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1. Presentation of relevant background, including other research, related to your project

Context: Draw from Literature Review (but do not copy and paste)

Game theory firstly exists in mathematics. Jeremey Cagle, in Elegant Complexity: The Presence of Cold War Game Theory in Postmodern American Fiction claims that “[…] Von Neumann’s game theory, a branch of applied mathematics that schematizes human conflict and cooperation” (2). Later, game theory is used in the military in the United States Cold War. In 2014, Dr. Michael Suk-Young Chwe talks about game theory in his book Jane Austen, Game Theorist (2014) in the aspect of relationships among people.

In the book, Dr. Chwe states “Game Theory considers interaction among two or more people and is built upon rational choice theory, which looks at the choice of a single individual” (1). In other words, firstly, game theory focuses on the interaction between two or more people. When one person makes a decision, she considers others’ reaction. For example, there are two people in the decision-making issue. Firstly, A assumes that she does nothing, B will do X or Y. Secondly, A begins to evaluate X and Y, and finds that X is good for her and Y is bed. Thirdly, A assumes that she does something, B will do x and y. Fourthly, A evaluate x and y again, and find that x is better for and y is worse. Among these four results, A chooses to do something and tries her best to manipulate B to do x so that she can get reach the goal that is the best for her. This simple process can be drawn as a tree, which is called a “game tree” or “extensive form game” (13).

Secondly, game theory involves strategic thinking because people need to manipulate others to benefits themselves or reach the goals that they think are the best. Dr. Chwe states that people must know others’ preferences are different from their preferences. The best way to make the manipulation successful is “people try to place themselves in the mind of another (17).”

After Dr. Chwe gives the definition of game theory in human being’s relationship, he emphasizes the strateric thinking part. Dr. Chwe states strategic thinking is exploring “each character’s preferences and choices in strategic situation. (33)” He claims that Elisabeth Bennet who is from Pride and Prejudice “adamantly defend her choice that she wants to engage in Mr. Darcy against others’ presumptions. (97)” When Lady Catherine commands Elisabeth Bennet not to have a relationship with Dr. Darcy, Elisabeth states that there is no need to reference to Lay Catherine when she is willing to continue her happiness. Elisabeth Bennet never allows anyone else to manipulate her marriage. She can make a decision by herself about whom she wants to marry. Additionally, Dr. Chwe claims that Jane Austen makes Elisabeth Bennet have “complex mixtures of feelings”. At the very beginning of the whole story, Elisabeth Bennet hates Mr. Darcy because he is arrogant. She likes Mr. Darcy even less after she knows that he refuses to provide Wickham a living following his father’s wishes. However, Elisabeth Bennet begins to love Mr. Darcy after he helps her little sister Lydia. All in all, the feelings Elisabeth Bennet to Mr. Darcy is changing with the story developing. It also reveals that Elisabeth Bennet prefers men who can help her family deal with problems.

2. Discussion of the relevance/importance of your focus to (identify the “problem” or gap in

knowledge that your research will provide more information about)

Depart from Literature Review

Example: While Person A covers this and Person B covers that, no one addresses z. I will address z.

Example 2: Person A discusses this, focusing on x and y; however, she overlooks the aspect of z. I will focus on z.

Dr. Michael Suk-Young Chwe discusses game theory, focusing on the definition of game theory and “strategic thinking reveals women characters’ preferences and choices in strategic situation (33)”; however, he overlooks the aspect of that Jane Bennet, Elisabeth Bennet and Lydia Bennet engage different strategies to manipulate their marriages.

3. Clear statement of a research question to focus your analysis=what the analysis will show

Example: I will focus on the role of z in this.

Or I will focus on the relationship between z and this.

1.     The goal of this game is marrying wealth men, which will maintain the stability of economy. It is also the only way for these women to survive in this society.

