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 language | English |
|---|---|
| Title of host publication | AIP Conference Proceedings |
| Pages | 380-389 |
| Number of pages | 10 |
| Volume | 1051 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
| Event | 8th International Conference on Computing Anticipatory Systems, CASYS'07 - Liege Duration: 2007 Aug 6 → 2007 Aug 11 |
Other
| Other | 8th International Conference on Computing Anticipatory Systems, CASYS'07 |
|---|---|
| City | Liege |
| Period | 07/8/6 → 07/8/11 |
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Keywords
- Barter exchange
- Heyting algebra
- Internal measurement
- Multi-agent
- Theory of money
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Origin of money
T2 - Dynamic duality between necessity and unnecessity
AU - Tauchi, Yuka
AU - Kamiura, Moto
AU - Haruna, Taichi
AU - Gunji, Yukio
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - Barter exchange
KW - Heyting algebra
KW - Internal measurement
KW - Multi-agent
KW - Theory of money
UR - http://www.scopus.com/inward/record.url?scp=57049114798&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=57049114798&partnerID=8YFLogxK
U2 - 10.1063/1.3020678
DO - 10.1063/1.3020678
M3 - Conference contribution
AN - SCOPUS:57049114798
SN - 9780735405790
VL - 1051
SP - 380
EP - 389
BT - AIP Conference Proceedings
ER -