Pirate King points

economics, there is a Consent was only through, otherwise he will be thrown into the sea to feed sharks, and so on. In distribution program in the least proud of the people.
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economics More generally, the promotion of other economics gold coins. Therefore, 3, 4, but support can save your life. The 3rd know this, will put forward the add your own vote, his plan can be adopted. However, infer No. 2 No. 3 program, it will put forward the Since the program for 4 and 5 than in the 3rd for the allocation of more favorable, they will support him do not want him out to be allocated by the 3rd. Thus, 2 will take 98 coins. Similarly, the program will also be No. 2 by the insight into the No. 1, No. 1 and made (97,0,1,2,0) or (97,0,1,0,2) program, that is, to give 2, and a gold coin to 3, while giving 4 (or 5) 2 gold coins. As the No. 1 program for 3 and 4 (or 5) for allocation than the 2nd better, they will vote in favor of No. 1, together with their votes on the 1st, 1, The program will be passed, 97 gold coins can easily fall into the capsule. This is undoubtedly the No. 1 program to obtain the maximum benefit from it! The answer is: the 1st to the 3rd robber points a gold coin, and give to the 4th or 5 bandit 2, scored 97 himself. Allocation scheme can be written as (97,0,1,2,0) or (97,0,1,0,2). The number one company, engaged in insider control, the number two man is often put aside, and with accounting and cashier have a house on fire, because a good company to buy the little guy. No. 1 seemed the most likely to feed sharks, but he firmly grasp the first-mover advantage, the result will not only eliminate the threat of death, but also benefits the most. This is not the advanced countries in the globalization process is the first mover advantage it? And 5, seems the most secure, there is no threat of death, and even fishermen can get all the benefits, but because his face had to watch other people act, but only gets a small cup of soup. However, the model is an assumption that any change, the end result is different. Complex than the model of the real world. First of all, in reality, certainly not everyone is Back to the Therefore, the 1st first thing to consider is his pirate brothers how smart and rational reliable unreliable, or the first score in luck. If someone associates prefer to see being thrown into the sea to feed sharks. If so, the 1st since the program that it not become self-defeating pride! Then there are the saying goes, Due to asymmetric information, lies and false promises to come in handy, and plot will be like weeds as soaring and took the opportunity to benefit. If No. 2, 3,4,5 a large release of smoke, claiming the No. 1 program of any distribution made, he would have more to add a gold to them. Thus, the results then how? Usually, in reality, everyone has a fair admission standards, which often muttering: ... ... When we all up in trouble when the No. 1 be able to hold 97 coins intact, calmly get out there? The most likely is that the pirates would seek to amend the rule, and then re-distributed. Think about Hitler's Germany before World War II it! And if the game into a repeated game by the time it? For example, we make it clear next time get 100 gold coins, the first by pirates to points on the 2nd then the 3rd ... ... ... ... This is rather like a U.S. presidential election, taking turns in power. Plainly, the fact is a democratic form of spoils system. The most horrible thing is that the other four anti-1 form a grand coalition and to develop new rules: split four gold coins, will be thrown into the sea ... 1 ... This is the type of revolutionary ideals Ah Q: hold high the banner of egalitarianism, thrown into the abyss of death to the rich ... ... the system irregularities,skechers outlet, reason over ignorance! If the hypothesis becomes, is 10 of 100, gold coins, 50% or more vote to pass, otherwise he will be thrown into the sea to feed sharks, and so on. 50% is the crux of the problem, the pirates can cast their votes. Therefore, if the remaining two people, no matter what the program will be adopted, that is 100,0. Push step up, 3 people, the last person to know if the third case of two people,skechers shape up shoes, so it will unite the first person, give him a gold coin --- P3 --- If you know that he knows the program P3 is rejected, the game will be only by the P1 and P2 to continue, and P1 to not get a gold coin. So P3 to know, as long as a gold coin to the P1 , P1 will agree to his plan (of course, if you do not give a gold coin P1, P1 will get nothing anyway, would rather vote for P3 to feed the fish). So the best strategy is to P3: P1 was a, P2 get nothing, P3 was 99. P4 similar situation. He just had two votes on it, a gold coin to the P2 can let him voted in favor of this proposal, because the programs in the next P2 P3 nothing not. P5 is the same reasoning to convince him but his two companions, so he gave each of the program get nothing P4, P1 and P3 a gold coin, he stayed 98. by forth, and ultimately the best solution is to P10: he was 96, to each program in the P9 nothing to gain the P2, P4, P6 and P8 a gold coin. Results Results, The result is that P1, P2, P3, P4, P5,shape up shoes, P6, P7, P8, P9, P10 can be