Game Theory and Overtime Thrillers Overtime National Hockey League (NHL) games are very exciting. However, fans might be surprised to know that many NHL games go into overtime due to game theory. In the NHL, the winner of a game decided in regulation gets two points and the loser gets zero points. However, for NHL games decided in overtime or a shootout, the winning team gets two points and the losing team gets one point. Therefore, when a game goes into overtime, both teams are guaranteed at least one point. These points are crucial in determining what teams are eligible for the playoffs. This point system benefits teams that go into overtime, as both teams are guaranteed to get at least one point. Therefore, if a NHL game is tied with …show more content…
Firstly, it must be a tied game. If one team is losing, then they will almost certainly play an aggressive, offensive style. Playing conservatively in the final minutes of a game is not a logical option for a losing team. Secondly, there cannot be any penalties, as that would give one team a power play. A power play allows the team with an extra skater on the ice to play a more aggressive style of offense. Power plays also force the team that is man-down to play conservatively. Thirdly, it must be near the end of a game. When there is still a significant amount of time on the clock, there is time for a team to establish that they are the dominant team and win two points in regulation time. Additionally, the opposing teams cannot be in the same division or in the playoffs. Since playoff eligibility is determined based on the top teams in each division, teams do not want to go into overtime with division rivals. They do not want their rivals to be guaranteed a point from the game. In addition, points do not matter in playoff hockey, so this model does not apply to playoff games. Finally, this model assumes that the teams are of approximately equal skill, and that no team has any major advantages over the other. This equivalence of skill allows us to assign payoffs to each team that are based on the teams having an equal chance of …show more content…
Both teams are equally skilled, but they are using different strategies. We can assume that Team A earns 1.4 points on average in this scenario, while Team B earns 1.1 points on average in this scenario. Therefore, given that Team B is waiting until overtime, and Team A is playing to win in regulation, then Team A will earn a payoff of 1.4 points on average, while Team B will earn a payoff of 1.1 points on average. Likewise, given that Team A is waiting until overtime, and Team B is playing to win in regulation, then Team B will earn a payoff of 1.4 points on average, while Team A will earn a payoff of 1.1 points on average. The following matrix summarizes this
Suspense is defined as the author withholding information or when the unexpected happens, leaving you guessing and wanting more. In the story “The Most Dangerous Game” by Richard Connell, he has inserted much suspense in this short (long) story, for the reason that it makes the reader want to know more and having to mindset of excitement or surprise. Another reason he added many suspense is so that it wouldn’t be so blunt, it wouldn’t just tell us what happened it would give us details and how he got or how he did that and more.
In Richard Connell’s short story “The Most Dangerous Game”, the protagonist character, Sander Rainsford is an adventurous and fearless big game hunter. Rainsford has no remorse for his prey. Over the course of the story Rainsford experiences a sudden change of heart when he finds himself where “The world is made up of two classes—the hunters and the huntees.”
What is human nature? The Bible says in Romans 3:23 “For all have sinned and fall short of the glory of God.” We are all fallen, sinful and depraved, all of us are. Humans are evil. Genesis 1-3 shows us that God made us whole and good, but we have ruined his perfect plan. The greatest of men were all sinners. Moses, the leader of Israel was a murder (Exodus 2:11-15), David slept with Bathsheba and then killed her husband (2 Samuel 11-12), Paul murdered christians (Acts 9), and the list goes on and on.
Resourcefulness is being able to overcome difficulties quickly and in a clever way. Resourcefulness can also be using one’s surroundings for his/her benefit with prior knowledge and experience. In Richard Connell’s short story “The Most Dangerous Game” the main character Rainsford shows these skills of resourcefulness as he tries to survive the hunt. Rainsford is an experienced big game hunter that is trapped on a tropical jungle covered island with another big game hunter, General Zaroff. Zaroff has gained so much experience in hunting, due to this he has lost interest in hunting animals and now enjoys the hunt of humans. Rainsford is put in the position to be torched or participate in a game of hunting. When Rainsford is challenged to this game of hunting he is forced to try and survive. Rainsford is able to survive the hunt because he uses his resources and prior knowledge to weaken Zaroff helping him win the hunt.
If you constantly split the difference or “straddle the fence,” game playing can result and the outcome could be less than ideal.
