The private ownership economy with a reduced consumption sphere as an economic mechanism

• Authors: Lipieta Agnieszka
• Languages of publication: EN

Abstracts

EN

Let Ep be a Debreu private ownership economy in which every consumption set is contained in the proper subspace V of the commodity – price space . Two kinds of economic mechanisms, in the sense of Hurwicz, are designed. The goals of the design are, either the modified to the subspace V, producers’ and consumers’ optimal plans (plans maximizing appropriately profits or preferences on the budget sets) which form the state of equilibrium, or the modified to the subspace V production sets. In the presented economic mechanisms, the producers’ maximal profits do not decrease, and also the consumers’ preferences and the budget sets remain unchanged.

Keywords

EN

Debreu economy; complementary commodities; projections; equilibrium

• Publisher: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
• Journal: Mathematical Economics
• Year: 2013
• Issue: 9 (16)
• Pages: 39-54

Contributors

author

Lipieta Agnieszka

References

• Arrow K.J., Intriligator M.D. (eds.) (1987). Handbook of Mathematical Economics. Vol. 3. Amsterdam. North-Holland.
• Cheney E.W. (1966). Introduction to Approximation Theory. McGraw-Hill. New York.
• Debreu G. (1959). Theory of value. New York. Wiley.
• Hurwicz L., Reiter S. (2006). Designing Economic Mechanism. Cambridge University Press. New York.
• Lipieta A. (2010). The Debreu private ownership economy with complementary commodities and prices. Economic Modelling 27. Pp. 22-27.
• Malawski A. (2005). A dynamical system approach to the Arrow – Debreu theory of general equilibrium. The 9th World Multi – Conference on Systemics, Cybernetics, and Informatics Proceedings. Vol. 7. July 10-13. Orlando. Florida. USA.
• Werner J. (2010). Theory of mechanism design. Course Handouts. Warsaw.