obtained 0,1,0,1,0,1,0,1,0,96 gold coins each. In sub-fund Most people are not proud of. really is incredible. P10 seems most likely to feed the sharks, but he firmly grasp the first-mover advantage, the result will not only eliminate the threat of death, also received the maximum benefit. and P1,shape ups skechers, looks the most secure, there is no threat of death, and even get all Fisherman's interests, but because his face had to watch other people act, the result with a small cup of soup can not be assigned, but only to save their lives only. World Publishing Company hypothesized five pirates grab the 100 gems, each one the same size and priceless. So they decided to points: 1. Drawing lots to determine their own number (1,2,3,4,5) 2. First, the proposed distribution plan on the 1st, then we 5 people to vote and more than half or when the consent of the person, in accordance with his proposal for distribution, or they will be thrown into the sea to feed sharks. 3. If the 1st death, and then from the 2nd proposed distribution plan, and then vote on all 4, if and only if half and more than half of the people consent, be distributed in accordance with his proposal, they would be thrown into the sea to feed sharks. 4. Inferior race, every pirate analogy ...... conditions are very smart people, gain and loss can be a very good sense to make a choice. What first raised the issue of the distribution plan pirate can make to maximize their earnings (if a rule would be more perfect to add the following: maximize the return on the pirates in their own happy to see the premise of being thrown into the sea to feed the other pirates sharks. without also said in the past, because the other pirates were thrown into the sea to feed sharks found to maximize the interests of each Pirates.) use a reverse extrapolation, assuming that has been thrown into the sea 1,2,3, then the 4th The program will be to 100,0, and must be passed. Therefore, get the 3rd 5 in the case of a gem will be strong support for the 3rd option. Second, the program will be No. 3 for the 99,0,1, and must be passed. So get 2 4 in the case of a gem will be strong support for the program 2. Third, the program will be 2 to 99,0,1,0, and must be passed. The 2nd to the 4th can not be the one gem to 5, 5, may not strongly support the 2nd solution because the 3rd through the program will also help him get a gem. Life insurance for foolproof, 2 to choose 4, and must be passed. Therefore, 3, 5, get 1 in the case of a gem will be strong support for the program 1. Fourth, the program will be No. 1 for the 98,0,1,0,1, and must be passed. So the answer is: 98,0,1,0,1. User discussion on the above reasoning and users to discuss: (1) For the above reasoning: will strongly support the 2nd under the program. No to all the gold for themselves bound to oppose. grounds for the following reasons: II , drawn 1, can make their own interests thrown into the sea to feed sharks. are Because they know that if you do not follow the rules, requirements reinvent the wheel, then the development of new sub-Golden Rule, the same can not guarantee their toss back and forth continues, the result result: ① either, regardless of gems, each gem is always only 0. pirates of the worst luck,skechers shoes online, it might as well accept the results of this sub-Golden Rule (ie, sub-0 stones), as sub- Golden rule is that they got, the points will continue to be the implementation of the golden rule that he'll have a law of the jungle. the other pirates thrown into the sea to feed sharks, but that they do not need to develop sub-5 Golden Rule, and it naturally into the the above reasoning shows: ① When the pirates this reasoning, the five pirates who are still alive, and this is their first points of gold. ② The reasoning relates to the there has been both a chicken egg, so this reasoning is not only from the smart, judgments gains and losses see come first, sympathetic, do not agree with law of the jungle not short board game way. on a long board, the best game of course is a long board. hope this day early in our implementation, in East Asia or Asia to achieve in the world to achieve. It would be the well-being of humanity. ② law of the universe created all things, inspiration. For ③ The questions for Microsoft. Microsoft, as rival Goldman Sachs was the largest on the grounds that Goldman Sachs have taken away the talent. (5) reasoning as follows: Reasoning ①: Suppose ①: 1,2,3 number has been thrown into the sea, by the the 4th sub-precious stones. ① infer from the assumptions: Conclusion ①: 4 issue of the program will be to 100,0, and must be passed. (it is the 4th can not be thrown into the sea, not inconsistent with the hypothesis ①) reasoning ②: (to be the conclusions of reasoning used ①) Suppose ②: 1,2 number has been thrown into the sea, from the 3rd sub-precious stones. the conclusions of ①, ② reasoning assumes that: Conclusion ②: 3 number for ①, the know: his only 0 to 5, more than precious stones, that is, as the 99,0,1 program, the program will surely be passed. (so 3 can not be thrown into the sea, and assumptions ② no contradiction, ② no contradiction as long as and assumptions on the line, and assumptions ① no way related to, because they are two mutually independent reasoning.) all the rest of the reasoning and so on. (6) clear through the above line of reasoning, you will find: problem! (X +1) / 2 from the number of rounding). (when X = 201 and X = 202, 1 Viking 0 to maximize revenue, but can save your life.) Z (2 = 202 when the case can start to X = 500 as in the case under discussion, and further promotion. is still used push down method. 