, partial equilibrium market for a single homogeneous good with a (bounded) continuum of infinitesimal firms is considered. Cost functions are essentially unrestricted and are allowed to vary smoothly across firms. A sequence (net) of Cournot markets (each with a finite number of firms) which converge smoothly to the perfectly competitive limit in terms of both the inverse demand functions and the distribution of firm technologies is introduced and it is shown that all markets sufficiently far along the sequence have a Cournot equilibrium and all the Cournot equilibria converge to the perfectly competitive equilibrium of the limit market.

##### MSC:

91B50 | General equilibrium theory |

##### Keywords:

perfectly competitive, partial equilibrium market; single homogeneous good; bounded) continuum of infinitesimal firms; Cournot markets; perfectly competitive limit; Cournot equilibrium; limit market
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##### References:

[1] | \scR. Bamon and J. Fraysse, Existence of Cournot equilibrium in large markets, Econometrica, in press. · Zbl 0573.90014 |

[2] | Dasgupta, P.S; Ushio, Y, On the rate of convergence of oligopoly equilibria in large markets: an example, Econom. lett., 8, 13-17, (1981) |

[3] | Fraysse, J; Moreaux, M, Cournot equilibrium in large markets under increasing returns, Econom. lett., 8, 217-220, (1981) |

[4] | Hart, O, Monopolistic competition in a large economy with differentiated commodities, Rev. econom stud., 46, 1-30, (1979) · Zbl 0413.90014 |

[5] | Mas-Colell, A, Walrasian equilibria as limits of noncooperative equilibria. I. mixed strategies, J. econom. theory, 30, 153-170, (1983) · Zbl 0512.90025 |

[6] | Novshek, W, Cournot equilibrium with free entry, Rev. econom. stud., 47, 473-486, (1980) · Zbl 0433.90007 |

[7] | Novshek, W, On the existence of Cournot equilibrium, Rev. econom. stud., 52, (1985) · Zbl 0547.90011 |

[8] | Novshek, W; Sonnenschein, H, Cournot and Walras equilibrium, J. econom. theory, 19, 223-266, (1978) · Zbl 0399.90012 |

[9] | Novshek, W; Sonnenschein, H, Walrasian equilibria as limits of noncooperative equilibria. II. pure strategies, J. econom. theory, 30, 171-187, (1983) · Zbl 0524.90018 |

[10] | Ushio, Y, Cournot equilibrium with free entry: the case of decreasing average cost functions, Rev. econom. stud., 50, 347-354, (1983) · Zbl 0508.90014 |

[11] | Ushio, Y, On the approximate efficiency of Cournot equilibria in large markets, (1983), mimeo |

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