We develop a new notion of second-order complementarity with respect to the tangent subspace related to second-order necessary optimality conditions by the introduction of so-called tangent multipliers. We prove that around a local minimizer, a second-order stationarity residual can be driven to zero while controlling the growth of Lagrange multipliers and tangent multipliers, which gives a new...

The paper proposes a new approach to the theory of Markov decision processes (MDPs) with average performance criteria and finite state and action spaces. Using the average performance and bias difference formulas derived in this paper, we develop an optimization theory for average performance (or gain) optimality, bias optimality, and all the high-order bias optimality, in a unified way. The ap...

The necessary and sufficient conditions of optimality of the decoding of quantum signals minimizing the Bayesian risk are generalized for the Shannon mutual information criteria. It is shown that for a linear channel with Gaussian boson noise these conditions are satisfied by coherent quasi-measurement of the canonical annihilation amplitudes in the received superposition. 1 Necessary and suffi...

The Alternating Prisoner's Dilemma is a variant of the iterated Prisoner's Dilemma in which the players alternate in the roles of actor and recipient. We searched for strategies which are "optimal" in the Alternating Prisoner's Dilemma with noise (a non-zero probability that a player's decision will be transmitted incorrectly). In order to achieve success against a variety of other strategies, ...

The need of polygonal elements to represent the domain is gaining interest among structural engineers. The objective is to perform static analysis and topology optimization of a given continuum domain using the rational fraction type shape functions of six node hexagonal elements. In this paper, the main focus is to perform the topology optimization of two-dimensional plate structures using Evo...

We study various optimality criteria for quantum observables. Observables are represented as covariant positive operator valued measures and we consider the case when the symmetry group is compact. Phase observables are examined as an example.

We prove a version of Lagrange multipliers theorem for nonsmooth functionals defined on normed spaces. Applying these results, we extend some results about saddle point optimality criteria in mathematical programming. © 2005 Elsevier Inc. All rights reserved.

this paper provides an optimality-theoretic account of dissimilation in standard persian as well as some other accents and dialects of persian. as such, this work starts by introducing optimality theory (henceforth ot) and its basic concepts and then it investigates dissimilation in this framework. it argues for the superiority of ot over derivational approaches regarding a case in which both d...