The Law of the Few

Empirical work shows that a large majority of individuals get most of their information from a very small subset of the group, viz., the influencers; moreover, there exist only minor differences between the observable characteristics of the influencers and the others. We refer to these empirical findings as the Law of the Few. This paper develops a model where players personally acquire information and form connections with others to access their information. Every (robust) equilibrium of this model exhibits the law of the few. (JEL D83, D85, Z13)

[1]  P. Lazarsfeld,et al.  Personal Influence: The Part Played by People in the Flow of Mass Communications , 1956 .

[2]  P. Lazarsfeld,et al.  6. Katz, E. Personal Influence: The Part Played by People in the Flow of Mass Communications , 1956 .

[3]  P. Lazarsfeld,et al.  Personal Influence: The Part Played by People in the Flow of Mass Communications , 1956 .

[4]  P. Lazarsfeld,et al.  The People's Choice: How the Voter Makes Up His Mind in a Presidential Campaign , 1968 .

[5]  J. Hirshleifer From weakest-link to best-shot: The voluntary provision of public goods , 1983 .

[6]  H. Varian,et al.  On the private provision of public goods , 1986 .

[7]  Linda L. Price,et al.  The market maven: A diffuser of marketplace information. , 1987 .

[8]  G. Harrison,et al.  An Experimental Evaluation of Weakest Link/Best Shot Models of Public Goods , 1989, Journal of Political Economy.

[9]  J. Kelly,et al.  HIV risk behavior reduction following intervention with key opinion leaders of population: an experimental analysis. , 1991, American journal of public health.

[10]  Mark E. Slama,et al.  Market mavens′ purchase decision evaluative criteria: implications for brand and store promotion efforts , 1995 .

[11]  M. Jackson,et al.  A Strategic Model of Social and Economic Networks , 1996 .

[12]  Sanjeev Goyal,et al.  A Noncooperative Model of Network Formation , 2000 .

[13]  Andrew Parker,et al.  Knowing What We Know: Supporting Knowledge Creation and Sharing in Social Networks , 2001 .

[14]  G. Breeuwsma Geruchten als besmettelijke ziekte. Het succesverhaal van de Hush Puppies. Bespreking van Malcolm Gladwell, The tipping point. How little things can make a big difference. London: Little, Brown and Company, 2000 , 2000 .

[15]  Eytan Adar,et al.  Free Riding on Gnutella , 2000, First Monday.

[16]  J. Hampton,et al.  The people's choice. , 2001, Plastic surgical nursing : official journal of the American Society of Plastic and Reconstructive Surgical Nurses.

[17]  Gianfranco Walsh,et al.  The Mannmaven: an agent for diffusing market information , 2001 .

[18]  Oz Shy,et al.  Markets for Information , 2001 .

[19]  R. Cross,et al.  The people who make organizations go--or stop. , 2002, Harvard business review.

[20]  R. Huckfeldt,et al.  The Social Calculus of Voting: Interpersonal, Media, and Organizational Influences on Presidential Choices , 2002, American Political Science Review.

[21]  Sanjeev Goyal,et al.  Social Interaction in Anti-Coordination Games , 2002 .

[22]  Matthew O. Jackson,et al.  On the formation of interaction networks in social coordination games , 2002, Games Econ. Behav..

[23]  Thomas W Valente,et al.  Effects of a social-network method for group assignment strategies on peer-led tobacco prevention programs in schools. , 2003, American journal of public health.

[24]  Yves Zenou,et al.  Working Paper No . 601 , 2003 Social Networks and Crime Decisions : The Role of Social Structure in Facilitating Delinquent Behavior , 2003 .

[25]  A. Galeotti One-Way Flow Networks: The Role of Heterogeneity , 2004 .

[26]  Andrew Parker,et al.  The Hidden Power of Social Networks: Understanding How Work Really Gets Done in Organizations , 2004 .

[27]  Éva Tardos,et al.  Network games , 2004, STOC '04.

[28]  R. Huckfeldt,et al.  Political Disagreement: The Survival of Diverse Opinions within Communication Networks , 2004 .

[29]  D. Meadows-Klue The Tipping Point: How Little Things Can Make a Big Difference , 2004 .

[30]  Sanjeev Goyal,et al.  Network formation and anti-coordination games , 2004, Int. J. Game Theory.

[31]  Steve W. Edison,et al.  Market Mavens' Attitudes Towards General Technology: Implications for Marketing Communications , 2005 .

[32]  Sanjeev Goyal,et al.  Network Formation and Social Coordination , 2003, Games Econ. Behav..

[33]  R. Kranton,et al.  Strategic Experimentation in Networks , 2005 .

[34]  Sanjeev Goyal,et al.  Network Formation with Heterogeneous Players , 2002, Games Econ. Behav..

[35]  Daniel A. Hojman,et al.  Core and Periphery in Endogenous Networks , 2006 .

[36]  A. Cabrales,et al.  Markets for Information: Of Ine¢ cient Firewalls and E¢ cient Monopolies , 2007 .

[37]  Yann Bramoullé,et al.  Public goods in networks , 2007, J. Econ. Theory.

[38]  Yves Zenou,et al.  Effort and synergies in network formation , 2007 .

[39]  Matthew O. Jackson,et al.  The Formation of Networks with Transfers Among Players , 2004, J. Econ. Theory.

[40]  Brian W. Rogers,et al.  Meeting Strangers and Friends of Friends: How Random are Social Networks? , 2007 .

[41]  Mark S. Ackerman,et al.  Expertise networks in online communities: structure and algorithms , 2007, WWW '07.

[42]  Daniel A. Hojman,et al.  Core and periphery in networks , 2008, J. Econ. Theory.

[43]  A. Cabrales,et al.  Social Interactions and Spillovers: Incentives,Segregation and Topology , 2009 .

[44]  Francis Bloch,et al.  Communication networks with endogenous link strength , 2009, Games Econ. Behav..

[45]  L. Dall'Asta,et al.  Optimal Equilibria of the Best Shot Game , 2009, 1002.3572.

[46]  Myeonghwan Cho Endogenous formation of networks for local public goods , 2010, Int. J. Game Theory.

[47]  Mihaela van der Schaar,et al.  A Game Theoretic Analysis of Incentives in Content Production and Sharing Over Peer-to-Peer Networks , 2009, IEEE Journal of Selected Topics in Signal Processing.

[48]  Chrysanthos Dellarocas,et al.  Media, Aggregators and the Link Economy: Strategic Hyperlink Formation in Content Networks , 2010 .

[49]  Camille Roth,et al.  Connections: An Introduction to the Economics of Networks by Sanjeev Goyal , 2010, J. Artif. Soc. Soc. Simul..

[50]  Vincent Buskens,et al.  Coordination and Cooperation Problems in Network Good Production , 2010, Games.

[51]  Yves Zenou,et al.  Nestedness in Networks: A Theoretical Model and Someapplications , 2012 .