참고문헌
- 김혜경, 박준표 (2009). 일반화된 분수 지배게임에 대한 균형성. <한국데이터정보과학회지>, 20, 49-55.
- 오창혁 (2010). 윷놀이와 확률. <한국데이터정보과학회지>, 21, 719-727.
- 이지연 (2009). 집단 파론도 게임의 최적 전략. <한국데이터정보과학회지>, 20, 973-982.
- Abbott, D. (2010). Asymmetry and disorder: A decade of Parrondo's paradox. Fluctuation Noise Letters, 9, 129-156. https://doi.org/10.1142/S0219477510000010
- Dinis, L. and Parrondo, J. M. R. (2003). Optimal strategies in collective Parrondo games. Europhysics Letters, 63, 319-325. https://doi.org/10.1209/epl/i2003-00461-5
- Dinis, L. and Parrondo, J. M. R. (2004). Inefficiency of voting in Parrondo games. Physica A, 343, 701-711. https://doi.org/10.1016/j.physa.2004.06.076
- Epstein, R. A. (2007). Parrondo's principle: An overview. In Optimal Play: Mathematical Studies of Games and Gambling, edited by S. N. Ethier and W. R. Eadington, 471-492, Institute for the Study of Gambling and Commercial Gaming, University of Nevada, Reno.
- Ethier, S. N. (2007). Markov Chains and Parrondo's Paradox. In Optimal Play: Mathematical Studies of Games and Gambling, edited by S. N. Ethier and W. R. Eadington, 493-506, Institute for the Study of Gambling and Commercial Gaming, University of Nevada, Reno.
- Ethier, S. N. and Lee, J. (2009). Limit theorems for Parrondo's paradox. Electronic Journal of Probability, 14, 1827-1862. https://doi.org/10.1214/EJP.v14-684
- Ethier, S. N. and Lee, J. (2011). A discrete dynamical system for the greedy strategy at collective Parrondo games, Dynamical Systems: An International Journal, (to appear).
- Kay, R. J. and Johnson, N. F. (2003). Winning combinations of history-dependent games, Physical Review E, 67, 056128. https://doi.org/10.1103/PhysRevE.67.056128
- Kim, H. K. and Lee, D.-S. (2007). Characterizations of the cores of integer total domination games. Journal of the Korean Data & Information Science Society, 18, 1115-1121.
- Parrondo, J. M. R. (1996). How to cheat a bad mathematician. In EEC HC&M Network on Complexity and Chaos, Institute for Scientific Interchange Foundation, Torino, Italy.
- Parrondo, J. M. R., Harmer, G. P. and Abbott, D. (2000). New paradoxical games based on Brownian ratchets. Physical Review Letters, 85, 5226-5229. https://doi.org/10.1103/PhysRevLett.85.5226
- Parrondo, J. M. R., Dinis, L., Garcia-Torano, E. and Sotillo, B. (2007). Collective decision making and paradoxical games. European Physical Journal Special Topics, 143, 39-46. https://doi.org/10.1140/epjst/e2007-00068-0
- Van den Broeck, C. and Cleuren, B. (2004). Parrondo games with strategy. In Noise in Complex Systems and Stochastic Dynamics II. SPIE, edited by Z. Gingl, J. M. Sancho, L. Schimansky-Geier and J. Kertesz, 109-118, Bellingham, WA.