Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous...

It is well known that delegating the play of a game to an agent via incentive contracts may serve as a commitment device and hence provide a strategic advantage. Previous literature has shown that any Nash equilibrium outcome of an extensive-form principals-only game can be supported as a...

We identify a class of noncooperative games in continuous strategies which are best-response potential games. We identify the conditions for the existence of a best-response potential function and characterise its construction, describing then the key properties of the equilibrium. The...

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...

I propose a general power index in games. The power of an agent over an outcome is understood as the equilibrium effect on the outcome of variations in the agent’s preferences. I show that the new index, ∆, has the following properties: (i) classic measures of freedom of choice are a special...

In this paper we look at a new way to combine both quantity precommitment and price competition in a dynamic games framework. In each period players choose to invest in production capacities for the next period and also engage in a price competition. Production is free up to capacity and has...

This study analyzes one-leader and multiple-follower Stackelberg games with demand uncertainty. We demonstrate that the weight on public information regarding a follower's estimation of demand uncertainty determines the strategic relationship between the leader and each follower. When the...

I formalise a rather stylised insurance market with adverse selection as a standard duopoly. I formally specify demand functions and profits and I prove that a Nash equilibrium in pure strategies exists if and only if the well-known Rothschild-Stiglitz allocation is efficient

We consider contestants who must choose exactly one contest, out of several, to participate in. We show that when the contest technology is of a certain type, or when the number of contestants is large, a self-allocation equilibrium, i.e., one where no contestant would wish to change his choice...

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...