Sandra L Alagona in Revolution And Improvement In The Writings Of Jane Austin And Margaret Fuller (2011) ever claims that “To be a middle class white woman in early nineteenth century England and the United States meant that you lived most of your life as someone's financial dependent. (88)” In her opinions, father and husband are the best choices for women to rely on. However, Mr.Bennet cannot become his five daughters’ financial dependence and even after he dies, he still cannot leave his little legacy to them. He has no choice but giving his estate to Mr. Collins, his nephew, who is hated by Bennets. For Mrs. Bennet, this unfair issue is also the “hardest things in the world. (51)” On Account of this unfair and terrible issue, five lovely daughters will lose their economic power after Mr. Bennet dies. They are forced to try their best to marry wealth men as financial dependence to maintain their economy and survive in this society by manipulating marriages. Otherwise, they will lose money and even become homeless. Therefore, marriages become an economic game. Who can finally have wealth husband will become the winner of this complex game.

2.     I will focus on the role of different strategies in Jane Bennet, Elisabeth Bennet and Lydia Bennet’s marriages. It is true all of them are the participants of this big economic game. They use game theory to manipulate their marriages. However, they use different strategies of game theory to make themselves marry wealth men. Jane Bennet is not actively engage in a long-turn relationship with men. The strategy she uses is following Mrs. Bennet’s instructions passively. On the contrary, Lydia Bennet is quite actively engage in a long-turn relationship, but she is too clumsy to manipulate her marriage. Elisabeth Bennet is totally different with her sisters. She refuses every instruction provided by other people.

4. Clear identification & explanation of methods to conduct your research

Example: Using literary analysis, I will study the treatment of z in this.

Using literary analysis, I will study the treatment of different strategies in separate examples from Pride and Prejudice. To illustrate this point, I use Lydia Bennet as an example. In the example, firstly, I will summarize Lydia Bennet’s behaviors in marriage. Secondly, I will explain how her behavior is game theory. Thirdly, I remind the readers that my these is right by giving the evidences of game theory in Pride and Prejudice.

I will repeat these steps of analysis for Jane and again for Elisabeth.

5. Presentation and analysis of data or information (see requirements for short analysis essay)

Here is one instance of z happening in this. 

Summarize Lydia’s behavior.

Explain how this behavior is game theory.

Remind the reader that your thesis is right: here is evidence of game theory in P&P 

 

Here is another example of z in this.

Here is how it works.

And here is what it means (i.e. my idea is right).

Here is a third example of z in this.

  Here is how it works.

And here is what it means (i.e. my idea is right).

Here is one instance of strategies of game theory in marriage in Lydai Bennet’s marriage. Lydia Bennet is the youngest daughter of Mr. and Mrs. Bennet, who is naïve and has vanity. When Lydia knows that wealth Mr. Bingley will exist in the ball, she is so excited and thirty going to the ball. Later, she gets the news that the regiments are coming and will spend the whole winter in here. She cannot help waiting to meet them. When the regiments are coming, Lydia, her sisters and Mrs. Bennet are going to see them. Lydia drops her handkerchief on the ground on purpose and hops one of officers will pick it up so that she can introduce herself to him. Unfortunately, no one picks it up and they just walks ahead. Lydia is so disappointed. Several days later, Lydia goes to Netherfield Hall to look after Jane Bennet following Mrs.Bennet. She is shocked by Mr. Bingley’s beautiful hall. During the conversation with Mr. Bingley, Lydia even suggests Mr. Bingley hold a ball in Netherfield Hall and invites the militia. Another day, Lydia goes to look for ribbon. On the road, Mr. Wickham, a lieutenant, picks up a handkerchief towards Elisabeth, but it makes Lydia excited again and she pretends that handkerchief is hers. She goes ahead and compliments him. Additionally, Mr. Wickham lends money to Lydia when she is asking Elisabeth for borrowing money. Lydia likes Mr. Wickham so much. Finally, she runs away with Mr. Wickham and gets marry him with the help of Mr. Darcy.

Lydia Bennet tries her best to make herself attractive and finally runs away with Mr. Wickham. Her marriage is like a game and she attempts to become the winner who marries a wealth husband. Firstly, when she goes to see the regiments, she drops her handkerchief on porpose. She knows that if one of the officers picks it up and gives it back to her, she will have valuable chances to introduce herself to him. Once she can be known by the officer, she will have possibility to continue her relationship with him and finally marries him. Lydia also knows clearly that if she does nothing, she will become an ordinary person who is in the crowd and ignored by officers. She also suggests Mr. Bingley to invite Mr. Wickham to participate the ball to increase the chances to meet him and gets close to him.

