Presentation 2014-01-22
Analysis of Network Topology based on Quantum Field Theory
Takeshi Ozeki, Hiroshi Takahashi, Yosuke Takeda,
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Abstract(in English) One of open questions is what is the reason of the basic difference between physics aiming the minimization of energy of the system and economics maximizing the payoff by managing strategies in game theory. Network externality is understood as its effect that the ground state of mutually connected system decreases in energy than that of isolated constituent particles, where quantum field theory is applied in vacuum. The ground state corresponds to vacuum state where all quasi-particles are dead. In economics, a constituent enterprise, corresponding to an excitation of a quasi-particle, should survive so that the strategy manages to maximize its payoff. We are surprised to find that the sign of mutual connection determines the topology of society: A competitive society having the positive sign results in star topology observed as a monarchy. On the contrary, a society dominated by sympathy having a negative interaction coefficient results in a full-mesh topology observed as a democracy. Economics might have a suitable model analogous to solid state physics when atoms accompanied by electron spins perform mutual interaction in network. Alien-Gale (2000) pointed out that the network externality provides the interbank resilience and Acemoglu (2013) shows randomness accompanied with increase in network size results in a phase transition of default contagion, just as XY-model for a dynamics of a ferromagnetic material. We point out that the network externality has a critical network size just as in dynamics of ferroelectric materials.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Network Externality / Quantum Field Theory / elementary excitation / phase transition / size effect
Paper # OCS2013-92
Date of Issue

Conference Information
Committee OCS
Conference Date 2014/1/16(1days)
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Paper Information
Registration To Optical Communication Systems (OCS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Analysis of Network Topology based on Quantum Field Theory
Sub Title (in English)
Keyword(1) Network Externality
Keyword(2) Quantum Field Theory
Keyword(3) elementary excitation
Keyword(4) phase transition
Keyword(5) size effect
1st Author's Name Takeshi Ozeki
1st Author's Affiliation Faculty of Science and Technology, Sophia University()
2nd Author's Name Hiroshi Takahashi
2nd Author's Affiliation Department of Information and Communication Science, Sophia University
3rd Author's Name Yosuke Takeda
3rd Author's Affiliation Department of Economics, Faculty of Economics, Sophia University
Date 2014-01-22
Paper # OCS2013-92
Volume (vol) vol.113
Number (no) 391
Page pp.pp.-
#Pages 6
Date of Issue