Table 1 The application of the Ising model in financial market
From: Opinion dynamics in finance and business: a literature review and research opportunities
| Opinion expression format | Networks | Characteristics | References |
|---|---|---|---|
| Binary | Lattice | Bubbles/crashes | Kaizoji (2000), Johansen et al. (2000), Bornholdt (2001), Kaizoji et al. (2002), Zhou and Sornette (2007), Sornette and Zhou (2006) and Crescimanna and Di Persio (2016) |
| Fluctuation | Silva and Stauffer (2001), Fang and Wang (2013) and Zhang et al. (2019) | ||
| Correlations | Wang (2009) and Takaishi (2016) | ||
| Boundary conditions | Fang and Wang (2012a) | ||
| Bifurcations | Fang and Wang (2012b) and Smug et al. (2018) | ||
| Time series | Takaishi (2015) | ||
| Multi-Asset | Eckrot et al (2016) and Takaishi (2017) | ||
| One dimensional lattice | Fluctuation | Inagaki (2004) | |
| No specific topology | Bubbles/Crashes | Chowdhury and Stauffer (1999), Vangheli and Ardelean (2000), Krawiecki et al. (2002), Krawiecki and Hołyst (2003) and Krawiecki (2005) | |
| Time series | Zhao et al. (2018a) | ||
| Fluctuation | Kaizoji (2006) and Lima (2017) | ||
| Financial return series | Ko et al. (2016) | ||
| Modularity | Kim et al. (2012) | ||
| Small-world network | Fluctuation | Zhang et al. (2015) and Zhang and Li (2015) | |
| Scale-free network | Bubbles | Krawiecki (2009) | |
| Cayley tree | Stability of money | Bornholdt and Wagner (2002) | |
| 3D | Fluctuation | Fang et al. (2016) | |
| Continuous | No specific topology | Bubbles and crashes | Horvath et al. (2016) |