Duality for quasi-concave programs with application to economics

A duality theory is developed for mathematical programs with strictly quasi-concave objective functions to be maximized over a convex set. This work broadens the duality theory of Rockafellar and Peterson from concave (convex) functions to quasi-concave (quasi-convex) functions. The theory is closely related to the utility theory in economics. An example from economic planning is examined and the solution to the dual program is shown to have the properties normally associated with market prices.     

On the aggregation of preferences

The article attempts to show how network theory may be applied to gain new and better insights into basic economic problems. Starting with a precise definition of what is meant by acting and, in particular, by economic acting, we direct the line of argumentation toward solving the problem of how to aggregate economic decisions. Results indicate that network theory might well prove itself to be a powerful instrument in developing a theory of human behavior much more comprehensive than currently used models.     

A targeting model that minimizes collateral damage

This paper considers the problem of allocating weapons to achieve targeting objectives while simultaneously minimizing aggregate damage to surrounding nonmilitary facilities, each of which has an upper limit to the damage it is permitted to incur. A model is formulated which assumes only that damage to individual targets or associated facilities does not decrease as the number of allocated weapons increases. An implicit enumeration algorithm, based on that of Lawler and Bell is described that yields optimal integer solutions. An example is presented.     

A characterization of the value of zero-sum two-person games

For the family D, consisting of those zero-sum two-person games which have a value, the value-function on D is characterized by four properties called objectivity, monotony, symmetry and sufficiency.     

The continuous‐time single‐sourcing problem with capacity expansion opportunities

This paper develops a new model for allocating demand from retailers (or customers) to a set of production/storage facilities. A producer manufactures a product in multiple production facilities, and faces demand from a set of retailers. The objective is to decide which of the production facilities should satisfy each retailer's demand, in order minimize total production, inventory holding, and assignment costs (where the latter may include, for instance, variable production costs and transportation costs). Demand occurs continuously in time at a deterministic rate at each retailer, while each production facility faces fixed‐charge production costs and linear holding costs. We first consider an uncapacitated model, which we generalize to allow for production or storage capacities. We then explore situations with capacity expansion opportunities. Our solution approach employs a column generation procedure, as well as greedy and local improvement heuristic approaches. A broad class of randomly generated test problems demonstrates that these heuristics find high quality solutions for this large‐scale cross‐facility planning problem using a modest amount of computation time. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

抗战初期晋察冀边区的县政权建设

县政权,是中共政权系统承上启下的一个重要环节。抗战初期,晋察冀边区的县政权建设经历了起步与发展的历程。晋察冀边区的县政权虽属初建,却在探索实践中不断发展,其不仅表现为县政权组织构成和主要职能的组建与嬗变,亦表现为县政权会议制度的创建与改进,都体现了延续与渐变的因时而易的特点。在这过程中,中国共产党坚决实行抗日民主政策,团结社会各阶层,不断扩大民众的民主权利,实行民主决策,促进了敌后抗日根据地的建设,更好地适应了战时变局,为其后的中共县政权建设积累了宝贵的经验。     

Can security vetting be extended to include the detection of financial misconduct?

An analysis of the security vetting files of 19 employees within a South African national department who had been found guilty of financial misconduct in the last five years uncovered that the existing security vetting processes did not detect the financial misconduct of which these employees have been found guilty. This research sets out to establish whether security vetting can be extended to include the detection of financial misconduct within the department and, if so, how. Moreover, if security vetting can indeed be so extended, can it possibly enhance the management of fraud risk across all South African public sector departments? Qualitative interviews were conducted with 27 employees who are key to fraud risk management and security vetting within the researched department. During the interviews, the following five themes emerged: (1) the reasons why employees commit financial misconduct; (2) why it is not detected by the security vetting process; (3) the potential alignment of the security vetting process to facilitate the detection of financial misconduct; (4) the following through on security vetting findings; and (5) sharing these findings with the internal audit and risk management functions within state departments. These themes were probed and are reported on, establishing firstly that security vetting can indeed be extended to include the detection of financial misconduct within the researched department, and secondly that it can enhance the management of fraud risk across all South African public sector departments, given the specific mandate of the State Security Agency (SSA) and the national security vetting strategy.     

Nuclear weapons,the United States and alliances in Europe and Asia: Toward an institutional perspective

America’s alliances in Europe and East Asia all involve some institutional cooperation on U.S. nuclear weapons policy, planning or employment—from consultative fora in Asia to joint policy and sharing of nuclear warheads in NATO. Such cooperation is often analyzed through the prism of “extended nuclear deterrence,” which focuses on the extension of U.S. security guarantees and their effect on potential adversaries. This article argues that this underplays the importance of institutional factors: Allies have historically addressed a range of objectives through such cooperation, which has helped to catalyze agreements about broader alliance strategy. The varied form such cooperation takes in different alliances also flows from the respective bargaining power of allies and the relative importance of consensus, rather than perceived threats. The article concludes that nuclear weapons cooperation will remain crucial in successful U.S. alliance management, as allies negotiate their relationship with each other in the face of geostrategic change.     

Constructing a strict total order for alternatives characterized by multiple criteria: An extension

The problem of finding a strict total order for a finite set of multiple criteria alternatives is considered. Our research extends previous work by us, which considered finding a partial order for a finite set of alternatives. We merge the preference information extracted from the preference cones and corresponding polyhedral sets, with the information derived from pairwise comparisons of two alternatives, yielding a preference matrix. This preference matrix is used as input to an integer programming model to obtain a strict total order that provides a transitive ranking for the set of alternatives. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 155–163, 2014