Four questions on the fundamental agreement Sample Clauses

Four questions on the fundamental agreement tradeoff The fundamental agreement tradeoff is a critical component of information gathering and thus an under- standing of the tradeoff is necessary to form a general theory of agreement. To understand the fundamental agreement tradeoff we should answer the four following questions: How much effort (resource expenditure) does an IGI require/expend? How does the number of IGIs affect the accuracy of the information? How does the accuracy of the information impact time to agreement? What is the best point in the tradeoff? The rest of the chapter is focused on answering these questions. We focus on a binary state, static complex graph (BSSC) agreement setting (see Section 3.7) for a number of reasons. First, the setting has been used as a model of many issues, such as the adoption of an innovation or a cultural trait; it also is an important model in physics as it is related to the Ising Spin model. Secondly, this setting is complex enough to produce interesting behavior and provide insight into general complexities while not being overly complex. In particular, there is a significant amount of analytical work based on the binary state space. By using this setting we will be able to leverage this work for a more formal analysis of the fundamental agreement tradeoff. Thirdly, and in part due to the first reason, there is a substantial amount of previous work studying this setting. Settings of this type have been investigated in the domains of physics (the voter model, majority- rule model, etc), multi-agent systems (emergence of norms and conventions etc), and innovation diffusion. This allows us to leverage previous results for greater insight into the fundamental agreement tradeoff. Fourthly, the use of a static and complex interaction graphs is a common assumption in many agreement problems. Several studies have shown that certain types of complex graphs (scale-free and small-world in particular) appear in many different types of data (such as actor collaboration graphs, etc) [Xxxxxxxx, 2001]. The static nature of the graph, however, is not an accurate representation of general social systems – oftentimes the potential for interaction changes with time. However, we assume that the time for an interaction graph to change is far longer than the time it takes for agreement to occur – in which case a static graph is an acceptable approximation. To answer the first question we provide numerous examples of IGIs and an estimate of their effort from a variety of d...
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