ENDOGENOUS NETWORKS IN RANDOM POPULATION GAMES

Population learning in dynamic economies traditionally has been studied in contexts where payoff landscapes are smooth. Here, dynamic population games take place over “rugged” landscapes, where agents are uncertain about payoffs from bilateral interactions. Notably, individual payoffs from playing a binary action against everyone else are uniformly distributed over [0, 1]. This random population game leads the population to adapt over time, with agents updating both actions and partners. Agents evaluate payoffs associated to networks thanks to simple statistics of the distributions of payoffs associated to all combinations of actions performed by agents out of the interaction set. Simulations show that: (1) allowing for endogenous networks implies higher average payoff compared to static networks; (2) the statistics used to evaluate payoffs affect convergence to steady-state; and (3) for statistics MIN or MAX, the likelihood of efficient population learning strongly depends on whether agents are change-averse or not in discriminating between options delivering the same expected payoff.

[1]  Alan Kirman,et al.  The economy as an evolving network , 1997 .

[2]  Steven N. Durlauf,et al.  The interactions-based approach to socioeconomic behavior , 2000 .

[3]  J. Oechssler,et al.  Decentralization and the Coordination Problem , 1994 .

[4]  Robert P. Gilles,et al.  Evolution of Conventions in Endogenous Social Networks , 2000 .

[5]  M. Jackson,et al.  original papers : The stability and efficiency of directed communication networks , 2000 .

[6]  H. Young The Economics of Convention , 1996 .

[7]  Nobuyuki Hanaki,et al.  Viability of Cooperation in Evolving Interaction Structures , 2002 .

[8]  M. Nowak,et al.  THE SPATIAL DILEMMAS OF EVOLUTION , 1993 .

[9]  Giorgio Fagiolo,et al.  Spatial Interactions in Dynamic Decentralised Economies: a Review , 1998 .

[10]  J. Johnson,et al.  Interpretation and Coordination in Constitutional Politics , 1998 .

[11]  A V Herz,et al.  Collective phenomena in spatially extended evolutionary games. , 1994, Journal of theoretical biology.

[12]  G. Laan,et al.  Cooperation in a Multi-Dimensional Local Interaction Model , 2000 .

[13]  Evolution of Cooperation with Local Interactions and Imitation , 1998 .

[14]  L. Blume The Statistical Mechanics of Strategic Interaction , 1993 .

[15]  P. Kitcher The Evolution of Human Altruism , 1993 .

[16]  R. Rob,et al.  Learning, Mutation, and Long Run Equilibria in Games , 1993 .

[17]  Glenn Ellison Learning, Local Interaction, and Coordination , 1993 .

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

[19]  D. Hirshleifer,et al.  COOPERATION IN A REPEATED PRISONERS' DILEMMA WITH OSTRACISM , 1989 .

[20]  Giorgio Fagiolo Coordination, Local Interactions, and Endogenous Neighborhood Formation , 2002 .

[21]  Fernando Vega-Redondo,et al.  Migration and the Evolution of Conventions , 2004 .

[22]  Scott E. Page On Incentives and Updating in Agent Based Models , 1997 .

[23]  S. Goyal,et al.  Non-Exclusive Conventions and Social Coordination , 1997 .

[24]  Maxi San Miguel,et al.  Cooperation, Adaptation and the Emergence of Leadership , 2001 .

[25]  L. Tesfatsion,et al.  Preferential partner selection in an evolutionary study of Prisoner's Dilemma. , 1994, Bio Systems.

[26]  M. Jackson,et al.  Networks and groups : models of strategic formation , 2003 .

[27]  Mark D. Smucker,et al.  Iterated Prisoner's Dilemma with Choice and Refusal of Partners: Evolutionary Results , 1995, ECAL.

[28]  Alison Watts,et al.  A Dynamic Model of Network Formation , 2001, Games Econ. Behav..

[29]  M. Nowak,et al.  MORE SPATIAL GAMES , 1994 .

[30]  T. Dieckmann The evolution of conventions with mobile players , 1999 .

[31]  W. Hamilton,et al.  The evolution of cooperation. , 1984, Science.

[32]  B Skyrms,et al.  A dynamic model of social network formation. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[33]  Michael Taylor The possibility of cooperation , 1987 .

[34]  Mark D. Smucker,et al.  Analyzing Social Network Structures in the Iterated Prisoner's Dilemma with Choice and Refusal , 1995, adap-org/9501002.

[35]  William A. Brock,et al.  Discrete Choice with Social Interactions , 2001 .

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

[37]  Sanjeev Goyal,et al.  Learning, Network Formation and Coordination , 2000 .

[38]  Matthew O. Jackson,et al.  The Evolution of Social and Economic Networks , 2002, J. Econ. Theory.

[39]  M. Jackson,et al.  The stability and efficiency of directed communication networks , 2000 .

[40]  M. Oliphant Evolving cooperation in the non-iterated prisoner''s dilemma , 1994 .

[41]  Stuart A. Kauffman,et al.  ORIGINS OF ORDER , 2019, Origins of Order.

[42]  A. Shaked,et al.  Evolution and Endogenous Interactions , 1994 .

[43]  Giorgio Fagiolo,et al.  Endogenous neighborhood formation in a local coordination model with negative network externalities , 2005 .

[44]  H. Young Individual Strategy and Social Structure , 2020 .