It is shown that the equilibrium notion of an evolutionary stable strategy (ESS) does have predictive power for standard models of Bertrand competition. This is in contrast to a recent claim by Qin and Stuart (1997). The claim is based on the observation that the solution concept ESS behaves...

In this paper, we fully characterize the Nash Equilibrium in the winner-take-all Bertrand Game, showing that a mixed strategy profile is a Nash Equilibrium, if and only if it is a zero operating profit one, and there exist at least two players whose bids are all unprofitable. Compared with...

It is a very well-known result that in terms of evolutionary stability the long-run outcome of a Cournot oligopoly market with finitely many firms approaches the perfectly competitive Walrasian market outcome (Vega-Redondo, 1997). However, in this paper we show that an asymmetric structure in...

This paper applies the framework of endogenous timing in games to mixed quantity duopoly, wherein a private domestic or foreign firm competes with a public, welfare maximizing firm. We show that simultaneous play never emerges as a subgame-perfect equilibrium of the extended game, in sharp...

This paper is part I of a two-part paper. It proposes a two-stage game to analyze imperfect competition of producers in zonal power markets with a day-ahead and a real-time market. We consider strategic producers in both markets. They need to take both markets into account when deciding what to...

This article presents a new approach to analyze the equilibrium set of symmetric, differentiable games by separating multiple symmetric equilibria and asymmetric equilibria. This separation allows the investigation of, for example, how various parameter constellations affect the scope for...

The model considers a seller operating under the threat of an arbitrarily large number of unknown potential entrants and facing a strategic buyer. It is shown that the seller's Nash best response function slopes downward in price-output space, while that of the buyer slopes upward. The Nash...

Cournot and Bertrand oligopoly equilibria are usually explained by strategic interactions, e.g., the best-replies. However, the best-replies often do not converge, require unrealistic information, suffer inconsistency, and exclude small firms. Alternatively, every firm may choose its output or...

In this paper we show that a homogeneous-product market with multiple Bertrand equilibria becomes a market with a single Bertrand equilibrium when we introduce a small degree of product differentiation. When differentiation tends to zero, that Bertrand equilibrium converges to the unique...

This paper reconciles the Cournot and Bertrand Models of oligopolistic competition, highlighting its weaknesses and giving an opinion thereafter. The pertinent question in this paper is why Cournot (1838) ignored the price and Bertrand (1883) ignored the quantity? From the review, the main...