Secondly, she makes a decision to run away from the home with Mr. Wickham. That is because she knows it is the only chance for her to marry a wealth men and win the game. Lydia Bennet is not as beautiful as Jane Bennet and not as cleaver as Elisabeth Bennet. If she does nothing to manipulate her marriage, she will loses all the chances to change her faith. She has to marry a poor man and worries money. Lydia Bennet uses all the ways to manipulate her marriage even though her brings a lot of troubles to her family.

Lydia Bennet is manipulating her marriage by using game theory in her marriage. She thinks of every result and chooses the ones that will make her win the game. However, Lydia Bennet is not good at manipulating her marriage. She is so clumsy and brings many troubles to her family. Lydia runs away with Mr. Wickham, which is the most dreadful news for the whole family. The whole family worries her so much and they are afraid of not finding her at all. She does not have money and connections. Secondly, Lydia Bennet ruins in Mr. Bennet’s reputation. In the late eighteenth century and early nineteenth century, people cannot tolerate that unmarried women run away with young men. This action will bring troubles to the families. People around will criticize the families and no one wants to have relationships with them. Lydia destroys the whole family. She makes sisters lose chances to marry other people because no one wants them who have a fallen sister. She also forces her father, Mr. Bennet to fight to Mr. Wickham and it is highly possible that Mr. Bennet will lose his life. Lydia Bennet makes her family worry about her, ruins the reputation, destroys her sisters’ marriages and even makes Mr. Bennet lose his life. She brings too many troubles to her family as the price of her win in her marriage game.

Here is another example of strategies of game theory in marriage in Jane Bennet’s marriage. Jane Bennet is the eldest daughter of Mr. and Mrs. Bennet, who is beautiful and gentle. Jane Bennet falls in love with Mr. Bingley when she first meets him on the ball. Mr. Bingley, a young and handsome man with large future from the north of England, is the host of Netherfield Hall. Mr. Bingley is also attracted by Jane’s beauty. After the ball, Mr. Bingley’s sister Caroline Bingley sends Jane a letter to invite her to have dinner in Netherfield Hall. However, Mr. Bingley is not going to have dinner with them. The news makes Jane a little bit disappointed, and it also makes Mrs. Bennet feel unaccountable. Jane plans to take a carriage to Netherfield Hall owing to it is too far to walk there. Mrs. Bennet stops her and requires her to go on horseback. Mrs. She plans to let Jane stay in Netherfield Hall for several days so that Jane can have more time to talk with Mr. Bingley and gets close to him because she will have a cold after going on horseback in the rain and Caroline will ask her stay there until she recovers out of politeness. Her decision surprises everyone on the table, but Jane still follows Mrs. Bennet’s instruction. Actually, Jane stays in Netherfield Hall as Mrs. Bennet wishes. However, the letter from Mr. Bingley’s sister Caroline Bingley upsets Jane. In the letter, Caroline Bingley tells Jane that Mr. Bingley is going to London and also suggests her that Mr. Bingley does not love her at all and he will marry Mr. Darcy’s sister. Jane loses hope to continue engaging the relationship with Mr. Bingley and feel heart-broken. Elisabeth Bennet, her sister encourages her and persuades her not to give up. Elisabeth also suggests Jane to go to London to ask Mr. Bingley why he runs away from her by herself. Jane receives Elisabeth’s suggestion and go to London. Finally, Mr. Bingley knows that Jane does not love his money but him. He comes back to make a proposal to Jane. Jane agrees to his proposal happily.

