Minimax theorem
Minimax theorem and Nash equilibrium of symmetric three players zero sum game with two strategic variables
... In the next section we present a model of this paper and prove some pre- liminary results which are variations of Sion’s minimax theorem. In Section 3 we will show the main results. An example of ...
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Sion's minimax theorem and Nash equilibrium of symmetric multi person zero sum game
... the minimax strategies constitute a Nash ...the minimax theorem there may exist an asymmetric equilibrium in a symmetric multi-person zero-sum ...
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Sion's minimax theorem and Nash equilibrium of symmetric three players zero sum game
... Sion’s minimax theorem with the coincidence of the max- imin strategy and the minimax strategy are proved by the existence of a symmetric Nash ...
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Stackelberg type dynamic zero sum game with leader and follower
... Sion’s minimax theorem (Sion(1958)) implies that at the sub-game perfect equilibrium of the Stackelberg type dynamic zero-sum game with a leader and a follower the roles of leader and follower are ...
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On zero sum game formulation of non zero sum game
... The minimax theorem by Sion (Sion(1958)) implies the existence of Nash equilibrium in the n players non zero-sum ...the minimax strategy of the n + 1-th player is equivalent to the Nash equilibrium ...
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Ky Fan minimax inequalities for set-valued mappings
... a minimax theorem and a cone saddle point theorem for a class of vector-valued functions, which include the separated functions as its proper ...studied minimax theorems for general ...
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Generalized hierarchical minimax theorems for set valued mappings
... some minimax theorems for four real-valued functions by using some new alternative ...hierarchical minimax theorems for set-valued ...hierarchical minimax theorem for scalar set-valued ...
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The Existence and Uniqueness of Solution of Duffing Equations with Non- Perturbation Functional at Nonresonance
... This paper deals with a boundary value problem for Duffing equation. The existence of unique solution for the problem is studied by using the minimax theorem due to Huang Wenhua. The existence and uniqueness ...
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Study on Fuzzy Quadratic Programming Problems
... and minimax theorem in vague sense were discussed and applied to the Lagrange duality theory of fuzzy programming, and Lagrange duality and KKT conditions of convex fuzzy programming were obtained; ...
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Generalizations of the Nash Equilibrium Theorem in the KKM Theory
... KKM theorem. In this paper, we derive generalized forms of the Ky Fan minimax inequality, the von Neumann-Sion minimax theorem, the von Neumann-Fan intersection theorem, the Fan-type ...
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Multilayer approach to minimax theorems
... KKM theorem, Fan established the celebrated minimax theo- rem [, ] by employing a whole intersection ...Fan’s minimax theorem were established ...to minimax theorems for real-valued ...
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Sion's mini max theorem and Nash equilibrium in a multi players game with two groups which is zero sum and symmetric in each group
... Sion’s minimax theorem for a continuous function and the existence of Nash equilibrium in a multi-players game with two groups which is zero-sum and symmetric in each ...
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Adolescents, Cognitive Ability, and Minimax Play
... with minimax predictions in all three ...the minimax proportion while the other matches equiprobable ...to minimax predictions nor subject ...
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Robust Multi-Agent Reinforcement Learning via Minimax Deep Deterministic Policy Gradient
... The particle world environment consists of N cooperative agents, M adversarial agents and L landmarks in a two- dimensional world with continuous space. We focus on the four mixed cooperative and competitive scenarios to ...
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Minimax MMSE Estimator for Sparse System
... Abstract—In this work, we consider a minimum mean square error (MMSE) estimator utilizing compressed sensing (CS) idea when the system is underdetermined. First, we attempt to directly solve the nonconvex problem in an ...
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Rate Minimaxity of the Lasso and Dantzig Selector for the lq Loss in lr Balls
... denominator of (31), compared with (23) and (30) for the Dantzig selector. Moreover, the error bound in (23) for the Dantzig selector is also of the order k 1/q λ for q ≤ 2 with much smaller con- stant factors, and the ...
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Minimax Analysis of Active Learning
... of minimax label complexities, depending on the structure of the hypothesis class, so that even among hypothesis classes of roughly the same minimax sample complexities for passive learning, there can be ...
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A Nonmonotone Filter Method for Minimax Problems
... R. Fletcher proposed the global convergent SQP-filter trust-region method [9], based on this idea, Huang [13] proposed a filter method for Minimax problems. In [14], Ulbrich S. used the Lagrange function to ...
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Minimax problems under hierarchical structures
... Theorem Let U be a nonempty convex subset of a real Hausdorff topological space, V be a nonempty compact convex subset of a real Hausdorff topological space. Suppose that the set-valued mappings A, B, C : U × V ⇒ ...
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Minimax Estimation of Kernel Mean Embeddings
... specialize Theorem 12 to radial kernels but instead present the following result (proved in Section ...of Theorem 8), which is based on a direct analysis involving the properties of radial ...
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