We study oligopoly price competition between multiproduct firms, firms whose products interact in the profit function. Specifically, we focus on the impact of intra-firm product interactions on the level of equilibrium profits. This impact is divided into two effects: a direct effect and a strategic effect (i.e., through the competitors’ actions). We derive conditions such that the strategic ef...

Bertrand competition is a model of competition used in economics, named after Joseph Louis François Bertrand (1822-1900). Specifically, it is a model of price competition between duopoly firms which results in each charging the price that would be charged under perfect competition, known as marginal cost pricing. The model has the following assumptions: There are at least two firms producing ho...

This paper compares Bertrand and Cournot equilibria in a differentiated duopoly with R6D (research and development) competition. It shows that Cournot competition induces more R6D effort than Bertrand competition. However, the price is lower and output is larger in Bertrand than in Cournot competition. Furthermore, the Bertrand equilibrium is more efficient than the Cournot equilibrium if eithe...

The Bertrand Oligopoly situation with Shubik’s demand functions is modelled as a cooperative TU game. For that purpose two optimization problems are solved to arrive at the description of the worth of any coalition in the so-called Bertrand Oligopoly Game. Under certain circumstances, this Bertrand oligopoly game has clear affinities with the well-known notion in statistics called variance with...

The concept of the natural mate and conjugate curves associated to a smooth curve in Euclidian 3-space were introduced initially by Dashmukh others. In this paper, we give some extra results that add more properties with space E 3 . position vectors given...

In this paper, some special types of surfaces with null Cartan base curve are investigated. The generating lines the chosen as a linear combination frame fields non-constant differentiable functions. Firstly, whose have same direction B; N and T examined respectively. As case, Gaussian Mean curvatures one parameter family Bertrand curves given singular points type surface stated. Furthermore, a...

Most existing Nash-Cournot models of competition among electricity generators assume that firms behave purely Cournot or Bertrand with respect to transmission decisions by the independent system operator. Such models are unrealistic for markets in which interfaces connecting subnetworks are frequently saturated but the congestion pattern within individual subnetworks is less predictable. We pro...

Let $B$ be a simple CM abelian variety over field $E$, $p$ rational prime. Suppose that has potentially ordinary reduction above and is self-dual with root number $-1$. Under some further conditions, we prove the generic non-vanishing of (cyclotomic) $p$-adic heights on along anticyclotomic $\Z_{p}$-extensions $E$. This provides evidence towards Schneider's conjecture heights. For elliptic curv...

In a differentiated products setting with n varieties it is shown, under certain regularity conditions, that if the demand structure is symmetric and Bertrand and Cournot equilibria are unique then prices and profits are larger and quantities smaller in Cournot than in Bertrand competition and, as n grows, both equilibria converge to the efficient outcome at a rate of at least l/n. If Bertrand ...