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Equilibrium Pricing under Concave Advertising Costs

  • Klaus Kultti und Teemu Pekkarinen EMAIL logo
Veröffentlicht/Copyright: 23. Februar 2022

Abstract

We study Butters’s (1977. “Equilibrium Distributions of Sales and Advertising Prices.” The Review of Economic Studies 44 (3): 465–91) model under concave advertising costs, and determine a class of cost functions such that each seller sends the same finite number of ads in equilibrium. Then we consider the limit economy where the number of buyers and sellers grow indefinitely, and show that the equilibrium of the finite economy does not converge to an equilibrium in the limit economy.

JEL Classification: D41; D47

Corresponding author: Teemu Pekkarinen, Helsinki Graduate School of Economics, University of Helsinki, Helsinki, Finland, E-mail:

References

Butters, G. R. 1977. “Equilibrium Distributions of Sales and Advertising Prices.” The Review of Economic Studies 44 (3): 465–91. https://doi.org/10.2307/2296902.Suche in Google Scholar

Glicksberg, I. L. 1952. “A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points.” Proceedings of the American Mathematical Society 3 (1): 170–4. https://doi.org/10.2307/2032478.Suche in Google Scholar

Kultti, K., and T. Pekkarinen. 2021. “Equilibrium Price and Advertisement Distributions.” Journal of Mathematical Economics 97: 102535. https://doi.org/10.1016/j.jmateco.2021.102535.Suche in Google Scholar

Received: 2021-12-21
Revised: 2022-01-03
Accepted: 2022-01-09
Published Online: 2022-02-23

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 18.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/bejte-2021-0169/html
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