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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 10: Mikro-ökonomische Modelle und Multi-Agenten-Systeme

AKSOE 10.5: Vortrag

Donnerstag, 11. März 2004, 16:30–17:00, H8

Fair or not fair? That is the question! – An Investigation based on a System of a Network of Trading Agents — •Elena Ramirez Barrios, Juan G. Diaz O. und Johannes J. Schneider — Institute for Physics, Johannes Gutenberg University, Staudinger Weg 7, D-55099 Mainz, Germany

Imagine an economy with a finite number of agents, each owning an initial allocation of a finite number of commodities. There is no production, and a price system is given. The agents choose the best net trades according to their preferences, which are maximal in the limited budget sets the agents have. This results in an equilibrium under optimal conditions. In this equilibrium, we can find properties such as fairness, following the fact that all agents have the same trading possibilities and the same access to the entire set of commodities. A net trade is fair for any agent i, if no other agent j can perform a better net trade than possible for agent i, according to the preference list of agent i and according to his budget set. Usually, only a normative meaning and a low measurability of fairness are considered, as the concept of fairness is very difficult to describe in an exact mathematical way. On the other hand, the concept of fairness has occupied a good place in the political decisions trying to improve the social welfare. However, with mathematical methods, we try to simulate the economical agents’ behaviors and measure the fairness in this system, finding a trend behavior such that their improved actions result in a justice horizon as suggested by the first and second welfare theorems.