Linear Transformation of Products: Games and Economies

Tilburg University, CentER Discussion Paper Series No. 1998-76

Posted: 27 Sep 1999

See all articles by Judith Timmer

Judith Timmer

University of Twente - Department of Applied Mathematics

Peter Borm

Tilburg University - Center for Economic Research (CentER); Tilburg University - Department of Econometrics & Operations Research

Jeroen Suijs

Erasmus University Rotterdam (EUR) - Erasmus School of Economics (ESE)

Date Written: 1998

Abstract

In this paper we introduce situations involving the linear transformation of products, in short: LTP situations. LTP situations are production situations where each producer has a single linear transformation technique. We show that the corresponding LTP games are totally balanced. Next, we relate LTP situations to exchange economies in two different ways and we prove the existence of an equilibrium in these economies. Finally, we extend the LTP situation to one where a producer may have more than one linear transformation technique. We show that each totally balanced game with nonnegative values is an extended LTP game.

JEL Classification: C71

Suggested Citation

Timmer, Judith and Borm, Peter E. M. and Suijs, Jeroen, Linear Transformation of Products: Games and Economies (1998). Tilburg University, CentER Discussion Paper Series No. 1998-76, Available at SSRN: https://ssrn.com/abstract=166466

Judith Timmer

University of Twente - Department of Applied Mathematics ( email )

P.O. Box 217
7500 AE Enschede
Netherlands

Peter E. M. Borm (Contact Author)

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Tilburg University - Department of Econometrics & Operations Research

Tilburg, 5000 LE
Netherlands

Jeroen Suijs

Erasmus University Rotterdam (EUR) - Erasmus School of Economics (ESE) ( email )

P.O. Box 1738
3000 DR Rotterdam, NL 3062 PA
Netherlands

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