1989EconometricaRequires access

Supply Function Equilibria in Oligopoly under Uncertainty

Paul Klemperer, Margaret Meyer

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Abstract

The authors model an oligopoly facing uncertain demand where each firm chooses as its strategy a "supply function" relating its quantity to its price. A supply function adapts better to an uncertain environment than either a fixed price or a fixed quantity; it could be committed to through the choice of organizational structure and employee decision rules. The authors give conditions for existence and for uniqueness of a Nash equilibrium in supply functions under uncertainty. They compare the equilibrium with the Cournot and Bertrand equilibria as they vary the demand and cost curves, the number of firms, and the form of uncertainty. Copyright 1989 by The Econometric Society.

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What this paper is about

The authors model an oligopoly facing uncertain demand where each firm chooses as its strategy a "supply function" relating its quantity to its price. A supply function adapts better to an uncertain environment than either a fixed price or a fixed quantity; it could be committed to through the choice of organizational structure and employee decision rules. The authors give conditions for existence and for uniqueness of a Nash equilibrium in supply functions under uncertainty. They compare the equilibrium with the Cournot and Bertrand equilibria as they vary the demand and cost curves, the number of firms, and the form of uncertainty. Copyright 1989 by The Econometric Society.

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Available abstract

The authors model an oligopoly facing uncertain demand where each firm chooses as its strategy a "supply function" relating its quantity to its price. A supply function adapts better to an uncertain environment than either a fixed price or a fixed quantity; it could be committed to through the choice of organizational structure and employee decision rules. The authors give conditions for existence and for uniqueness of a Nash equilibrium in supply functions under uncertainty. They compare the equilibrium with the Cournot and Bertrand equilibria as they vary the demand and cost curves, the number of firms, and the form of uncertainty. Copyright 1989 by The Econometric Society.

Key concepts: Oligopoly, Economics, Function (biology), Supply, Mathematical economics, Microeconomics, Mathematics, Cournot competition

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