@inproceedings{bf4103067320459c9bbc8a6883a010c7,

title = "Origin of money: Dynamic duality between necessity and unnecessity",

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.",

keywords = "Barter exchange, Heyting algebra, Internal measurement, Multi-agent, Theory of money",

author = "Yuka Tauchi and Moto Kamiura and Taichi Haruna and Gunji, {Yukio Pegio}",

year = "2008",

month = dec,

day = "8",

doi = "10.1063/1.3020678",

language = "English",

isbn = "9780735405790",

series = "AIP Conference Proceedings",

pages = "380--389",

booktitle = "Computing Anticipatory Systems - CASYS'07 - Eighth International Conference",

note = "8th International Conference on Computing Anticipatory Systems, CASYS'07 ; Conference date: 06-08-2007 Through 11-08-2007",

}