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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)