Cost sharing solutions defined by non-negative eigenvectors

The problem of sharing a cost M among n individuals, identified by some characteristic ci∈R+,ci∈R+, appears in many real situations. Two important proposals on how to share the cost are the egalitarian and the proportional solutions. In different situations a combination of both distributions provides an interesting approach to the cost sharing problem. In this paper we obtain a family of (compromise) solutions associated to the Perron’s eigenvectors of Levinger’s transformations of a characteristics matrix A. This family includes both the egalitarian and proportional solutions, as well as a set of suitable intermediate proposals, which we analyze in some specific contexts, as claims problems and inventory cost games.

Estimates of genetic parameters and eigenvector indices for milk production of Holstein cows

The objectives of the present study were to estimate genetic parameters of monthly test-day milk yield (TDMY) of the first lactation of Brazilian Holstein cows using random regression (RR), and to compare the genetic gains for milk production and persistency, derived from RR models, using eigenvector indices and selection indices that did not consider eigenvectors. The data set contained monthly TDMY of 3,543 first lactations of Brazilian Holstein cows calving between 1994 and 2011. The RR model included the fixed effect of the contemporary group (herd-month-year of test days), the covariate calving age (linear and quadratic effects), and a fourth-order regression on Legendre orthogonal polynomials of days in milk (DIM) to model the population-based mean curve. Additive genetic and nongenetic animal effects were fit as RR with 4 classes of residual variance random effect. Eigenvector indices based on the additive genetic RR covariance matrix were used to evaluate the genetic gains of milk yield and persistency compared with the traditional selection index (selection index based on breeding values of milk yield until 305 DIM). The heritability estimates for monthly TDMY ranged from 0.12 ± 0.04 to 0.31 ± 0.04. The estimates of additive genetic and nongenetic animal effects correlation were close to 1 at adjacent monthly TDMY, with a tendency to diminish as the time between DIM classes increased. The first eigenvector was related to the increase of the genetic response of the milk yield and the second eigenvector was related to the increase of the genetic gains of the persistency but it contributed to decrease the genetic gains for total milk yield. Therefore, using this eigenvector to improve persistency will not contribute to change the shape of genetic curve pattern. If the breeding goal is to improve milk production and persistency, complete sequential eigenvector indices (selection indices composite with all eigenvectors) could be used with higher economic values for persistency. However, if the breeding goal is to improve only milk yield, the traditional selection index is indicated. © 2013 American Dairy Science Association.

Eigenvector centrality of nodes in multiplex networks

We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type centralities. In addition, we rigorously show that, under reasonable conditions, such centrality measures exist and are unique. Computer experiments and simulations demonstrate that the proposed measures provide substantially different results when applied to the same multiplex structure, and highlight the non-trivial relationships between the different measures of centrality introduced.

The open kimono: How Intel balances trust and power to maintain platform leadership

A small group of companies including Intel, Microsoft, and Cisco have used "platform leadership" with great effect as a means for driving innovation and accelerating market growth within their respective industries. Prior research in this area emphasizes that trust plays a critical role in the success of this strategy. However, many of the categorizations of trust discussed in the literature tend to ignore or undervalue the fact that trust and power are often functionally equivalent, and that the coercion of weaker partners is sometimes misdiagnosed as collaboration. In this paper, I use case study data focusing on Intel's shift from ceramic/wire-bonded packaging to organic/C4 packaging to characterize the relationships between Intel and its suppliers, and to determine if these links are based on power in addition to trust. The case study shows that Intel's platform leadership strategy is built on a balance of both trust and a relatively benevolent form of power that is exemplified by the company's "open kimono" principle, through which Intel insists that suppliers share detailed financial data and highly proprietary technical information to achieve mutually advantageous objectives. By explaining more completely the nature of these inter-firm linkages, this paper usefully extends our understanding of how platform leadership is maintained by Intel, and contributes to the literature by showing how trust and power can be used simultaneously within an inter-firm relationship in a way that benefits all of the stakeholders.

Shaping and re-shaping social capital in buyer-supplier relationships

Social capital plays an important role in explaining how value is created from firms' network relationships, but little is understood about how social capital is shaped over time and how it is re-shaped when firms consolidate their network ties. In response, this study explores the evolution of social capital in buyer–supplier relationships through a case study of a company undertaking radical product innovation, and examines the corresponding changes in the firm's network of buyer–supplier relationships. The analysis shows that social capital is built in a decidedly non-linear and non-uniform manner. The study also reveals considerable interaction among the dimensions of social capital throughout the evolution of the firm's network, and emphasizes the importance of the cognitive dimension—a feature receiving little attention thus far. The evidence shows, too, that efforts to strengthen social capital need to increase when network ties are sacrificed to prevent unintended consequences for firms' longer-term value creation.

Is globalisation an enabler of radical innovation in Toyota?

Prior evidence from the fields of innovation management and supplier relations predicts that Japanese firms should be naturally disadvantaged in developing and deploying radical innovations. But this conclusion is inconsistent with recent developments in the automotive industry. This paper presents secondary case study data focusing on fuel cell powered vehicles and hybrid cars to show that Toyota, one of Japan's largest and most influential corporations, is capable of developing radically new technologies, and is in several respects better at this sort of innovation than the rest of the global automotive industry.