203, 102 in favor of the pirates must have, but he could not buy with 100 precious stones to the support of 101 associates. Therefore, no matter what kind of made 203 allocation scheme, he is destined to be thrown into the sea feed the fish. 204, 102 must be in favor of the pirates, in order to save the lives of 203 to 204, the program must be adopted to prevent the distribution of 203 to propose their own program, so no matter what kind of 204, the program proposed by the pirates, can get the firm support of 203. This 204 pirates can save your life: he can get his own 1 vote, 203 to 1 vote, and the stones used to buy 100 to 100 associates of the votes, just to achieve the half of the required support. from the 204 get a gem of pirates, the pirates will fall under 202, the program will be nothing that the list of 102 pirates. 205, 103 must be in favor of piracy, but he can not use 100 gems to buy the support of 102 associates. Therefore, no matter what kind of distribution of 205 proposed program, he is destined to be thrown into the sea to feed the fish. 206, 103 must be in favor of piracy, he can get a firm 205 support, but he could not buy with 100 precious stones to the support of 101 associates. Therefore, no matter what kind of made 206 allocation scheme, he is destined to be thrown into the sea to feed the fish. 207, 104 in favor of piracy must be He can get 206, 205, and the firm support, but he could not buy with 100 precious stones to the support of 101 associates. Therefore, no matter what, 207, proposed distribution plan, he is destined to be thrown into the sea to feed fish. 208, 104 in favor of the pirates must be, he can get 205, 206, 207, unwavering support, plus 1 vote, and he bought the 100 vote,shape up skechers, allowing him to save your life. get No. 1 from 208 gem of the pirates, will belong to those who would gain nothing by the program 204 that the list of 104 pirates. Now we can see a new, then the law will remain in effect: those programs through the Pirates (all of their allocation scheme the stones used to buy 100 associates, their gems are not even 1) the distance farther and farther apart, and between them made the pirates, no matter what kind of programs will be thrown into the sea. Therefore, in order life insurance, they will definitely vote for the pirates came in front of them made any distribution plan. to prevent the pirates buried inside the fish, including 201,202,204,208,216,232,264,328,456 number, ie 200 +1 , 200 +2,200 +4,200 +8,200 +16,200 +32,200 +64,200 +128,200 +256. the power of 200 0 +2 200 1 +2 power, power of 2 200 +2 200 +2 3 times the power, the power of 4 200 +2 200 +2 5 th, 6 th 200 +2 200 +2 7 th, 200 + 2 of 8 power, that is, its number is equal to 200 plus a power of 2. of this title for the promotion of a more general pirate X, A precious stones, other rules above. When X = 2A +2, if X = 2A +2 B-th power, then the 1st pirate to save your life, but no income. other pirates of the earnings from the previous discussion, we know there are laws, but the number of pirates is not fixed, the expression of them is omitted. If X is not equal to 2A + of a power of 2, set B = b is to make (X> 2A +2 B-th power), established the largest B, then (X +1- (2A +2 of the b th power)) can be life-Viking, but no income. before the pirates will be thrown into the sea to feed the fish.'s earnings after the pirates from the previous discussion, we know there are laws, but the number of pirates is not fixed, the expression of them is omitted. Other well-known mathematicians and economists , Palo Alto, California, Stephen M. Omohundro in 1998, answers to such issues. The problem is the subject of a specific kind of problem: Microsoft, piracy points Classic ------ gem interview questions, 20 minutes for The answer to the annual salary of 80,000 dollars to obtain the post: 5 100 gems grab the pirates, that is X = 5, A = 100. these problems reflect the case of multi-game philosophy of existence: 1, there is no eternal friends , only permanent interests. 2, below the critical point, as played by policy makers, to take the biggest risk, get the maximum benefits. 3, near the critical point where income distribution is the closest to a fair place. half benefit the people evenly, and the other half of the people do not benefit evenly. 4, after crossing the critical point, as played by policy makers, risky, or even lose their money will go, and the revenue is zero, this is the most bad, because everyone's income is not high. This is an unstable state, the system will self-adjust by moving closer to the critical point. 5, will never happen everyone benefits from that, any time At least half or nearly half of them without income, unless only one person. Also, if there is no logical flaw, then the conclusion will surely be valid, even if it conflicts with your intuition. term Atlas Atlas more extended reading: 1
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