Econophysics of Income and Wealth Distributions

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Contents; Preface; 1 Introduction; 2 Income and wealth distribution data for different countries; 2.1 What are money, wealth and income?; 2.2 Analyses using data from earlier periods; 2.3 Analyses using data from recent periods; 2.4 Measures of income inequality: Gini coefficient and Lorenz curve; 3 Major socioeconomic modelling; 3.1 Models of income distribution; 3.2 Models of wealth distribution; 3.2.1 Lotka-Volterra models; 3.2.2 The Bouchaud-Mezard and related models; 3.2.3 Models for evolving society; 3.2.4 Models of wealth distribution with a risk aversion factor

3.2.5 Asset exchange models3.3 Statistical equilibrium theory of markets; 4 Market exchanges and scattering process; 4.1 Gas-like models; 4.1.1 Model with uniform savings; 4.1.2 Model with distributed savings; 4.1.3 Model with `annealed' savings; 4.1.4 Further studies; 4.1.5 Dynamics of agents; 4.2 Models with commodity; 4.2.1 Ideal-gas trading market in the presence of a non-consumable commodity; 4.2.2 Self-organizing model with single commodity; 4.2.3 Another model with commodity; 4.3 Models on networks; 4.3.1 Models on directed networks

4.3.2 Preferential transactions and weighted trade network4.4 Models with debt; 4.5 Models with tax; 4.6 Other related models; 4.6.1 Inelastic scattering in an open economy; 4.6.2 A threshold-induced phase transition in the kinetic exchange models; 5 Analytic structure of the kinetic exchange market models; 5.1 Analytic results for the CC model; 5.1.1 Does the CC model produce gamma distribution?; 5.1.2 Upper bound form at low wealth range; 5.1.3 The gas model analogy; 5.2 Analytic results for the CCM model; 5.2.1 Distribution of money difference; 5.2.2 Master equation and its analysis

5.2.3 A transition matrix formalism5.2.4 Entropy maximization in a heterogeneous system; 5.3 Analytic results for other models; 5.3.1 Autoregressive models and non-conservative form; 5.3.2 Analytic structure of Slanina's model; 5.3.3 Another generalized approach to the kinetic exchange models; 6 Microeconomic foundation of the kinetic exchange models; 6.1 Derivation of the basic kinetic exchange model; 6.1.1 Random exchange; 6.1.2 Exchange with savings; 6.2 Production of a vector of commodities; 6.3 A generalized version of the CC model; 6.4 Inequality reversal; 6.5 Global market

6.6 Steady-state distribution of money and price6.7 Discussion; 7 Dynamics: generation of income, inequality and development; 7.1 The economic significance; 7.2 Analysis of income distributions; 7.3 Analysis of wealth distributions; 8 Outlook; 8.1 Chapters in a nutshell; 8.2 Beyond income and wealth; 8.2.1 Probability distribution of energy consumption; 8.2.2 Kinetic models of opinion formation; 8.3 Open problems and challenges; References; Index;

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