Strategic dalliances as an enabler for discontinuous innovation in slow clockspeed industries: evidence from the oil and gas industry

The concept of ‘strategic dalliances’– defined as non-committal relationships that companies can ‘dip in and out of,’ or dally with, while simultaneously maintaining longer-term strategic partnerships with other firms and suppliers – has emerged as a promising strategy by which organizations can create discontinuous innovations. But does this approach work equally well for every sector? Moreover, how can these links be effectively used to foster the process of discontinuous innovation? Toward assessing the role that industry clockspeed plays in the success or failure of strategic dalliances, we provide case study evidence from Twister BV, an upstream oil and gas technology provider, and show that strategic dalliances can be an enabler for the discontinuous innovation process in slow clockspeed industries. Implications for research and practice are discussed, and conclusions from our findings are drawn.

A proposed role for models and simulations in management research

Overall, computer models and simulations have a rather disappointing record within the management sciences as a tool for predicting the future. Social and market environments can be influenced by an overwhelming number of variables, and it is therefore difficult to use computer models to make forecasts or to test hypotheses concerning the relationship between individual behaviours and macroscopic outcomes. At the same time, however, advocates of computer models argue that they can be used to overcome the human mind's inability to cope with several complex variables simultaneously or to understand concepts that are highly counterintuitive. This paper seeks to bridge the gap between these two perspectives by suggesting that management research can indeed benefit from computer models by using them to formulate fruitful hypotheses.

What the hare can teach the tortoise about make-buy strategies for radical innovations

Purpose of this paper – The purpose of this investigation is to help establish: whether or not strong relationships between suppliers and customers improve performance; and if prescriptive frameworks on outsourcing radical innovations are dependent on industry clockspeed. Design/methodology/approach – A survey of UK-based manufacturers, followed by a statistical analysis. Findings – Long-term supplier links seem not to play a role in the development of radical innovations. Moreover, industry clockspeed has no significant bearing on the success or failure of any outsourcing strategy for radically new technologies. Research limitations/implications – Literature about outsourcing in the face of radical innovation can be more confidently applied to industries of all clockspeeds. Practical implications – Prescriptions for fast clockspeed industries should be applied more broadly: all industries should maintain a high degree of vertical integration in the early days of a radical innovation. Originality/value – Prior papers had explored whether or not a company should outsource radical innovations, but none had determined if this is equally true for slow industries and fast ones. Therein lies the original contribution of this paper.

Make-buy decisions in the face of technological change: does industry clockspeed matter?

Some evidence in the area of make-buy decisions for new technologies suggests that it is a good idea for a company to pursue a fairly rigorous ''make'' policy in the early days of a potentially disruptive innovation. Other studies prescribe exactly the opposite, promoting instead a ''buy'' strategy. This paper seeks to bridge the gap between these perspectives by suggesting that both strategies are valid, but that they are most successfully applied in different market environments. The ''make'' prescription may be more suited to either extremely fast or extremely slow rates of technological change, while a ''buy'' strategy might be more appropriate in market sectors where technologies evolve at a medium pace. This paper highlights the importance of industry clockspeed and supplier relationships in make-buy decisions for new technologies, and puts forward two new hypotheses that require empirical testing.

Outsourcing strategies for radical innovations: does industry clockspeed make a difference?

Purpose – To determine whether or not clockspeed is an important variable in outsourcing strategies throughout the development of radical innovations. Design/methodology/approach – An internet-based survey of manufacturing firms from all over the world. Findings – An industry's clockspeed does not play a significant role in the success or failure of a particular outsourcing strategy for a radical innovation. Research limitations/implications – Conclusions from earlier research in this area are not necessarily industry-specific. Practical implications – Lessons learned via previous investigations about the computer industry need not be confined to that sector. Vertical integration may be a more robust outsourcing strategy when developing a radical innovation in industries of all clockspeeds. Originality/value – Previous research efforts in this field focused on a single technology jump, but this approach may have overlooked a potentially important variable: industry clockspeed. Thus, this investigation explores whether clockspeed is an important factor.

The Long-Term Irrelevance of Trust in Outsourcing Decisions for New Technologies: Insights from an Agent-Based Model

Significant empirical data from the fields of management and business strategy suggest that it is a good idea for a company to make in-house the components and processes underpinning a new technology. Other evidence suggests exactly the opposite, saying that firms would be better off buying components and processes from outside suppliers. One possible explanation for this lack of convergence is that earlier research in this area has overlooked two important aspects of the problem: reputation and trust. To gain insight into how these variables may impact make-buy decisions throughout the innovation process, the Sporas algorithm for measuring reputation was added to an existing agent-based model of how firms interact with each other throughout the development of new technologies. The model�s results suggest that reputation and trust do not play a significant role in the long-term fortunes of an individual firm as it contends with technological change in the marketplace. Accordingly, this model serves as a cue for management researchers to investigate more thoroughly the temporal limitations and contingencies that determine how the trust between firms may affect the R&D process.

When is a spinoff the best way to pursue a radical innovation? Insights from Shell technology ventures

The technology and innovation management literature offers somewhat conflicting evidence with regards to the formation of spinoff companies for radically new technologies. Sometimes spinoffs seem to be a very effective strategy—but not always. An obvious question emerges: under what conditions is a spinoff the best way to pursue a radical technology? This paper sheds light on this question by presenting case study evidence from spinoff firms within the Shell Technology Ventures portfolio. The data point to industry clockspeed as a potentially important variable in the decision to create a spinoff or not.