Origin of money

Dynamic duality between necessity and unnecessity

Yuka Tauchi, Moto Kamiura, Taichi Haruna, Yukio Gunji

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose a mathematical model of economic agents to study origin of money. This multi-agent model is based on commodity theory of money, which says that a commodity used as money emerges from barter transaction. Each agent has a different value system which is given by a Heyting algebra, and exchanges one's commodities based on the value system. In each value system, necessity and unnecessity of commodities are expressed by some elements and their compliments on a Heyting Algebra. Moreover, the concept of the compliment is extended. Consequently, the duality of the necessity-unnecessity is weakened, and the exchanges of the commodities are promoted. The commodities which keeps being exchanged for a long time can correspond to money.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages380-389
Number of pages10
Volume1051
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event8th International Conference on Computing Anticipatory Systems, CASYS'07 - Liege
Duration: 2007 Aug 62007 Aug 11

Other

Other8th International Conference on Computing Anticipatory Systems, CASYS'07
CityLiege
Period07/8/607/8/11

Fingerprint

commodities
algebra
economics
mathematical models

Keywords

  • Barter exchange
  • Heyting algebra
  • Internal measurement
  • Multi-agent
  • Theory of money

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Tauchi, Y., Kamiura, M., Haruna, T., & Gunji, Y. (2008). Origin of money: Dynamic duality between necessity and unnecessity. In AIP Conference Proceedings (Vol. 1051, pp. 380-389) https://doi.org/10.1063/1.3020678

Origin of money : Dynamic duality between necessity and unnecessity. / Tauchi, Yuka; Kamiura, Moto; Haruna, Taichi; Gunji, Yukio.

AIP Conference Proceedings. Vol. 1051 2008. p. 380-389.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tauchi, Y, Kamiura, M, Haruna, T & Gunji, Y 2008, Origin of money: Dynamic duality between necessity and unnecessity. in AIP Conference Proceedings. vol. 1051, pp. 380-389, 8th International Conference on Computing Anticipatory Systems, CASYS'07, Liege, 07/8/6. https://doi.org/10.1063/1.3020678
Tauchi Y, Kamiura M, Haruna T, Gunji Y. Origin of money: Dynamic duality between necessity and unnecessity. In AIP Conference Proceedings. Vol. 1051. 2008. p. 380-389 https://doi.org/10.1063/1.3020678
Tauchi, Yuka ; Kamiura, Moto ; Haruna, Taichi ; Gunji, Yukio. / Origin of money : Dynamic duality between necessity and unnecessity. AIP Conference Proceedings. Vol. 1051 2008. pp. 380-389
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