Winner-Take-All Games: The Strategic Optimisation of Rank

References

• Anderson E (2012) Ranking games and gambling: When to quit when you’re ahead. Oper. Res. 60(5):1229–1244.Link, Google Scholar
• Apicella T (2013) Strategic maximisation of discrete distributional fixed mean ranking games. Master’s thesis, University of Warwick, Coventry, UK.Google Scholar
• Bell R, Cover TM (1988) Game-theoretic optimal portfolios. Management Sci. 34(6):724–733.Link, Google Scholar
• Bell RM, Cover TM (1980) Competitive optimality of logarithmic investment. Math. Oper. Res. 5(2):161–166.Link, Google Scholar
• Gerchak Y, Kilgour DM (1993) Sequential competitions with nondecreasing levels of difficulty. Oper. Res. Lett. 13(1):49–58.Crossref, Google Scholar
• Goldberg LA, Goldberg PW, Krysta P, Ventre C (2013) Ranking games that have competitiveness-based strategies. Theoret. Comput. Sci. 476:24–37.Crossref, Google Scholar
• Karlin S (1959) The Theory of Infinite Games, Addison-Wesley Series in Statistics (Addison-Wesley, Reading, MA).Google Scholar
• Owen G (2013) Game Theory, fourth edition (Emerald Group Publishing, Bingley, UK).Google Scholar
• Pinelis I (2009) Optimal two-value zero-mean disintegration of zero-mean random variables. Electron. J. Probab. 14(26):663–727.Crossref, Google Scholar
• Steinhaus H, Trybula S (1959) On a paradox in applied probabilities. Bull. Acad. Polon. Sci. 7:67–69.Google Scholar