^{Lone divider method}^{Lone divider methodFind step-by-step Probability solutions and your answer to the following textbook question: Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares $$ s_1, s_2 $$ , and $$ s_3 $$ , the choosers $$ C_1 $$ and $$ C_2 $$ submit their bids for these shares.The divider-chooser method (also called the you cut–I choose method) can be used when the fair-division game involves two players and a continuous set S As this name suggests, one player, called the divider, divides S into two shares, and the second player, called the chooser, picks the share he or she wants, leaving the other share to the ... nephews decide to use the lone-divider method to divvy up the estate. One of the nephews divided the estate into four pieces. The table gives partial information as to how each person values each of the four slices. Furthermore, you know that Ted likes A and D equally, he likes B and C equally, and he likes B four times as much as he likes A. A ...Lone – Divider Method. DM.7. Lone - Divider. One person divides Others choose. Lone – Divider Cont. . 1. Division – divider divides the cake into a specified number of shares (s 1 , s 2 , s 3 ,…etc). Bidding – the choosers determine what they consider to be a fair share. (bid list)Q:1- In the lone- divider out of in number of players, one is choosen as a divides" and the rest as "choosers". (2) The divides divides the goods into i pieces and the choosers" choose from those in pieces which have more value in their eyes. 3 The last piece remaining is assigned to the divides". Now Piece 1 Piece 2 Piece 3 Cindy 26 % 49% 25% ...Find step-by-step Probability solutions and your answer to the following textbook question: Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares $$ s_1, s_2 $$ , and $$ s_3 $$ , the choosers $$ C_1 $$ and $$ C_2 $$ submit their bids for these shares.Expert Answer. Divider-Chooser Method 1. The divider cuts the item into two pieces that are, in his eyes, equal in value: 2. The chooser selects either of the two pieces 3. The divider receives the remaining piece Dustin and Kendra want to split a bag of fun-sized candy, and decide to use the divider-chooser method.Step 1 (Division) – The divider, D, divides the pie into N pieces ( ). The divider knows that he/she will receive one of... Step 2 (Bidding) – Each of the N-1 choosers submits a bid that lists every piece he or she considers to be a fair share... Step 3 (Distribution) – The bid lists are opened. ...Math. Other Math. Other Math questions and answers. Four partners are dividing a million-dollar property using the lone-divider method. Using a map, Danny divides the property into four parcels s1, s2, s3, and s4. The following table shows the value of the four parcels in the eyes of each partner (in thousands of dollars): In the Lone Chooser method, with 3 players, the cake will be split into 6 pieces ... My son and two nephews split a cupcake using the Lone Divider method. The ...another person. The methods in this chapter will guarantee that everyone gets a “fair share” but it might not be the “fair share” he/she wanted. People often refer to fair division as a game. It has players and rules just like a game. The set of goods to be divided is called S. The players P. 1, P. 2, P. 3,…, P. n. are the parties ...Monique is a divider so divider divides the things equally. So the land is divided into 33.3% share to each person by the divider. Now according to lone divider method, persons except the divider will get share first. Share they want are given in table. Cindy wants 44% for piece 1, 24% for piece 2 and 32% for piece 3.Here we describe an envy-free variation of the lone divider method for N = 3 people, proposed independently by John Selfridge, a mathematician at Northern Illinois University, and John Conway, a mathematician at Princeton University. Let A, B, and C be the three people who want to divide the cake. The method has two rounds.Question: Cindy, Jamal, Monique, and Ryan are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are shown below Piece 3 Piece 4 21% 33% Cindy Jamal Monique Ryan Piece 1 Piece 27% 19% 23% 15% 25% 25% 24% 19% 27% 25% 22% 42% 25% 37% Assuming she plays honestly, which pieces should be in Cindy'sLone-Divider Method – How to Fairly Divide a Pie. Posted on March 16, 2015 by Stephanie Blanda. Saturday was the Pi Day of a lifetime – 3/14/15 9:26:53! Hopefully all of you were able to share some delicious pie with your friends and family. When slicing up your pie how can you make sure everyone received a …Lone Divider Method of Fair Division for 3 Players. X divides the item into three pieces, let's call them I, II, and III, each of which in the opinion of X is worth exactly one-third of the total. X will end up getting one of these, yet we don't know which one. This knowledge forces X to make sure that the three pieces are worth one-third each.Question: Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in the eyes of the other players are shown below Piece 1 Cindy Jamal 30 49% Piece 2 Piece 3 28% 42% 30% 21% After …themselves. (They may use the lone-divider method). Then each of the dividers divides his share into equalsubshares. The chooser then chooses one subshare from each of the dividers. The dividers keep the subshares that are left. Robb T. Koether (Hampden-Sydney College) The Lone-Chooser Method Fri, Sep 19, 2014 6 / 15nephews decide to use the lone-divider method to divvy up the estate. One of the nephews divided the estate into four pieces. The table gives partial information as to how