We analyze how sharing rules affect Nash equilibria in Bertrand games, where the sharing of profits at ties is a decisive assumption. Necessary conditions for either positive or zero equilibrium profits are derived. Zero profit equilibria are shown to exist under weak conditions if the sharing...

We examine a model of price competition with strictly convex costs where the firms simultaneously decide on both price and quantity, are free to supply less than the quantity demanded, and there is discrete pricing. If firms are symmetric then, for a large class of residual demand functions,...

This Paper characterises the unique Markov equilibrium in the sequential move, finite horizon pricing duopoly with discounting. Simple, short cycles repeat until the last two periods. For discount factors above 0.75488, there are three-period reaction function cycles and below 0.75488,...

We present a two-firm model of predation under complete information, based on different discount factors, and integrate it with a model of collusion. Competition, collusion and predation are seen as alternative strategies. The basic conclusions are that t

This paper analyzes price competition between market makers who set costly capacity constraints before they intermediate between producers and consumers. The key finding is that the unique perfect equilibrium outcome is Cournot if capacity is costly and rationing efficient. This result is...

I present a model of competition between two market makers who are horizontally differentiated. I first show that absent a search market for buyers and sellers, there is a continuum of symmetric equilibria. These equilibria are payoff equivalent for market makers, but affect buyers' and sellers'...

What is the optimum mix of trade policy instruments? Usually governments choose among such instruments as quotas, tariffs, explicit or implicit subsidies. The goal of the project is to consider the possibility of a simultaneous use by the government of quotas (and corresponding license fees) and...

We show that games of strategic substitutes (or complements) with aggregation are "pseudo-potential" games, and therefore possess Nash equilibria in pure strategies. Our notion of aggregation is quite general and enables us to take a unified view of several disparate models.

The choice between quantity and price in order to stabilize collusion is modeled here. It is shown that this relocates the prisoners’ dilemma backwards, from the market stage to the stage where the market variable is chosen in order to sustain collusion, and where discount rates appear as the...

This paper examines strategic information revelation in a Cournot duopoly with incomplete information about firm~1\'s cost and information precision. Firm~2 relies on certifiable and ex post submissions of firm~1, without necessarily knowing whether firm~1 knows its cost or not. The sequential...