Jane Bennet experiences being loved, losing love and finally getting love in her marriage. At first, she falls in love with Mr. Bingley in the ball. Then, she is invited to dine with Caroline Bingley in Netherfield Hall. Mrs. Bennet suggests Jane to go on horseback on purpose so that she has more time to spend with Mr. Bingley and gets close to him. Jane chooses to do Mrs. Bennet tells her to do. Later, Jane loses her love because of a letter from Caroline Bingley. Elisabeth Bennet, her sister suggests her to go to London to pursue her love. Again, she chooses to follow Elisabeth’s suggestion. Finally, she get marry Mr. Bingley successfully. Jane’s marriage is like a game, filling with choices. No matter now many the results are, Jane Bennet only has one goal that is marrying Mr. Bingley.

Jane Bennet has two vital choices in her marriage. First of all, Jane has to choose how to go to Netherfield Hall when Caroline Bingley invites her to have dinner. If she chooses to go to Netherfield by carriage, she can still come back home though it is raining outside. Caroline Bingley has no reason to ask Jane stay in Netherfield Hall for several days because the carriage can protect Jane from rains. Therefore, Jane will lose chances to spend more time with Mr. Bingley and get close to him to grow on their love. If Jane chooses to go on horseback, she can stay in Neitherfield Hall for several days because she will have a cold and Caroline will ask her to stay there until she recovers out of politeness. On account of her illness, she will have more time to spend with Mr. Bingley, which makes her much closer to her goal. To achieve her goal, she chooses to go on horseback on purpose as Mrs. Bennet wishes.

Secondly, Jane need to choose to continue to pursue her love or not when she receive the letter form Caroline Bingley who tells her that Mr. Bingley will Marry Mr. Darcy’s sister. If Jane chooses to follow Elisabeth’s suggestion, she still has 50 percentages to continue her relationship with Mr. Bingley. If she chooses to give up, she will lose her relationship exhaustively. Since Jane loves Me. Bingley so much, she is encouraged by Elisabeth and does not choose to give up.

Facing the choices, Jane Bennet chooses the road to achieve her goal which is marrying Mr. Bingley. For her first choice, it could have been chances for her to spend more time with Mr. Bingley. She follows Mrs. Bennet’s instruction and creates chances by going on horseback. For her second choice, though she does not plan to manipulate her marriage, she does not give up easily and holds every chance to achieve her goal by following Elisabeth Bennet’s suggestion.

It is true that Jane Bennet uses game theory in her marriage, but she is passive to manipulate her marriage. She uses the strategy that is following others’ instruction. Here are two evidences. First of all, Jane Bennet follows Mrs. Bennet’s instruction. When Caroline Bingley invites Jane to dine with her, Jane follows Mrs. Bennet’ instruction and goes on horseback. She successfully stays in Netherfield Hall and spend more time with Mr. Bingley. Assuming that Mrs. Bennet does not give Jane instructions, Jane will go by carriage and loses her valuable chance. Jane does not manipulate her marriage on her own initiative because she does not try her best to create chances to make her much closer to marry Mr. Bingley. She more depends on Mrs. Bennet to work out a way to help her.

Secondly, Jane receives Elisabeth Bennet’s suggestion to go to London to continue to pursue Mr. Bingley. Jane receives a letter from Caroline Bingley and almost loses her hope to continue her relationship with Mr. Bingley. Elisabeth Bennet suggests her to go to London to ask Mr. Bingley whether he does not love her at all. Jane follows Elisabethe’s suggestion. If Elisabeth did not make any suggestion to Jane, Jane would receive the reality and give up. She passively receives others’ suggestions and does not really makes a deep thought to marry Mr. Bingley, or to win the game.

Jane Bennet actually uses game theory in her marriage with helps from Mrs. Bennet and Elisabeth Bennet. However, she relies on them too much and she even does not figure out best ways to make her win the game. She only does the things Mrs. Bennet and Elisabeth Bennet suggest her to do. In other words, Jane does not manipulate her marriage on her own initiative. Mrs. Bennet and Elisabeth are the people who really manipulate Jane’s marriage. All in all, Jane passively receives others’ suggestions in her marriage game and wins it.

