Game theoretic analysis of maximum cooperative purchasing situations

This article introduces maximum cooperative purchasing (MCP)‐situations, a new class of cooperative purchasing situations. Next, an explicit alternative mathematical characterization of the nucleolus of cooperative games is provided. The allocation of possible cost savings in MCP‐situations, in which the unit price depends on the largest order quantity within a group of players, is analyzed by defining corresponding cooperative MCP‐games. We show that a decreasing unit price is a sufficient condition for a nonempty core: there is a set of marginal vectors that belong to the core. The nucleolus of an MCP‐game can be derived in polynomial time from one of these marginal vectors. To show this result, we use the new mathematical characterization for the nucleolus for cooperative games. Using the decomposition of an MCP‐game into unanimity games, we find an explicit expression for the Shapley value. Finally, the behavior of the solution concepts is compared numerically. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 60: 607–624, 2013     

Country survey VI: Australia

Australia is a geographically large country, with the world's longest national coastline to defend, but a relatively small economy of some 17.5 million people. Since World War II, Australia has faced the dilemma of how to structure defence policy in the absence of an identifiable threat. Its policy of self‐reliance aims to permit Australia to conduct defensive operations in the event of low/medium level threats without depending immediately on its allies. This is to be achieved through the technological sophistication of defence equipment, a highly professional but small defence force and local industry support.

The burden of defence, measured as the share of defence outlay in GDP declined from about 3% in 1971–72 to about 2.3% in 1993–94. It has been the Government's policy to encourage the development of local defence‐related industry, in particular in areas such as: electronics/optics; communications and information technology; aerospace; shipbuilding and repair, munitions; and land vehicles. However, defence procurement has a small impact on the Australian economy as a whole.     

Country survey XVIII: The two Koreas' defence economy

In this paper we change the structure of the basic conflict model. This makes it possible to found an economic theory of war and peace. Apart from few exceptions there exist no peace equilibria in the related literature of conflict theory. The aim of the paper is to fill this gap, because most parts of the world live in peace. Further we show that negotiations are possible to avoid a war. The main result is that war breaks out only if the distribution of resources and/or the effectiveness of weapons is sufficiently unequal.     

FOUNDATIONS FOR REGIONAL SECURITY: PREPARING TO KEEP THE PEACE IN SOUTHERN AFRICA

Since the terrorist attacks of 11 September 2001, the continent of Africa, particularly Greater East Africa, has played an increasingly signifi cant role in United States (US) national security strategy. Transnational security threats and political authoritarianism continue to plague the region, creating calls for greater US and international involvement. Before reacting to the situation, however, it is prudent to pause, reflect, and understand that the United States developed strategic relations with nation-states in the region well before contemporary concerns for international terrorism and ungoverned spaces entered the strategic lexicon. Toward a more comprehensive understanding of Greater East Africa's strategic history, this paper examines the core strategic relationship in the region, US-Kenya relations, its origins and implications, and offers policy recommendations that will affect future international security.     

The Finger on the Button

Taiwan's international status is such that the country's ability to trade and to supply certain goods and technologies remains its primary means of practicing diplomacy and asserting international influence. U.S. pressure to conform to international nonproliferation standards has made the issue of export controls a troubling one for Taiwan. Limiting Taiwan's economic relations affects its ability to sustain itself economically and to maintain productive relations with other nations. On the other hand, as a recipient of U.S. high-technology transfers and security assurances, Taiwan cannot ignore the directives of the United States. The article focuses on this dilemma and how a shift in power to the Democratic Progressive Party is affecting Taiwan's choice between placing limitations on its global economic power or risking being cut off from U.S. technology and losing U.S. security assurances. In order to address this challenge properly, Taiwan will need to reassess its fundamental economic and security interests.     

An enterprise portfolio approach for defence capability planning

Capability-based planning (CBP) is considered by many defence organisations to be the best practice for enterprise-level planning, analysis and management. This approach, loosely based around investment portfolio theory, is premised on balancing the cost, benefit and risk of capability options across the defence enterprise. However a number of authors have recently noted limitations of its current applications. The authors propose a more general, insurance-based approach, which can support the evolutionary improvement of the current CBP approach. This approach is implemented as hedging-based planning and aims to better reflect the enterprise nature of defence organisations, capturing both force structure and force generation aspects of military systems.     

Conjectures for framing cyberwarfare

Cyberspace has emerged as a potentially new (and unconventional) domain for warfare. Much debate has focused on understanding cyber conflict. The ability to critically analyse this phenomenon is important; however, the nascent nature of cyberwarfare and the complexity of the systems involved create challenges not met by conventional approaches. As a first step, this requires an analytical construct to frame discussions in a way that highlights distinct characteristics of the cyber domain. An approach proposed is one of the postulating conjectures for debate as a way to achieve this and to demonstrate its use, both at the strategic and operational levels. It is suggested that such an approach provides one component of a mature analytical framework for the analysis of cyber across a range of warfare domains.     

Flexibility and complexity in periodic distribution problems

In this paper, we explore trade‐offs between operational flexibility and operational complexity in periodic distribution problems. We consider the gains from operational flexibility in terms of vehicle routing costs and customer service benefits, as well as the costs of operational complexity in terms of modeling, solution methods, and implementation challenges for drivers and customers. The period vehicle routing problem (PVRP) is a variation of the classic vehicle routing problem in which delivery routes are constructed for a period of time; the PVRP with service choice (PVRP‐SC) extends the PVRP to allow service (visit) frequency to become a decision of the model. For the periodic distribution problems represented by PVRP and PVRP‐SC, we introduce operational flexibility levers and a set of quantitative measures to evaluate the trade‐offs between flexibility and complexity. We develop a Tabu Search heuristic to incorporate a range of operational flexibility options. We analyze the potential value and the increased operational complexity of the flexibility levers. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007