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Bertrand and Cournot in the unidirectional Hotelling model

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  • stefano Colombo

    () (DISCE, Università Cattolica)

Abstract

The unidirectional Hotelling model where consumers can buy only from firms located on their right (left) is extended to allow for elastic demand functions. A Bertrand-type model and a Cournot-type model are considered. If firms choose location and then set prices, agglomeration never arises; instead, if firms choose location and then set quantities, agglomeration arises at one endpoint of the segment when transportation costs are low enough. Equilibrium distance between firms is lower in Cournot than Bertrand under the whole parameters’ set. We also study the impact of firms’ location on perfect collusion sustainability. We show that when consumers can buy only from firms located on their right (left), the incentive to deviate of each firm decreases the more the firm is located to the right (left) and the more the rival is located to the left (right).

Suggested Citation

  • stefano Colombo, 2010. "Bertrand and Cournot in the unidirectional Hotelling model," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0095, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
  • Handle: RePEc:ctc:serie3:ief0095
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    File URL: http://www.unicatt.it/Istituti/EconomiaFinanza/Quaderni/ief0095.pdf
    File Function: First version, 2010
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    Cited by:

    1. Sandro Brusco & Luca Colombo & Umberto Galmarini, 2010. "Local Governments Tax Autonomy, Lobbying, and Welfare," Department of Economics Working Papers 10-01, Stony Brook University, Department of Economics.
    2. Giuseppe Mastromatteo, 2011. "H.P. Minsky And Policies To Countervail Crises," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0102, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    3. Giuseppe Mastromatteo, 2011. "The Debate on the Crisis: Recent Reappraisals of the Concept of Functional Finance," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0105, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).

    More about this item

    Keywords

    Unidirectional Hotelling model; Location equilibrium; Collusion; Bertrand; Cournot.;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices

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