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Journal ArticleDOI

Bertrand-edgeworth oligopoly in large markets

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TLDR
In this paper, the relation between perfectly competitive and monopolistically competitive equilibria is analyzed for a single market in which capacity constrained firms choose prices as strategies. And the authors provide a justification for perfect competition that is based on an explicit account of price formation.
Abstract
The relation between perfectly competitive and monopolistically competitive equilibria is analysed for a Bertrand-Edgeworth model of a single market in which capacity constrained firms choose prices as strategies. The market always has a Nash equilibrium in pure or mixed strategies. As the number of firms increases, the corresponding equilibria converge in distribution to a perfectly competitive price. This result provides a justification for perfect competition that is based on an explicit account of price formation. However, monopoly prices persist with a positive but vanishing probability. Regularity or well defined inverse demand functions are not required.

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Citations
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Competition, Adverse Selection, and Information Dispersion in the Banking Industry

TL;DR: In this paper, the authors draw implications for whether financial deregulation is likely to increase borrowers' surplus and what patterns of entry might be observed, and draw a conclusion that entry should be easier in markets with high borrower turnover or where entrants have specific expertise in evaluating credit risks.
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Equilibrium price dispersion under demand uncertainty: the roles of costly capacity and market structure

TL;DR: In this paper, the authors show that the optimal price strategy of a monopolist and the unique pure-strategy Nash equilibria of oligopolists both exhibit intra-firm price dispersion.
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Markov perfect industry dynamics with many firms

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Price competition in a capacity-constrained duopoly

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Competing Premarital Investments

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References
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Book

Convergence of Probability Measures

TL;DR: Weak Convergence in Metric Spaces as discussed by the authors is one of the most common modes of convergence in metric spaces, and it can be seen as a form of weak convergence in metric space.
Book

Probability and Measure

TL;DR: In this paper, the convergence of distributions is considered in the context of conditional probability, i.e., random variables and expected values, and the probability of a given distribution converging to a certain value.
Posted Content

A Model of Sales.

Book ChapterDOI

Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes

TL;DR: In this article, the authors consider a two-stage oligopoly game where, first, there is simultaneous production, and second, after production levels are made public, there was price competition.
Journal ArticleDOI

The Existence of Equilibrium in Discontinuous Economic Games, I: Theory

TL;DR: In this article, the existence of Nash equilibrium in games where agents' payoff functions are discontinuous is investigated, and it is shown that the payoff functions in mildly modified versions of these constructs exhibit two weaker forms of continuity which, together with the requirement of quasi-concavity, suffice for the presence of an equilibrium.
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