Value Complementarity Research Articles

Absolute Value Variational Inclusions

In this paper, we consider a new system of absolute value variational inclusions. Some interesting and extensively problems such as absolute value equations, difference of monotone operators, absolute value complementarity problem and hemivariational inequalities as special case. It is shown that variational inclusions are equivalent to the fixed point problems. This alternative formulation is used to study the existence of a solution of the system of absolute value inclusions. New iterative methods are suggested and investigated using the resolvent equations, dynamical system and nonexpansive mappings techniques. Convergence analysis of these methods is investigated under monotonicity. Some special cases are discussed as applications of the main results.

How Nascent Organizations Overcome Unfavorable Legitimacy Judgments to Form Partnerships

Collaboration amongst stakeholders is imperative to addressing grand challenges. However, nascent organizations, that are often the source of new ideas, suffer from unfavorable legitimacy judgments by incumbent stakeholders which can impede partnership formation. How do nascent organizations that adopt new practices and build legitimacy to partner with incumbents? We address this question through an inductive examination of online platforms in an Asian country for crowdfunded donations––which are often perceived negatively by mainstream social services––and how the crowdfunding platforms eventually form collaborative partnerships with incumbent social service organizations. Our findings reveal how case workers in crowdfunding platforms improved legitimacy judgments towards crowdfunded donations by enacting three interrelated practices that differentiated and replicated aspects of incumbent social workers’ practices––(1) enacting value complementarity, (2) upholding professional values through differentiated practices, and (3) replicating governance practices. These legitimacy-enhancing practices enabled case workers to introduce a new way of social welfare provisioning, while also reducing sanctioning by incumbent social services organizations and fostering interagency collaboration.

A mobile services recommendation system fuses implicit and explicit user trust relationships

In recent years, with the development of advanced mobile applications, people’s various daily behavior data, such as geographic location, social information, hobbies, are more easily collected. To process these data, data cross-boundary fusion has become a key technology, and there are some challenges, such as solving the problems of the cross-boundary business integrity, cross-boundary value complementarity and so on. Mobile Services Recommendation requires improved recommendation accuracy. User trust is an effective measure of information similarity between users. Using trust can effectively improve the accuracy of recommendations. The existing methods have low utilization of general trust data, sparseness of trust data, and lack of user trust characteristics. Therefore, a method needs to be proposed to make up for the shortcomings of explicit trust relationships and improve the accuracy of user interest feature completion. In this paper, a recommendation model is proposed to mine the implicit trust relationships from user data and integrate the explicit social information of users. First, the rating prediction model was improved using the traditional Singular Value Decomposition (SVD) model, and the implicit trust relationships were mined from the user’s historical data. Then, they were fused with the explicit social trust relationships to obtain a crossover data fusion model. We tested the model using three different orders of magnitude. We compared the user preference prediction accuracies of two models: one that does not integrate social information and one that integrates social information. The results show that our model improves the user preference prediction accuracy and has higher accuracy for cold start users. On the three data sets, the average error is reduced by 2.29%, 5.44% and 4.42%, suggesting that it is an effective data crossover fusion technology.

Merit functions for absolute value variational inequalities

<abstract><p>This article deals with a class of variational inequalities known as absolute value variational inequalities. Some new merit functions for the absolute value variational inequalities are established. Using these merit functions, we derive the error bounds for absolute value variational inequalities. Since absolute value variational inequalities contain variational inequalities, absolute value complementarity problem and system of absolute value equations as special cases, the findings presented here recapture various known results in the related domains. The conclusions of this paper are more comprehensive and may provoke futuristic research.</p></abstract>

Sustainability assessment and complementarity

Sustainability assessments bring together different perspectives that pertain to sustainability to produce overall assessments, and a wealth of approaches and tools have been developed in the past decades. However, two major problems remain. The problem of integration concerns the surplus of possibilities for integration; different tools produce different assessments. The problem of implementation concerns the barrier between assessment and transformation; assessments do not lead to the expected changes in practice. We aim to analyze issues of complementarity in sustainability assessment and transformation as a key to better handling the problems of integration and implementation. Based on a generalization of Niels Bohr’s complementarity from quantum mechanics, we have identified two forms of complementarity in sustainability assessment, observer stance complementarity and value complementarity. Unlike many other problems of sustainability assessment, complementarity is of a fundamental character connected to the very conditions for observation. Therefore, complementarity cannot be overcome methodologically, only handled better or worse. Science is essential to the societal goal of sustainability, but these issues of complementarity impede the constructive role of science in the transition to more sustainable structures and practices in food systems. The agencies of sustainability assessment and transformation need to be acutely aware of the importance of different perspectives and values and the complementarities that may be connected to these differences. An improved understanding of complementarity can help to better recognize and handle issues of complementarity. These deliberations have relevance not only for sustainability assessment, but more generally for transdisciplinary research on wicked problems.

