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Symmetric Nash equilibrium of political polarization in a two-party system

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  • Kim, Jonghoon
  • Jeong, Hyeong-Chai
  • Baek, Seung Ki

Abstract

The median-voter hypothesis (MVH) predicts convergence of two party platforms across a one-dimensional political spectrum during majoritarian elections. From the viewpoint of the MVH, an explanation of polarization is that each election has a different median voter so that a party cannot please all the median voters at the same time. We consider two parties competing to win voters along a one-dimensional spectrum and assume that each party nominates one candidate out of two in the primary election, for which the electorates represent only one side of the whole population. We argue that all the four candidates will come to the same distance from the median of the total population through best-response dynamics.

Suggested Citation

  • Kim, Jonghoon & Jeong, Hyeong-Chai & Baek, Seung Ki, 2022. "Symmetric Nash equilibrium of political polarization in a two-party system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    • Handle: RePEc:eee:phsmap:v:607:y:2022:i:c:s0378437122007658
    DOI: 10.1016/j.physa.2022.128207
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    References listed on IDEAS

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    1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    2. Galam, Serge, 2021. "Will Trump win again in the 2020 election? An answer from a sociophysics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    3. Baek, Seung Ki & Kim, Jonghoon & Lee, Song Sub & Jo, Woo Seong & Kim, Beom Jun, 2020. "Co-sponsorship analysis of party politics in the 20th National Assembly of Republic of Korea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    4. George Boyne, 1987. "Median voters, political systems and public policies: An empirical test," Public Choice, Springer, vol. 53(3), pages 201-219, January.
    5. Samuel S. -H. Wang & Jonathan Cervas & Bernard Grofman & Keena Lipsitz, 2021. "A systems framework for remedying dysfunction in U.S. democracy," Papers 2106.11901, arXiv.org, revised Aug 2021.
    6. Grose, Christian R., 2020. "Reducing Legislative Polarization: Top-Two and Open Primaries Are Associated with More Moderate Legislators," Journal of Political Institutions and Political Economy, now publishers, vol. 1(2), pages 267-287, June.
    7. Eric McGhee & Seth Masket & Boris Shor & Steven Rogers & Nolan McCarty, 2014. "A Primary Cause of Partisanship? Nomination Systems and Legislator Ideology," American Journal of Political Science, John Wiley & Sons, vol. 58(2), pages 337-351, April.
    8. Cardoso, M. & Mendes, R.S. & Souza, J.T.G. & Ribeiro, H.V., 2020. "Gender difference in candidature processes for Brazilian elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    9. Hirschel Kasper, 1971. "On political competition, economic policy, and income maintenance programs," Public Choice, Springer, vol. 10(1), pages 1-19, March.
    10. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    11. Böttcher, Lucas & Montealegre, Pedro & Goles, Eric & Gersbach, Hans, 2020. "Competing activists—Political polarization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    12. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    13. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, October.
    14. Grose, Christian R., 2020. "Reducing Legislative Polarization: Top-Two and Open Primaries Are Associated with More Moderate Legislators," Journal of Political Institutions and Political Economy, now publishers, vol. 1(2), pages 267-287, June.
    15. Dixit, Avinash & Weibull, Jörgen, 2006. "Political Polarization," SSE/EFI Working Paper Series in Economics and Finance 655, Stockholm School of Economics, revised 19 Apr 2007.
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