Handbook of Game Theory and Industrial Organization, Volume I
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Handbook of Game Theory and Industrial Organization, Volume I

Theory

Edited by Luis C. Corchón and Marco A. Marini

The first volume of this wide-ranging Handbook contains original contributions by world-class specialists. It provides up-to-date surveys of the main game-theoretic tools commonly used to model industrial organization topics. The Handbook covers numerous subjects in detail including, among others, the tools of lattice programming, supermodular and aggregative games, monopolistic competition, horizontal and vertically differentiated good models, dynamic and Stackelberg games, entry games, evolutionary games with adaptive players, asymmetric information, moral hazard, learning and information sharing models.
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Chapter 3: On the Cournot and Bertrand oligopolies and the theory of supermodular games

Rabah Amir

Abstract

This chapter provides a general survey of three strands of literature in oligoply theory. The first deals with the existence of Cournot equilibrium in the general asymmetric case, via the property of strategic substitutes. The second is concerned with the effects of exogenous entry by identical firms on market performance for a Cournot industry. The third strand deals with Bertrand competition with differentiated products as a game of strategic complements. These strands of literature share one important unifying common feature: they were achieved via the application of lattice-theoretic methods. The presentation style of this survey is precise but at the same time somewhat informal in that concepts and ideas are given precedence over formal proofs. In addition, illustrative examples are included whenever possible.

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