Inspired by the reality that collection of fixed/common fixed points can embrace any symmetrical geometric shape comparable to a disc, circle, an elliptic ellipse, or hyperbola, we investigate subsistence point and common study their geometry in partial metric space introducing some novel contractions notions ellipse-like curve which is but entirely different than ellipse Euclidean space. We lo...

We denote by F(T) the set of fixed points of T. Numerous problems in physics, optimization, and economics reduce to find a solution of the equilibrium problem. Some methods have been proposed to solve the equilibrium problem in a Hilbert spaces; see, for instance, Blum and Oettli [1], Combettes and Hirstoaga [2], and Moudafi [3]. Recently, Tada and Takahashi [4, 5] and S. Takahashi and W. Takah...

The Complexity of Nash Equilibria by Constantinos Daskalakis Doctor of Philosophy in Computer Science University of California, Berkeley Professor Christos H. Papadimitriou, Chair The Internet owes much of its complexity to the large number of entities that run it and use it. These entities have different and potentially conflicting interests, so their interactions are strategic in nature. Ther...

we prove a strong convergence result for a sequence generated by halpern's type iteration for approximating a common fixed point of a countable family of quasi-lipschitzian mappings in a real hilbert space. consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for co...

We discuss the identification and estimation of normal form games. Following Bresnahan and Reiss (1990, 1991) utilities are a function of strategies, observed covariates, and random preference shocks. We also include an equilibrium selection rule as part of our model. Using recent algorithms to compute all of the Nash equilibrium to a game, we propose simulation-based estimators for parametric ...

the strategic pricing decisions of assembly products in assembly products supply chain are studied in this paper. firstly, a two-stage assembly products supply chain model is developed. by building nash game model, the nash equilibrium solution of pricing strategy of supplier and assemblers is obtained. next, a union decision model is built to analyze the optimal combination pricing strategy of...

We show that all the fundamental properties of competitive equilibrium in Marshall’s cardinal theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. That is, existence, uniqueness, optimality, and global stability of equilibrium prices with respect to tatonnement price adjustment follow from the cyclica...

We show that all the fundamental properties of competitive equilibrium in Marshall’s cardinal theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. That is, existence, uniqueness, optimality, and global stability of equilibrium prices with respect to tatonnement price adjustment follow from the cyclica...

In 1950, John Nash contributed a remarkable one-page PNAS article that defined and characterized a notion of equilibrium for n- person games. This notion, now called the "Nash equilibrium," has been widely applied and adapted in economics and other behavioral sciences. Indeed, game theory, with the Nash equilibrium as its centerpiece, is becoming the most prominent unifying theory of social sci...