Existence of Pareto Equilibria for Non-compact Constrained Multi-criteria Games
نویسنده
چکیده
In this paper, an existence result of quasi-equilibrium problem is proved and used to establish the existence of weighted Nash equilibria for constrained multi-criteria games under a generalized quasiconvexity condition and a coercivity type condition on the payoff functions. As consequence, we prove the existence of Pareto equilibria for constrained multi-criteria games with non-compact strategy sets in topological vector spaces.
منابع مشابه
Existence of nash equilibria for constrained stochastic games
In this paper, we consider constrained noncooperativeN -person stochastic games with discounted cost criteria. The state space is assumed to be countable and the action sets are compact metric spaces. We present three main results. The first concerns the sensitivity or approximation of constrained games. The second shows the existence of Nash equilibria for constrained games with a finite state...
متن کاملOn Generalized Weight Nash Equilibria for Generalized Multiobjective Games
In this paper, we will introduce the general concepts of generalized multiobjective game, generalized weight Nash equilibria and generalized Pareto equilibria. Next using the fixed point theorems due to Idzik [5] and Kim-Tan [6], we shall prove the existence theorems of generalized weight Nash equilibria under general hypotheses. And as applications of generalized weight Nash equilibria, we sha...
متن کاملExistence of Pareto Equilibria for Multiobjective Games without Compactness
In this paper, we investigate the existence of Pareto and weak Pareto equilibria for multiobjective games without compactness. By employing an existence theorem of Pareto equilibria due to Yu and Yuan([10]), several existence theorems of Pareto and weak Pareto equilibria for the multiobjective games are established in a similar way to Flores-Bázan([4]).
متن کاملOn the Existence of Strong Nash Equilibria
This paper investigates the existence of strong Nash equilibria (SNE) in continuous and concave games. We show that the coalition consistence property introduced in the paper, together with the concavity and continuity of payoffs, permits the existence of strong Nash equilibria in games with compact and convex strategy spaces. The coalition consistency property is a general condition that canno...
متن کاملEquilibria in multi-player multi-outcome infinite sequential games
We investigate the existence of certain types of equilibria (Nash, ε-Nash, subgame perfect, ε-subgame perfect, Pareto-optimal) in multi-player multi-outcome infinite sequential games. We use two fundamental approaches: one requires strong topological restrictions on the games, but produces very strong existence results. The other merely requires some very basic determinacy properties to still o...
متن کامل