Multiagent Systems

of. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 327/731
4. Decision Making (2) 4. Market Mechanisms
Consumers: Consumer i has µ i (x) encoding its
preferences over consumption bundles
x i = [x i1 , ..., x in ] t , where x ig ∈ R + is consumer
i’s allocation of good g. Each consumer also
has an initial endowment e i = [e i1 , ..., e in ] t ∈ R.
Producers: Use some commodities to produce others:
y j = [y j1 , ..., y jn ] t , where y jg ∈ R is the amount
of good g that producer j produces. Y j is a set
of such vectors y.
Profit of producer j: p × y j , where y j ∈ Y j .
Profits: The profits are divided among the consumers
(given predetermined proportions ∆ ij ): ∆ ij is
the fraction of producer j that consumer i
owns (stocks). Profits are divided according to
∆ ij .
µ i