Otherwise whoever has the most points at the end of the extra time, is the winner (Compare anything).
One of the darker actions examined in this unit takes place in "The Most Dangerous Game" by Richard Connell. In this short story, General Zaroff begins hunting a man lost on his island named Rainsford. Bored of the usual game, General Zaroff decides he wants something more exciting and chooses to prey on humans. This ill-judged decision has a domino effect on the plot, ultimately ending in the demise of Zaroff. Nonetheless, an alternate ending besides death could have very well been a possibility. Perhaps, instead of hunting humans, Zaroff decides to open a hunting camp to share his passion for the sport with others. Obviously, his boredom is caused by the island's isolation from society. So, Zaroff could have built homes and started a community or decide to leave the island altogether. Then, the course of this story would have taken a completely different path. Maybe, Zaroff finds a wife, they have children and live happily ever after. If only he was able to overcome his dark side instead of letting it consume him.
Imagine a world where people hunt other people as a sport and the hunters become the prey in a fight to survive. In the short story, “The most Dangerous Game,” by Richard Connell there is a rich hunter named Sanger Rainsford and he is on his yacht in the middle of the Caribbean. After hearing a gunshot he leans over the side of the yacht and he swims to a strange island. On that Island he meets General Zaroff. During a dinner Zaroff tells Rainsford about the hunts he likes to go on and after much convincing Rainsford reluctantly agrees to go on the hunt. Rainsford spends the next few days in a fight for his survival and ends up winning “the game.” In “The Most Dangerous Game” Richard Connell creates suspense by using two elements: foreshadowing and dangerous action.
If the Rangers lose in overtime or a shootout, the Isles would need two of four points to play the Penguins.
Team A shining through in the final 5 rounds and team J beats team B securing the position as the winners of the competition. Team J was the defending team B and provided a tough competition to other teams. The matter of team J wining, despite the prediction that team B would dominate, is largely supported by the fact the estimated ranking for team J and B were very close, with 4 and 3 (matrix S), 15.3 and 16.08 (〖matrix S〗_1), 13.16 and 18.2 (〖matrix S〗_2), and 7.7 and 8.04 (matrix S_3) respectively. Indicating a fairly tight competition between the two in the elimination rounds (on the basis of them playing with a similar success rate as in previous rounds). Matrix S gave the best
Let win=3, draw=1 and lose=0. The reason for this weighting method is because it is natural for the loser not to get a point. Also, there must be a visible gap between winners and draw players. This can be proved by contradiction proof.
In the arena of sports today there is a continuous subject in every sport hostility and violence. Aggression can be revealed in a lot of dissimilar methods in sports. In baseball hostility can be chucking a pitch inside to a player or gliding into second base and captivating the other basemen. In basketball it can be a foul that is hard and shoving someone to the ground. And in NASCAR it can be somewhat as little at bouncing another vehicle at a race track. Over the past few years aggression and violence in sports is growing bigger and bigger. It seems like you can not go a week or two without the news talking about a fight or argument that has occurred at a sporting event between a couple of players or teams.
From the excerpt, “How David Beats Goliath” by Malcolm Gladwell, I found interesting how it says if you can change your tactics opposite to what your greater opponent may be accustomed to, your chance of victory goes up. For example, in the excerpt it states, “What happened, Arreguín-Toft wondered, when the underdogs likewise acknowledged their weakness and chose an unconventional strategy? He went back and re-analyzed his data. In those cases, David’s winning percentage went from 28.5 to 63.6,” (Gladwell, page 3). This drew to the conclusion that when David and the underdogs decided not to play by Goliath’s rule, you can come out victorious against those more powerful against you. This concept is something that can really apply to sports. If you analyze a team and see what tendencies or what makes them victorious and if you then try to disrupt them from their own rules, you can come out winning even if you are the weaker team.
Tied games in the Olympics is followed by ten minutes of sudden death, in the NHL, the game stays in the extra period
As can be observed from these plots, teams who win at the end of the first period have a much larger range of data, with 26 separate points versus 14 separate points on Team B’s graph. Since the scatter plot does not use a thicker dot when numerous teams share one place on the plot, this suggests that teams who lose at the end of the first period tend to have similar scores, as they have twelve fewer points than teams who win.