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

Simon Anderson and André de Palma (adepalmajl@gmail.com)

No 14168, CEPR Discussion Papers from C.E.P.R. Discussion Papers

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.

Keywords: Ces; Monopolistic competition; Quality; Closed power-family distributions; Pareto; Power; Generalised (log-)normal; Logit; Mark-ups; Box-cox (search for similar items in EconPapers)
JEL-codes: F12 L13 (search for similar items in EconPapers)
Date: 2019-12
New Economics Papers: this item is included in nep-dcm, nep-eff and nep-ore
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Journal Article: Decoupling the CES Distribution Circle with Quality and Beyond: Equilibrium Distributions and the CES-Logit Nexus (2020) Downloads
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