Diagonally strictly concave
WebStrictly convex if strict inequality holds whenever x 6= y and 0 < λ < 1. We say f is concave if −f is convex. An affine function is both convex and concave. A function f is convex if it is convex when restricted to any line intersecting its domain: for any x ∈ domf and v, g(x +tv) is convex on {t : x +tv ∈ domf}. WebMay 15, 1988 · We say that {x, y} is (strictly) diagonally quasi-concave (DQCV) in y if -(x, y) is (strictly) DQCX in y. Remark 2.2. (i) In [3], we had called diagonal quasi …
Diagonally strictly concave
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WebJ. B. Rosen proved that in concave games of n players (which assumes that Cartesian product of strategy profiles is convex) if the game satisfies the condition of diagonally … WebJun 1, 2015 · The conflict network game satisfies the requirement of a concave n-person game by the assumptions on the payoff function. Hence, the following proposition establishes existence and uniqueness by proving that the conflict network game is also diagonally strictly concave. Proposition 1 There exists a unique equilibrium in the …
WebJan 1, 2024 · (Since h i is concave, it follows that the set S i is a convex set.) The next definition introduces the key condition used in establishing the uniqueness of a pure … WebGeneralising Diagonal Strict Concavity Property for Uniqueness of Nash Equilibrium Eitan Altman, Manjesh Kumar Hanawal, and Rajesh Sundaresan Abstract In this paper, we …
WebJun 1, 2016 · Generalising diagonal strict concavity property for uniqueness of Nash equilibrium CC BY-NC-SA Authors: Eitan Altman National Institute for Research in … WebSep 8, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site
Web(Indian Institute of Technology Bombay) Rajesh Sundaresan (Indian Institute of Science) Registered: Abstract In this paper, we extend the notion of diagonally strictly concave …
http://www.lamda.nju.edu.cn/chengq/course/slides/Lecture_4.pdf daly city sfWebAug 1, 1985 · Rosen proceeds by showing that the assumption of strictly diagonally concave payoff functions ascertains uniqueness of the equilibrium outcome. In the Appendix it is demonstrated that our model satisfies the condition for strict diagonal concavi- ty. At such an outcome no player can improve his payoff by a unilateral … daly city sheriff departmentWebGENERALISING DIAGONAL STRICT CONCAVITY PROPERTY 219 A sufficient condition for the familyVto be diagonally strictly concave (convex) for a given r ‚0 is that the … bird friendly glass costWebProposition 8. The (twice continuously differentiable) function f : A ! R is concave if and only if D2 f (x) is NSD for every x 2A. If D2 f (x) is ND, then the function is strictly concave. Proof. We first show that concavity implies Hessian matrix is NSD. Suppose f is concave. Fix some x2A, with some z6= 0, take second-order Taylor expansion, daly city sister citiesWebWe say that a graph is concave up if the line between two points is above the graph, or alternatively if the first derivative is increasing. (In finance, such a curve is said to be convex.) Similarly, we say that a graph is concave down if the line between two points is below the graph, or alternatively if the first derivative is decreasing. bird friendly glassWebJul 1, 2009 · Existence and uniqueness of equilibrium points for concave n-person games. Econometrica, 33 (1965), pp. 520-534. CrossRef Google Scholar [44] W.H. Sandholm. Potential games with continuous player sets. J. Econ. Theory, 97 (2001), pp. 81-108. View PDF View article View in Scopus Google Scholar [45] bird friends barcelonaWebNov 23, 2024 · In an optimization problem, the decision maker seeks a maximizer (or minimizer) to an objective function, subject to some constraints. In a game, each player also optimizes her payoff, but the result depends on the strategies chosen by the other players. bird friendly glass requirements nyc