Maximum efforts in contests with asymmetric valuations

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Contest functions : theoretical foundations and issues in estimation (2013, background): “…v1 so that: p1 e1; e2ð Þ ¼ 1 if e1≥v1 and e1 > e2; 1 2 if e1 ¼ e2≥v1; 0 if e1 < v1: 8>< >: Franke et al. (2009) also assume that the objective of the contest designer is to solely maximize aggregate effort (∑i ei) and extend Nti (2004) to allow for n≥2 potentially heterogenous contestants.”
Political Culture and Discrimination in Contests (2011, background): “3 Glazer and Hassin (1988), Moldovanu and Sela (2001) and Nti (2004) deal with the contest prize, Baye et al. (1993), Amegashie (2000) and Taylor (1995) focus on the set of contestants, Gradstein (1998), Gradstein and Konrad (1999) and Amegashie (2000) examine the structure of multi-stage contests,…”
Generalized contest success functions (2009, unknown): “This is precisely the CSF used by Nti (2004).”