1,491 research outputs found
Some forgotten equilibria of the Bertrand duopoly!?
No full textThis note analyzes the Bertrand duopoly with constant but asymmetric marginal costs on a market with homogenous products. It is shown that there exist some equilibria that are ignored in the literature on IO. In addition, in this setting (perfectly or nearly perfectly) competitive equilibria exist.
Uniqueness in the Weakly Inelastic Regime of the Equilibrium State to the Boltzmann Equation Driven by a Particle Bath
No full textIntegral representation of the linear Boltzmann operator for granular gas dynamics with applications
No full text19 pages, to appear in Journal of Statistical Physics.International audienceWe investigate the properties of the collision operator associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics. We establish that, as in the case of non-dissipative interactions, the gain collision operator is an integral operator whose kernel is made explicit. One deduces from this result a complete picture of the spectrum of the collision operator in an Hilbert space setting, generalizing results from T. Carleman to granular gases. In the same way, we obtain from this integral representation of the gain operator that the semigroup in L^1(\R \times \R,\d \x \otimes \d\v) associated to the linear Boltzmann equation for dissipative hard spheres is honest generalizing known results from the first author
On the kinetic theory for active particles: A model for tumor-immune system competition
No full textThis paper deals with the qualitative analysis of a model describing the competition between tumor and immune cells. Such competition is characterized by proliferation-destruction phenomena and the interacting entities are characterized by a microscopic state which is modified by interactions. The model also includes the description of the natural trend of immune cells to reach a healthy or sentinel level, even when they have been involved in the competition with the tumor cells. The model is developed in the mathematical framework of the kinetic theory for active particles
Heterogeneous Behavioral Rules in the Oligopolistic Case
No full textIn a static symmetric duopoly the set of behavioral rules is extended to different types of markup pricing. Using an equilibrium concept suggested in Pasche (2001), it is shown that dependend on the markup neither pure Cournot nor pure Bertrand behavior is a behavioral equilibrium profile. Instead, there is a rationale for the usage of simple heuristics. The presence of markup rules leads to Stackelberg outcomes. Furthermore, pure markup behavior is more competitive than in Cournot case but less competitive than in Bertrand case. It is shown, that multiple behavioral equilibria and heterogeneous behavior may arise, where at least one player uses price setting strategies.oligopoly, markup rules, heterogeneity, behavioral equilibrium.
A Bertrand-Edgeworth-oligopóliumok (Bertrand-Edgeworth oligopolies – a survey of the literature)
No full textAz irodalomban az olyan oligopolmodellek, amelyekben mind az ár, mind a mennyiség döntési változó, Bertrand-Edgeworth-oligopóliumok néven ismertek. E tanulmányban a Bertrand-Edgeworth-oligopóliumokkal kapcsolatos érdekesebb eredményeket tekintjük át. Tárgyaljuk a Bertrand-Edgeworth-típusú oligopolmodellek specifikációját, a Nash-egyensúly létezését, a Nash-egyensúly meghatározását és a Bertrand-Edgeworth-oligopóliumok alkalmazásait. / === / Oligopoly models in which both price and quantity are decisive variables are known in the literature as Bertrand-Edgeworth oligopolies, the most interesting results with which are surveyed in this paper. The author assumes the existence of the Nash equilibrium, as the specification of Bertrand-Edgeworth-type oligopoly models, the determination of the Nash equilibrium, and the application of Bertrand-Edgeworth oligopolies
Data used for the spatio-temporal analysis of the climatic debt observed in understory plant communities
No full textDetails about the variables' computation and definition are provided in Bertrand 2018 and Bertrand et al. 2016. References: Bertrand, R.et al. (2016) Ecological constraints increase the climatic debt in forests. Nature communications 7: 12643. Bertrand, R. (2018) Unequal contributions of species’ persistence and migration on plant communities’ response to climate warming throughout forests. Ecography. Accepted Author Manuscript
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