Kinetic exchange models of wealth distribution: microscopic dynamics
Some kinetic exchange models of wealth distribution are introduced. The distribution of wealth gained or lost after reaching equilibrium for the agents in these models shows that it depends strongly on the saving factor. The sequence of gains and losses of individual agents are mapped onto a walk in an abstract space. From the analysis of the walk, the probability of gain or loss is obtained as a function of the saving factors of the interacting agents. In general, an agent is likely to gain when she interacts with a richer agent. Another intriguing feature in these models is the antipersistent effect in the dynamics which implies the tendency of agents to make a gain immediately after a loss and vice versa. Some exact results for the zero saving case are derived.