We examine a …rm that can license its production technology to a rival when …rms are heterogeneous in production costs. We show that a complete technology transfer from one …rm to another always increases joint pro…t under weakly concave demand when at least three …rms remain in the industry. A jointly pro…table transfer may reduce social welfare, although a jointly pro…table transfer from the ...

This paper proposes a discrete analogue of concavity appropriate for potential games with discrete strategy sets. It guarantees that every Nash equilibrium maximizes a potential function. JEL classification: C72.

The aim of this work is to show a Berwald type inequality for the extremal universal integrals based on (α ,m) concave function. Some examples are given to illustrate the validity of these inequalities.

Let L be a divergence form elliptic operator with complex bounded measurable coefficients, ω the positive concave function on (0,∞) of strictly critical lower type pω ∈ (0, 1] and ρ(t) = t /ω(t) for t ∈ (0,∞). In this paper, the authors introduce the generalized VMO spaces VMOρ,L(R) associated with L, and characterize them via tent spaces. As applications, the authors show that (VMOρ,L(R)) = Bω...

We propose a stochastic extension of the primal-dual hybrid gradient algorithm studied by Chambolle and Pock in 2011 to solve saddle point problems that are separable in the dual variable. The analysis is carried out for general convex-concave saddle point problems and problems that are either partially smooth / strongly convex or fully smooth / strongly convex. We perform the analysis for arbi...

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, some new generalized Hermite-Hadamard type inequalities for functions whose derivatives in absolute values are convex, concave, s-convex in the second sense, and s-concave in the second sense are established.

Results from analyzing the curvature of a surface can be used to improve the implementation, e ciency, and e ectiveness of manufacturing and visualization of sculptured surfaces. In this paper, we develop a robust method using hybrid symbolic and numeric operators to create trimmed surfaces each of which is solely convex, concave, or saddle and partitions the original surface. The same method i...

We show the robustness of the Walrasian result obtained in models of bargaining in pairwise meetings. Restricting trade to take place only in pairs, most of the assumptions made in the literature are dispensed with. These include assumptions on preferences (differentiability, monotonicity, strict concavity, bounded curvature), on the set of agents (dispersed characteristics) or on the consumpti...

Some basic results for Dirichlet series ψ with positive terms via log-convexity properties are pointed out. Applications for Zeta, Lambda and Eta functions are considered. The concavity of the function 1/ψ is explored and, as a main result, it is proved that the function 1/ζ is concave on (1,∞) . As a consequence of this fundamental result it is noted that Zeta at the odd positive integers is b...

This paper investigates the mechanism through which short selling of a bank’s stocks can trigger the failure of the bank. In the model, creditors, who learn information from stock prices, will grow increasingly unsure about the bank’s true fundamentals in facing noisier stock prices; thus a run on the bank is more likely because of creditors’ concave payo¤. Understanding this, speculators condu...