Iterative Auction Design for Tree Valuations

We study a special class of multi-item valuations (tree valuations) that exhibit both value complementarity and substitutability. We provide a linear programming formulation of the efficient allocation problem that is of polynomial size in the number of agents and items. This reveals a new class of valuations for which a Walrasian equilibrium exists in the presence of value complementarities. An iterative algorithm for this linear program, in conjunction with an appropriate payment rule, yields an iterative auction that implements the efficient outcome (at an ex post perfect equilibrium). This auction relies on a simple pricing rule, compact demand reports, and uses a novel (interleaved) price update structure to assign final payments to bidders that guarantee truthful bidding.

Atoms, Bits, and Wits: A New Economics for the Twenty-First Century—Part I

Part I: Three elementary components of economics are atoms, bits, and wits. The economics of atoms is familiar to economists, in the production of physical outputs treated as substitutes in consumption. The relation of value to scarcity with atoms is that abundance reduces the worth of material goods. The realm of bits is less understood; the issues appear in network effects, where abundance augments the worth of intangibles. The economics of networks is social: conflicts of interest (substitution) are balanced with concerts of value (complementarity) in combination. But in information networks—the realm of bits—substitution cedes to complementarity and competition defers to cooperation as efficient.

Generalized symmetric accelerated over relaxation method for solving absolute value complementarity problems

In this paper, we suggest and analyze a symmetric accelerated over relaxation (SAOR) method for absolute complementarity problems of finding x ? R n , such that x ? 0, Ax ? |x| ? b ? 0, ?x, Ax ? |x| ? b? = 0, where A ? R n×n and b ? R n . We discuss the convergence of SAOR method when the system matrix A is an L-matrix. Several examples are given to illustrate the implementation and efficiency of the method. The results proved in this paper may stimulate further research in this fascinating and interesting field.

Generalized simmetric accelerated over relaxation method for solving absolute value complementarity problems

Generalized simmetric accelerated over relaxation method for solving absolute value complementarity problems

Generalized AOR Method for Solving Absolute Complementarity Problems

We introduce and consider a new class of complementarity problems, which is called the absolute value complementarity problem. We establish the equivalence between the absolute complementarity problems and the fixed point problem using the projection operator. This alternative equivalent formulation is used to discuss the existence of a solution of the absolute value complementarity problem. A generalized AOR method is suggested and analyzed for solving the absolute the complementarity problems. We discuss the convergence of generalized AOR method for the L‐matrix. Several examples are given to illustrate the implementation and efficiency of the method. Results are very encouraging and may stimulate further research in this direction.

The impact of electronic commerce on the publishing industry: towards a business value complementarity framework of electronic publishing

The publishing industry, like many other industries, is exploring new markets, new services and new products in response to forces such as advances in information and communication technologies, business strategies such as mass customisation, globalisation and shorter production cycles. This paper focuses on the way in which electronic commerce (e-commerce) technologies are changing and could change the publishing processes, and develops a business value complementarity model of electronic publishing. This model gives a theoretical rationale for, and can be used as a methodology to explore, complementarities between different primary activities and supporting technologies when entering the e-commerce arena in order to maximise profitability and improve the competitive position.

The Impact of Electronic Commerce on the Publishing Industry: towards a business value complementarity framework of electronic publishing

The Impact of Electronic Commerce on the Publishing Industry: towards a business value complementarity framework of electronic publishing

Decision support for managing organizational design dynamics

Changes in the business environment and the advent of new Information Technologies (IT) create new challenges and opportunities for redesigning the organization. Organizational design encompasses a large number of factors including IT, incentives, business processes, and the scope of decision authority. Further, a design configuration based on a given business and technological environment may have to be modified with changes in the environment. We suggest using an approach called business value complementarity [8] as a systematic basis to ensure that design decisions contribute maximally to bottom-line performance measures such as profitability. It is based on the notion of creating a business value model showing relationships between key performance measures and design decision variables involving IT, incentives, etc. Complementarity between the variables in the business value model provides a basis for choosing the levels of design variables. We derive some results which specify conditions under which the overall performance measure(s) are complementary in the design variables. We suggest that a Decision Support System (DSS) would be appropriate for helping senior management in the complex process of developing and maintaining a business value model and in choosing a suitable organizational design. We also enumerate high level functional requirements of such a DSS.

The complementarity of quantum observables: Theory and experiments

Three notions of complementarity - operational, probabilistic, and value complementarity - are reanalysed with respect to the question of joint measurements and compared with reference to some examples of canonically conjugate observables. It is shown that the joint measurability of noncommuting observables is a consequence of the quantum formalism if unsharp observables are taken into account; a fact not in conflict with the idea of complementarity, which, in its strongest version, was originally formulated only for sharp observables. As an illustration of the general theory, the wave-particle duality of photons is analysed in terms of complementary path and interference observables and their unsharp joint measurability.