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81.
82.
83.
Prof. R. W. Rosenthal 《International Journal of Game Theory》1974,3(3):119-128
A correlated equilibrium in a two-person game is “good” if for everyNash equilibrium there is a player who prefers the correlated equilibrium to theNash equilibrium. If a game is “best-response equivalent” to a two-person zero-sum game, then it has no good correlated equilibria. But games which are “almost strictly competitive” or “order equivalent” to a two-person zero-sum game may have good correlated equilibria. 相似文献
84.
85.
D.W Hadwin E.A Nordgren Heydar Radjavi Peter Rosenthal 《Journal of Functional Analysis》1980,38(3):410-415
An example is presented of a Hilbert space operator such that no non-scalar operator that commutes with it commutes with a non-zero compact operator. This shows that Lomonosov's invariant subspace theorem does not apply to every operator. 相似文献
86.
Arnon Rosenthal 《Discrete Applied Mathematics》1980,2(2):167-170
It is often desirable to perform a “sensitivity analysis” by perturbing the data given with a problem. Motivated by serial and nonserial dynamic programming, we define a variety of sensitivity analysis problems, produce algorithms, and obtain lower bound results. 相似文献
87.
88.
The ℒ
p
spaces which were introduced by A. Pełczyński and the first named author are studied. It is proved, e.g., that (i)X is an ℒ
p
space if and only ifX* is and ℒ
q
space (p
−1+q
−1=1). (ii) A complemented subspace of an ℒ
p
space is either an ℒ
p
or an ℒ2 space. (iii) The ℒ
p
spaces have sufficiently many Boolean algebras of projections. These results are applied to show thatX is an ℒ∞ (resp. ℒ1) space if and only ifX admits extensions (resp. liftings) of compact operators havingX as a domain or range space. We also prove a theorem on the “local reflexivity” of an arbitrary Banach space.
This research was partially supported by NSF Grant# 8964. 相似文献
89.
Hodgkiss JM Damrauer NH Pressé S Rosenthal J Nocera DG 《The journal of physical chemistry. B》2006,110(38):18853-18858
The temperature-isotope dependence of proton-coupled electron transfer (PCET) for a noncovalent molecular dyad is reported. The system consists of an excited-state Zn(II) porphyrin that transfers an electron to a naphthalene diimide acceptor through an amidinium-carboxylate interface. Two different isotope effects are observed for variant temperature regimes. A reverse isotope effect (i.e., kH/kD < 1) is observed as T approaches 120 K (kH/kD = 0.9, 120 K), whereas a normal isotope effect (i.e., kH/kD > 1) is recovered as the temperature is increased (kH/kD = 1.2, 300 K). The transition between these limits is smooth, with a crossover temperature of T approximately 160 K. These observations are in accordance with charge-transfer dynamics that are susceptible to bath-induced fluctuations in the proton coordinate. 相似文献
90.
William B. Haskell Alejandro Toriello 《Journal of Optimization Theory and Applications》2018,178(3):726-742
We use the Strassen theorem to solve stochastic optimization problems with stochastic dominance constraints. First, we show that a dominance-constrained problem on general probability spaces can be expressed as an infinite-dimensional optimization problem with a convenient representation of the dominance constraints provided by the Strassen theorem. This result generalizes earlier work which was limited to finite probability spaces. Second, we derive optimality conditions and a duality theory to gain insight into this optimization problem. Finally, we present a computational scheme for constructing finite approximations along with a convergence rate analysis on the approximation quality. 相似文献