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We have shown that rnr can be used to find robust counter-strategies. in this section we investigate their use in an adaptive video poker rules program. we generated four counter-strategies based on the opponents psopti4, a80, s1399, and s2298, and then used these as experts which ucb1 [acbf02] a regret minimizing algorithm ; selected amongst. the fbr-experts algorithm used a fbr to each opponent, and the rnr-experts used rnr to each opponent. we then played these two expert mixtures in 1000 hand matches against both the four programs used to generate the counter strategies as well as two programs from the 2006 aaai computer poker competition, which have an unknown origin and were developed independently of the other programs. we call the first four programs "training opponents" and the other two programs "holdout opponents", as they are similar to training error and holdout error in supervised learning. the results of these matches are shown in figure 2. as expected, when the opponent matches one of the training models, fbr-experts and rnr-experts perform better, on average, than a near equilibrium strategy see "training average" in figure 2 ; . however, if we look at the break down against individual opponents, we see that all of fbr's performance comes from its ability to significantly exploit one single opponent. against the other opponents, it actually performs worse than the nonadaptive near equilibrium strategy. rnr does not exploit a80 to the same degree as fbr, but also does not lose to any opponent. 7.
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Citizens and politicians and administrators. this unity of opinion is of crucial importance. the notion of `cultural difference' tends to be used whether it is relevant or not, and sometimes also in order to steer clear of a more fundamental discussion on values and norms within the kingdom. there is no reason whatsoever to state that the gap between the dutch and the caribbean cultures is unbridgeable. `cultural difference' is no insurmountable obstacle in transatlantic relations. however, a possibly stronger dutch involvement combined with a local feeling of being insufficiently understood and respected, bears the seeds of conflict. one remembers the wise words of the famous dutch orientalist christiaan snouck hurgronje, criticising the dutch self-congratulatory mood on their own harsh colonialism in the dutch indies: `no matter how corrupt a native administration may be, it hardly ever occurs that its subjects are therefore prompted to long for our rule.'11 there is also ambivalence on the dutch side. the average dutch citizen plays no role of importance, at least as long as antillean immigration does not weigh too heavily on relations. in dutch politics the caribbean dossier is of little importance, and hardly ever disputed. it is typical that parliament has seldom hampered the ministers in charge, maybe with the exception of the years shortly after the curaaoan revolt of 1969. even though dutch administrators are faced with the same dilemmas as their antillean and aruban counterparts, they weigh considerably less heavily in the hague. this has always been the case, which also helps to explain why the charter and its workings seem to have acquired a certain `eternal quality'. in the end, the `burden' of the post-colonial relations has never weighed heavily enough to make the hague opt for really radical and possibly judicially contestable policies. this dossier has never caused much commotion or difficulty within dutch politics. changes in direction are rarely challenged in the house of commons, the small number of politicians concerned with this issue have little problem with minor experiments in a dossier which has no appreciable political weight. initially, the restriction of the kingdom ties was felt by only a relatively small group of nationalists, particularly in suriname. gradually these ties were also experienced as restrictive in dutch political circles. in this context suriname gained its independence. since that time the political elites on the islands have declared time and again that they are completely satisfied with the charter. the netherlands, however, was still seeing the kingdom ties as restrictive, and was therefore initially striving for a severance and, after this was found to be impossible, for a thorough revision of the relations. this change of direction encountered much resistance from antillean and aruban administrators, as a result of which they also began to feel restricted. however, a departure from the kingdom was never seriously considered. at present, neither the netherlands, the antilles nor aruba has em.
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