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Decoupling the CES distribution circle with quality and beyond: equilibrium distributions and the CES-Logit nexus

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  • Anderson, Simon
  • de Palma, André

Abstract

We show for CES demands with heterogeneous productivities that profit, revenue, and output distributions lie in the same closed power-family as the productivity distribution (e.g., the "Pareto circle"). The price distribution lies in the inverse power-family. Equilib- rium distribution shapes are linked by linear relations between their density elasticities. Introducing product quality decouples the CES circle, and reconciles Pareto price and Pareto sales revenue distributions. We use discrete choice underpinnings to find variable mark-ups for a more flexible demand formulation bridging CES to Logit and beyond. For logit demand, exponential (resp. normal) quality-cost distributions generate Pareto (log-normal) economic size distributions.

Suggested Citation

  • Anderson, Simon & de Palma, André, 2019. "Decoupling the CES distribution circle with quality and beyond: equilibrium distributions and the CES-Logit nexus," CEPR Discussion Papers 14168, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:14168
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    3. Picard, P.M. & Tampieri, A., 2024. "Quality and trade with many countries and industries," International Economics, Elsevier, vol. 180(C).
    4. Anderson, Simon P. & de Palma, André, 2024. "Economic distributions, primitive distributions, and demand recovery in monopolistic competition," Journal of Economic Theory, Elsevier, vol. 217(C).

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    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation

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