---
res:
bibo_abstract:
- 'Balanced knockout tournaments are ubiquitous in sports competitions and are also
used in decisionmaking and elections. The traditional computational question,
that asks to compute a draw (optimal draw) that maximizes the winning probability
for a distinguished player, has received a lot of attention. Previous works consider
the problem where the pairwise winning probabilities are known precisely, while
we study how robust is the winning probability with respect to small errors in
the pairwise winning probabilities. First, we present several illuminating examples
to establish: (a) there exist deterministic tournaments (where the pairwise winning
probabilities are 0 or 1) where one optimal draw is much more robust than the
other; and (b) in general, there exist tournaments with slightly suboptimal draws
that are more robust than all the optimal draws. The above examples motivate the
study of the computational problem of robust draws that guarantee a specified
winning probability. Second, we present a polynomial-time algorithm for approximating
the robustness of a draw for sufficiently small errors in pairwise winning probabilities,
and obtain that the stated computational problem is NP-complete. We also show
that two natural cases of deterministic tournaments where the optimal draw could
be computed in polynomial time also admit polynomial-time algorithms to compute
robust optimal draws.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Krishnendu
foaf_name: Chatterjee, Krishnendu
foaf_surname: Chatterjee
foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-4561-241X
- foaf_Person:
foaf_givenName: Rasmus
foaf_name: Ibsen-Jensen, Rasmus
foaf_surname: Ibsen-Jensen
foaf_workInfoHomepage: http://www.librecat.org/personId=3B699956-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0003-4783-0389
- foaf_Person:
foaf_givenName: Josef
foaf_name: Tkadlec, Josef
foaf_surname: Tkadlec
foaf_workInfoHomepage: http://www.librecat.org/personId=3F24CCC8-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-1097-9684
bibo_volume: 2016-January
dct_date: 2016^xs_gYear
dct_language: eng
dct_publisher: AAAI Press@
dct_title: Robust draws in balanced knockout tournaments@
...