Here is third example of strategies of game theory in marriage in Elisabeth Bennet’s marriage. Elisabeth Bennet is the second daughter of Mr. and Mrs. Bennet. She is the most clover daughter among five daughters. According to Mr. Bennet, Elisabeth “has something more of quickness than her sisters. (Pride and Prejudice)” Elisabeth Bennet meets Mr. Darcy for the first time on the ball. She thinks he looks “miserable, pour soul. (Pride and Prejudice)” Later, Elisabeth finds that Mr. Darcy is arrogant and looks down upon her. She begins to dislike Mr. Darcy. After Elisabeth goes to Netherfield Hal to look at Jane, she ensures that Mr. Darcy is arrogant and even looked down upon her family. Elisabeth hates Mr. Darcy. After Elisabeth and her family go back home from Netherfield Hall, Mr. Collins comes to visit Bennets. All of them do not like him because he will inherits Mr. Bennet’s estate and he is also stupid in their eyes. Mr. Collins wants to engage with one of daughters of Mrs. Bennet this time. After listening to Mrs. Bennet’s suggestion, he provides a proposal to Elisabeth. However, Elisabeth refuses her proposal because she does not like him at all, though he has some money. Elisabeth likes Mr. Darcy even less when she knows that he does not follow his father’s wish to give Mr. Wickham the rectory. However, Elisabeth changes her mind about Mr. Darcy after she knows the truth and the help he gives to her sister Lydia. She begins to love him. When Caroline Bingley warns her that she is not suitable for Dr. Darcy and need to stop the relationship with him, she refused to follow her warning. Again, Elisabeth also refuses Dr. Darcy’s aunt Lady Catherine who plans to force her not to never enter an engagement with Mr. Darcy. Finally, Elisabeth marries Mr. Darcy happily.

Elisabeth Bennet’s marriage is also like a game and Elisabeth also faces many choices in it. The goal of this game is also marriage. She has two vital choices in her marriage which will lead to different results. First of all, when Mr. Collins mentions a proposal to her, she needs to choose that she marries him or not. If she marries Mr. Collins, she will have money and even Mr. Bennet’s estate. However, she will not feel happy because she does not like Mr. Collins at all. She thinks that he is fool and gets used to flattering wealth people. If she does not marry him, she may lose the economic dependence after Mr. Bennet dies. Nevertheless, she will be happy because she need not do things against her own willingness. These two choices lead to different results. One can bring her money and she need not worry about the rest of her life; the other one, on the contrary, she may lose economic power. Elisabeth Bennet chooses not to marry Mr. Collins rather than forcing herself to marry him that she does not like at all.

Secondly, Elisabeth Bennet has to choose to promise Lady Catherine not to enter the engagement with Mr. Darcy or not. If she is sacred by Lady Catherine and chooses to make a promise, she will lose the relationship with Mr. Darcy and her true love. It also means that she is scared by Lady Catherine and feels that she does not have the honor to marry him. On the other hand, she will lose her economic dependence. Pretend that Elisabeth Bennet refuses to make a promise; she will continue her relationship with Mr. Darcy and her true love. She can both have her soul mate and economic dependence. Elisabeth Bennet makes a decision to pursue her true love so she refuses to make a promise even though her action will mad Lady Catherine.

Elisabeth Bennet also needs to face many choices in her marriage and different choices will lead her to different results. Some choices create chances for her to get close to Mr. Darcy, but others may bring her far away from him. However, Elisabeth uses totally different strategy from Jane Bennet. She refuses everyone’s instuction rather than passively accepts it like Jane Bennet. Here are three evidences. Firstly, Elisabeth Bennet refuses Mr. Collins proposal. Mr. Collins plans to engage with her and he makes a long speech to persuade her. He even says that he will become her economic dependence if she can marry her. Actually, having an economic dependence is the potential goal of her marriage, which could have attracted her so well. However, Elisabeth refuses his proposal because she thinks he does not have honor to marry her. Mr. Collins is stupid and flatters other wealth people.

Secondly, she refuses Mrs. Bennet’s manipulation of her marriage. Mrs. Bennet is eager to manipulate Elisabeth and Mr. Collins because she thinks though Mr. Collins is not a likeable person, he can become a good economic dependence for Elisabeth. After Mrs. Bennet knows that Elisabeth refuses his proposal, she threatens Elisabeth that she does not want to see Elisabeth at all. What is more, she also persuades Mr. Bennet to talk to Elisabeth and forces her to change her decision. However, no matter how Mrs. Bennet threatens her, Elisabeth still chooses to refuse the proposal.

