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Full-Text Articles in Physical Sciences and Mathematics

On Empirical Validation Of Compactness Measures For Electoral Redistricting And Its Significance For Application Of Models In The Social Science, Christine Chou, Steven O. Kimbrough, Frederic H. Murphy, John Sullivan-Fedock, C. Jason Woodard Apr 2015

On Empirical Validation Of Compactness Measures For Electoral Redistricting And Its Significance For Application Of Models In The Social Science, Christine Chou, Steven O. Kimbrough, Frederic H. Murphy, John Sullivan-Fedock, C. Jason Woodard

C. Jason Woodard

Use of optimization models in science and policy applications is often problematic because the best available models are very inaccurate representations of the originating problems. Such is the case with electoral districting models, for which there exist no generally accepted measures of compactness, in spite of many proposals and much analytical study. This article reports on an experimental investigation of subjective judgments of compactness for electoral districts. The experiment draws on a unique database of 116 distinct, legally valid districting plans for the Philadelphia City Council, discovered with evolutionary computation. Subjects in the experiment displayed, in the aggregate, remarkable agreement …


Architectural Control And Value Migration In Layered Ecosystems: The Case Of Open-Source Cloud Management Platforms, Richard Tee, C. Jason Woodard Jun 2014

Architectural Control And Value Migration In Layered Ecosystems: The Case Of Open-Source Cloud Management Platforms, Richard Tee, C. Jason Woodard

C. Jason Woodard

Our paper focuses on strategic decision making in layered business ecosystems, highlighting the role of cross-layer interactions in shaping choices about product design and platform governance. Based on evidence from the cloud computing ecosystem, we analyze how concerns about architectural control and expectations regarding future value migration influence the design of product interfaces and the degree of openness to external contributions. We draw on qualitative longitudinal data to trace the development of two open-source platforms for managing cloud-based computing resources. We focus in particular on the emergence of a layered "stack" in which these platforms must compete with both vertically …


Strategyproof Mechanisms For Ad Hoc Network Formation, C. Jason Woodard, David C. Parkes Apr 2012

Strategyproof Mechanisms For Ad Hoc Network Formation, C. Jason Woodard, David C. Parkes

C. Jason Woodard

Agents in a peer-to-peer system typically have incentives to influence its network structure, either to reduce their costs or increase their ability to capture value. The problem is compounded when agents can join and leave the system dynamically. This paper proposes three economic mechanisms that offset the incentives for strategic behavior and facilitate the formation of networks with desirable global properties.


Architectural Dualities In Complex Systems: Components, Interfaces, Technologies And Organizations, C. Jason Woodard, Joel West Apr 2012

Architectural Dualities In Complex Systems: Components, Interfaces, Technologies And Organizations, C. Jason Woodard, Joel West

C. Jason Woodard

Research on technological innovation and product development has long recognized the importance of product architecture, and many scholars have explored its relationship to the organizational structure of the product development process. Product architecture, in turn, has long encompassed both the allocation of functionality to components and the pattern of linkages between them. In this paper, we forge new connections among these established ideas by examining them as two pairs of dual relationships. First, we draw attention to the duality between components and interfaces. While innovation and product development researchers have historically emphasized the partitioning of products and systems into components, …


Platform Competition In Digital Systems: Architectural Control And Value Migration, C. Jason Woodard Apr 2012

Platform Competition In Digital Systems: Architectural Control And Value Migration, C. Jason Woodard

C. Jason Woodard

Digital systems give rise to complex layered architectures in which products at one layer serve as platforms for applications and services in adjacent layers. Platform owners face a difficult balancing act. On one hand, they need to make their platforms attractive to potential complementors by mitigating the threat of architectural lock-in. On the other hand, platform owners must be careful not to give away too much too soon, or risk being unable to recoup their own investments. This paper presents an agent-based model that explores this tension at both the firm and industry levels. Computational experiments show that boundedly rational …


Competition In Modular Clusters, Carliss Y. Baldwin, C. Jason Woodard Apr 2012

Competition In Modular Clusters, Carliss Y. Baldwin, C. Jason Woodard

C. Jason Woodard

The last twenty years have witnessed the rise of disaggregated “clusters,” “networks,” or “ecosystems” of firms. In these clusters the activities of R&D, product design, production, distribution, and system integration may be split up among hundreds or even thousands of firms. Different firms will design and produce the different components of a complex artifact (like the processor, peripherals, and software of a computer system), and different firms will specialize in different stages of a complex production process. This paper considers the pricing behavior and profitability of these so-called modular clusters. In particular, we investigate a possibility hinted at in prior …


Architectural Control Points, C. Jason Woodard Apr 2012

Architectural Control Points, C. Jason Woodard

C. Jason Woodard

System designers and technology strategists have long recognized the concept of an architectural control point as a way to identify parts of a system that have particular strategic importance. Despite the vast body of work on system architecture in the engineering design literature, however, few authors have attempted to define architectural control points or study them systematically. Moreover, some industry participants have questioned whether architectural control is still a valuable or achievable goal in an era of increasingly open standards. This paper offers tentative definitions of architectural control, architectural control points, and architectural strategy. In a longer version of the …


Modeling Product Development As A System Design Game, C. Jason Woodard Apr 2012

Modeling Product Development As A System Design Game, C. Jason Woodard

C. Jason Woodard

A system design game is a model of a situation in which agents’ actions determine the structure of a system, which in turn affects the system’s value and the share of value that each agent may capture through bargaining or market competition. This paper describes a class of games in which agents design interdependent products, for example software programs, which may be complements or substitutes for each other. These relationships are epresented by an object called a design structure network (DSN). Depending on the modeler’s choice of allocation rules, agents may benefit from owning critical nodes in the DSN, corresponding …


Modeling Architectural Strategy Using Design Structure Networks, C. Jason Woodard Apr 2012

Modeling Architectural Strategy Using Design Structure Networks, C. Jason Woodard

C. Jason Woodard

System architects face the formidable task of purposefully shaping an evolving space of complex designs. Their task s further complicated when they lack full control of the design process, and therefore must anticipate the behavior of other stakeholders, including the designers of component products and competing systems. This paper presents a conceptual tool called a design structure network (DSN) to help architects and design scientists reason effectively about these situations. A DSN is a graphical representation of a system’s design space. DSNs improve on existing representation schemes by providing a compact and intuitive way to express design options—the ability to …