Abstract
Using the Generalized Lotka Volterra model adapted to deal with mutiagent systems we can investigate economic systems from a general viewpoint and obtain generic features common to most economies. Assuming only weak generic assumptions on capital dynamics, we are able to obtain very specific predictions for the distribution of social wealth. First, we show that in a 'fair' market, the wealth distribution among individual investors fulfills a power law. We then argue that 'fair play' for capital and minimal socio-biological needs of the humans traps the economy within a power law wealth distribution with a particular Pareto exponent α ∼ 3/2. In particular, we relate it to the average number of individuals L depending on the average wealth: α ∼ L/(L-1). Then we connect it to certain power exponents characterizing the stock markets. We find that the distribution of volumes of the individual (buy and sell) orders follows a power law with similar exponent β ∼ α ∼ 3/2. Consequently, in a market where trades take place by matching pairs of such sell and buy orders, the corresponding exponent for the market returns is expected to be of order γ ∼ 2α ∼ 3. These results are consistent with recent experimental measurements of these power law exponents (S. Maslov, M. Mills, Physica A 299 (2001) 234 for β P. Gopikrishnan et al., Phys. Rev. E 60 (1999) 5305 for γ).
Original language | English |
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Pages (from-to) | 188-197 |
Number of pages | 10 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 299 |
Issue number | 1-2 |
DOIs | |
State | Published - 1 Oct 2001 |
Event | Application of Physics in Economic Modelling (NATO ARW) - Prague, Czech Republic Duration: 8 Feb 2001 → 10 Feb 2001 |
Keywords
- Lotka-Volterra
- Market returns
- Pareto-Zipf
- Power law
- Random multiplicative process
- Wealth distribution