Thirdly, Elisabeth refuses to make a promise to Lady Catherine not to enter the engagement with Mr. Darcy. Lady Catherine looks down upon her because she does not have honorable social status. Also she thinks she ruins her daughter’s relationship with Mr. Darcy. Lady Catherine plans to insult her and makes her lose hopes. However, Elisabeth Bennet refuses to make the promise. She thinks that she has the honor to marry Mr. Darcy as long as Mr. Darcy really loves her. She still does not surrender of power.

In a conclusion, Elisabeth knows that she loves Mr. Darcy and refuses any suggestions that will make her leave far away from him. Elisabeth Bennet refuses Mr. Collins’ proposal, Mrs. Bennet’s manipulation and Lady Catherine’s unfair requirement. She knows her game’s final goal clearly that is marrying Mr. Darcy. Elisabeth Bennet refuses others’ instructions to make her on the right way to her destination. Finally, she is successful.

6. Discussion of findings

Given my findings (summarize findings), I have noticed this pattern (explain pattern/relationship/idea)

Lydia Bennet drops her handkerchief on purpose to create chances to introduce her to wealth officers. She also suggests Mr. Bingley to invite Mr. Wickham to his ball to create more chances to get close to him. Finally, she runs away with Mr. Wickham to have the chance to marry him. Lydia Bennet actually wins her marriage game, but she brings so many troubles to her family. Firstly, the whole family worries about her and has the sadness of losing her forever. Secondly, she destroys her sister’s marriages so that no one wants to marry them. Thirdly, she forces her old father, Mr. Bennet, to fight to Mr. Wickham, which Mr. Bennet may lose his life.

Jane Bennet always follows Mrs. Bennet and Elisabeth Bennet’s instructions in her relationship with Mr. Bingley. Mrs. Bennet suggests her go to Netherfield Hall on horseback so that she can have more chances to spend time with Mr. Bingley and get close to him. Jane Bennet does it as Mrs. Bennet’s wishes. Jane Bennet also follows Elisabeth Bennet’s suggestions to go to London to pursue Mr. Bingley rather than staying at home and losing all hopes. Jane Bennet does what Elisabeth says again. Finally, she get marries Mr. Bingley.

Elisabeth Bennet refuses anyone’s manipulation of her marriage. At very beginning, she hates Mr. Darcy and thinks he is an arrogant people, destroys Jane’s relationship with Mr. Bingley and looks down upon her family. Later, after she knows that Mr. Darcy helps Lydia get marries Mr. Wickham and protects the reputation of her family, she begins to love him. During her relationship with Mr. Darcy, Elisabeth refuses to marry Mr. Collins because she thinks he is stupid. Elisabeth also refuses to make a promise for Lady Catherine who requires her not to marry Mr. Darcy.

Considering the results, Lydia Bennet, Jane Bennet and Elisabeth Bennet all become the winners of their marriage games in the end. However, they use different strategies rather than using the same ones. Lydia is clumsy to manipulate her marriage. She brings troubles to her family though she wins in the end. Jane Bennet passively engages in the relationship with Mr. Bingley. She does not really think ways to make her win the game. According to the findings, actually, Mrs. Bennet and Elisabeth are the people who manipulate Jane’s marriage. If Jane does not have their instructions, she will fail in her game. However, Elisabeth Bennet refuses any instructions in her game. She refuses Mr. Collins’ proposal and Mrs. Bennet’s manipulation. She even refuses to do what Lady Catherine wants her to do. Because she refuses others, she can finally win her game.

7. Conclusions that connect findings to the research question

Therefore, we can assume that the role of z in this is _______.

Therefor, we can assume that the role of strategies of marriage in Lydia Bennet, Jane Bennet and Elisabeth Bennet’s marriages are different. Lydia Bennet brings troubles to her family to win her game. Jane Bennet passively engages in her game. Elisabeth Bennet refuses others’ instructions in her game.