In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a...

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...

space Kakutani fixed-point theorem Kleene fixed-point theorem Knaster–Tarski theorem Lefschetz fixed-point theorem Nielsen fixed-point theorem Poincaré–Birkhoff...

In mathematics, a number of fixed-point theorems in infinite-dimensional spaces generalise the Brouwer fixed-point theorem. They have applications, for...

references). Fixed-point theorems Banach fixed-point theorem Kakutani fixed-point theorem F. F. Bonsall, Lectures on some fixed point theorems of functional analysis...

critic for The New York Times. The Kakutani fixed-point theorem is a generalization of Brouwer's fixed-point theorem, holding for generalized correspondences...

In mathematics, the Markov–Kakutani fixed-point theorem, named after Andrey Markov and Shizuo Kakutani, states that a commuting family of continuous affine...

mathematics, Kakutani's theorem may refer to: the Kakutani fixed-point theorem, a fixed-point theorem for set-valued functions; Kakutani's theorem (geometry):...

the Kakutani fixed-point theorem in his 1950 paper to prove existence of equilibria. His 1951 paper used the simpler Brouwer fixed-point theorem for the...

equilibrium of a game is a fixed point of the game's best response correspondence. John Nash exploited the Kakutani fixed-point theorem for his seminal paper...

critic Shizuo Kakutani (1911–2004), Japanese-American mathematician Kakutani fixed-point theorem This page lists people with the surname Kakutani. If an internal...

of PPAD-complete problems. Sperner's lemma Brouwer fixed-point theorem Kakutani fixed-point theorem Nash equilibrium Core of Balanced Games Fisher market...

Markov-Kakutani fixed-point theorem - abelian semigroup of continuous affine self-maps on compact convex set in a topological vector space has a fixed point...

to do so. Envelope theorem Brouwer fixed point theorem Kakutani fixed point theorem for correspondences Michael selection theorem Ok, Efe (2007). Real...

Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point. Here...

there is a point y in X such that y ∈ F ( y ) {\displaystyle y\in F(y)} . This is a discrete analogue of the Kakutani fixed-point theorem, and the function...

equations) Markov tree Markov's theorem Markov time Markov brothers' inequality Markov–Krein theorem Markov–Kakutani fixed-point theorem Quantum Markov semigroup...

a formal application of Bayes' theorem⁠ — among them books by Gill and Henze. Use of the odds form of Bayes' theorem, often called Bayes' rule, makes...

unit circle leaves the point (0,0) fixed. Notice that the Kakutani theorem does not assert that there exists exactly one fixed point. Reflecting the unit disk...

well-known to have remarked long before Popper: "[i]f tolerance is taken to the point where it tolerates the destruction of those same principles that made tolerance...

Abilene paradox Centipede game Collective action problem Externality Folk theorem (game theory) Free-rider problem Gift-exchange game Hobbesian trap Innocent...

others have asserted that his description was historically inaccurate, pointing to the fact that the system endured for hundreds of years without producing...

successful landing and must be careful not to block themself. Hales–Jewett theorem m,n,k-game Number Scrabble Garcia, Dan. "GamesCrafters: Tic-Tac-Toe". gamescrafters...

non-competitive. Zero-sum games are most often solved with the minimax theorem which is closely related to linear programming duality, or with Nash equilibrium...

Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...

In combinatorial game theory, the Sprague–Grundy theorem states that every impartial game under the normal play convention is equivalent to a one-heap...

In game theory, a focal point (or Schelling point) is a solution that people tend to choose by default in the absence of communication in order to avoid...

In game theory, Zermelo's theorem is a theorem about finite two-person games of perfect information in which the players move alternately and in which...

John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard...

and thus the play continues until both players throw the same, at which point whoever was the last winner becomes the final winner. In "rock paper scissors...