Polyhedral Convexity and the Existence of Approximate Equilibria in Discontinuous Games
نویسندگان
چکیده
منابع مشابه
Polyhedral Convexity and the Existence of Approximate Equilibria in Discontinuous Games∗
Radzik (1991) showed that two-player games on compact intervals of the real line have ε – equilibria for all ε > 0, provided that payoff functions are upper semicontinuous and strongly quasi-concave. In an attempt to generalize this theorem, Ziad (1997) stated that the same is true for n-player games on compact, convex subsets of Rm, m ≥ 1 provided that we strengthen the upper semicontinuity co...
متن کاملPolytopes and the existence of approximate equilibria in discontinuous games
Radzik (1991) showed that, by strengthening the usual quasi-concavity assumption on players’ payoff functions, upper semi-continuous two-player games on compact intervals of the real line have ε-equilibria for all ε > 0. Ziad (1997) then stated that the same conclusion holds for n-player games on compact, convex subsets of Rm, m ≥ 1, provided that the upper semi-continuity condition is strength...
متن کاملExistence of equilibria in discontinuous Bayesian games
We provide easily-verifiable sufficient conditions on the primitives of a Bayesian game to guarantee the existence of a behavioral-strategy Bayes–Nash equilibrium. We allow players’ payoff functions to be discontinuous in actions, and illustrate the usefulness of our results via an example of an all-pay auction with general tie-breaking rules which cannot be handled by extant results. © 2015 El...
متن کاملOn the existence of approximate equilibria and sharing rule solutions in discontinuous games
This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny’s betterreply security condition (Reny (1999)), and its recent improvements (Barelli and Meneghel (2013); McLennan et al. (2011); Reny (2009, 2011)). We propose new approaches, related to Reny’...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2006
ISSN: 1556-5068
DOI: 10.2139/ssrn.921803