The Exact Solution of Spatial Logit Response Games

Logit response games with spatial structures are exactly solved. We exactly derive the probability that a player choose a strategy, the correlation function of strategies of distant players, and the expected utility.

[1]  西森 秀稔,et al.  Elements of Phase Transitions and Critical Phenomena , 2011 .

[2]  Tomohiko Konno,et al.  A Condition for Cooperation in a Game on Complex Networks , 2010, Journal of theoretical biology.

[3]  Edouard Brézin,et al.  Introduction to Statistical Field Theory , 2010 .

[4]  Jacques-François Thisse,et al.  Economic Geography: The Integration of Regions and Nations , 2008 .

[5]  Moshe Levy,et al.  Stock market crashes as social phase transitions , 2008 .

[6]  Sheng-Kai Chang,et al.  A simple asset pricing model with social interactions and heterogeneous beliefs , 2007 .

[7]  Giulio Zanella,et al.  Discrete Choice with Social Interactions and Endogenous Memberships , 2007 .

[8]  Yannis M. Ioannides Topologies of social interactions , 2006 .

[9]  S. Durlauf Chapter 50 – Neighborhood Effects , 2004 .

[10]  C. Timmins,et al.  A Note on the Equilibrium Properties of Locational Sorting Models , 2003 .

[11]  K. Train Discrete Choice Methods with Simulation , 2003 .

[12]  Jacques-François Thisse,et al.  Economics of Agglomeration: Cities, Industrial Location, and Regional Growth , 2002 .

[13]  Nikolaus Hautsch,et al.  Estimating the Neighborhood Influence on Decision Makers: Theory and an Application on the Analysis of Innovation Decisions , 2003 .

[14]  Katarzyna Sznajd-Weron,et al.  Opinion evolution in closed community , 2000, cond-mat/0101130.

[15]  A. Venables,et al.  The Spatial Economy: Cities, Regions, and International Trade , 2000 .

[16]  J. Lebowitz,et al.  CRITICAL DROPLETS IN METASTABLE STATES OF PROBABILISTIC CELLULAR AUTOMATA , 1998, cond-mat/9810077.

[17]  P. Krugman,et al.  The Spatial Economy , 1999 .

[18]  T. Lux Time variation of second moments from a noise trader/infection model , 1997 .

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

[20]  T. Lux Herd Behaviour, Bubbles and Crashes , 1995 .

[21]  Simon P. Anderson,et al.  Discrete Choice Theory of Product Differentiation , 1995 .

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

[23]  Wolfgang Weidlich,et al.  Physics and social science — The approach of synergetics , 1991 .

[24]  J. Laurie Snell,et al.  Markov Random Fields and Their Applications , 1980 .

[25]  F. Kelly Reversibility and Stochastic Networks , 1980 .

[26]  H. Föllmer Random economies with many interacting agents , 1974 .

[27]  鈴木 増雄 Time-Dependent Statistics of the Ising Model , 1965 .

[28]  Hiroshi Ichimura,et al.  Statistical mechanics,: An advanced course with problems and solutions , 1965 .

[29]  R. Glauber Time‐Dependent Statistics of the Ising Model , 1963 .

[30]  R. Duncan Luce,et al.  Individual Choice Behavior , 1959 .

[31]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[32]  E. Ising Beitrag zur Theorie des Ferromagnetismus , 1925 .