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Critical Mass and Willingness to Pay for Social Networks
Speaker: Professor Chris WESTLAND Head, Department of Information & Decision Sciences University of Illinois - Chicago Title: "Critical Mass and Willingness to Pay for Social Networks" Date: Friday, 20 February, 2009 Time: 2:00pm - 3:00pm Venue: Room 1504 (near lift nos. 25/26) HKUST Abstract: Disagreement surrounds the formal definitions of ?critical mass? and of the economic willingness to pay for membership in a social network. The current paper adapts work from percolation theory to analyze the structure of social networks, and draws an analogy for critical mass in social networks to the concept of phase changes in materials. We show how network growth can be actively managed, and define how to manage the willingness to pay for membership. We show, if achieving a critical mass of members in a social network is our objective, that prior to achieving critical mass, (1) the probability of accepting an invitation p must vary inversely with individuals? breadth of contacts; and (2) the number of special interest groups of any size s will decrease exponentially in s until immediately below critical mass. Targeted invitations facilitated through sophisticated programs such as AdWords, IndexTools and Google Analytics can help to actively maximize probability of accepting an invitation. Our model defines a willingness to pay for network membership (i.e., a network effect) that is nearly zero below critical mass, and is an involved function of p above critical mass whose shape appears to be close to a logarithmic function. ********************************************************************** Details biogparhy is available at http://uic.edu/~westland/ for details.