| 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 Japanese) | (See Japanese page) |
| 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 |
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| Conference Information | |
| Committee | OCS |
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| Conference Date | 2014/1/16(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Optical Communication Systems (OCS) |
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| 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 | |