each person values each of the four slices. Furthermore, you know that Ted likes A and D equally, he likes B and C equally, and he likes B four times as much as he likes A. A ...Four partners are dividing a piece of land worth $124,800 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing. S1 S2 S3 S4 Jim $6,240 $49,920 $62,400 Jackie $37,440 $37,440 $24,960 Bob $31,200 $31,200 Betty $24,960 $24,960 $62,400 ... Alen Brady, Diane, and Cody ate sharing a cake vahod at 520 using the lone divider method The divider divides the cake into four slices (39 and) The table shows the values of the sons in the eyes of each player Complete parts fa) and (b) below Ak Brady Diane Cody $4 $350 5650 $5.00 58.00 52 5550 56.00 $5.00 $4.00 50 $400 54.00 $5.00 $450 54 57.00 5150 SSD $350 (a) Who was the divider? In the Lone-Divider Method, one player serves as a divider and the other two players serve as choosers. Preliminaries. One of the three players will be the divider; the other two players will …Lone-Divider Method: Example 2 Three players (Paul, Quentin and Rosie) are sharing a cake. The cake is divided into three slices x, y, z. The table on the right gives the value of each slice in the eyes of each of the players. x y z Paul $2 $1 $6 Quentin $3 $3 $3 Rosie $1 $2 $9 Step 1: Bidding. What would each player consider a fair share? Expert Answer. Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in the eyes of the other players are shown below Cindy Jamal Piece 1 Piece 2 Piece 3 26% 46% 28% 20 ...Question: Aaliyah, Lloyd, Trymaine, and Manuel are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are shown below Piece 1 Piece 2 Piece 3 Piece 4 Aaliyah 20% 34% 20% 26% Lloyd 26% 23% 20% 31% Trymaine 22% 43% 19% 16% Manuel 25% 25% 25% 25% If playing honestly, what will Aaliyah's declarationQuestion: Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in the eyes of the other players are shown below Piece 1 Piece 2 Piece 3 21% 49% Cindy Jamal 30% 30% 49% 21% …0:00 The Divider-Chooser Method2:31 Examples 1 and 25:29 Example 317:51 The Lone-Divider Method20:56 Example 428:38 Example 5 - Getting Stuck35:27 Example 6.Step-by-step explanations. Ask Now. Solution. View full explanation with CameraMath Premium. Go Premium. Related Questions. We can solve any math problem. …Other Math questions and answers. QUESTION 12 3- Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (51. 52. and 53). of the choosers' declarations are Chooser 1: (s 2) and Chooser 2: (s 3), which of the following is a fair division of the cake?using the lone-divider method for three players. (b) D gets. s 3: s 1, s 2 s_3: s_1, s_2 s 3 : s 1 , s 2 , and. s 4 s_4 s 4 are recombined into a single piece that is then divided fairly among. C 1, C 2 C_1, C_2 C 1 , C 2 , and. C 3 C_3 C 3 using the lone-divider method for three players. (c) D gets. s 2: s 1, s 3 s_2:s_1, s_3 s 2 : s 1 , s 3 ...Expert Answer. EXPLAIN : If it is possible to give each party a piece …. QUESTION 10 [CLO-1] Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (S1, S2, and S3). If the choosers' declarations are Chooser 1: {S2} and Chooser 2: {S3}, which of ... Question: Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in the eyes of the other players are shown below Piece 1 Cindy Jamal 30 49% Piece 2 Piece 3 28% 42% 30% 21% After …Question: Four partners are dividing a million-dollar property using the lone-divider method. Using a map, Danny divides the property into four parcels 51, 52, S3, and s4. The following table shows the value of the four parcels in the eyes of each partner (in thousands of dollars): Danny Brianna Carlos Greedy 51 S2 S3 S4 $250 $250 $250 $250 $520 $170 $160 $150 $3 Other Math. Other Math questions and answers. 1. Anita, Diane, Piotr, and Nick are going to share a vacation property. The year will be divided into 4 time slots using the lone-divider method. The values of each time slot in the eyes of each payer are shown below.Fair Division: Method of Lone Divider. A selected player - the Lone Divider - divides the goods into N pieces, N being the number of players. The Divider must be willing to accept any of the …While most want to continue working the way they do, remote workers are lonely. That's just one of the stats in the 2020 State of Remote Work Report. * Required Field Your Name: * Your E-Mail: * Your Remark: Friend's Name: * Separate multip...The lone divider method works for any number of parties – we will use N for the number of parties. One participant is randomly designated the divider, and the rest of the participants are designated as choosers.Lone Divider Method There are several generalizations of the divider-chooser method to 3 or more players. The lone divider method. The lone chooser method. The last diminisher method. We will study in detail only the lone divider method. The others are described in the text. Assumptions The value of an object does not decrease when it is cut ... 0:00 The Divider-Chooser Method2:31 Examples 1 and 25:29 Example 317:51 The Lone-Divider Method20:56 Example 428:38 Example 5 - Getting Stuck35:27 Example 6Edward, Frank, George, and Harold want to use the lone divider method to split a piece of land they inherited from their Grandfather. They draw cards to determine that George is the divider. After George divides the land, Edward bids {S3, S4}, Frank bids {S2}, and Harold bids {S3, S4}. Describe the fair division. Lone Divider method Steps: 1. Decide which player is the divider. (roll a die, draw straws, draw cards, buck up. . . ) 2. he Divider cuts the cake into 3 slices (S 1, S 2, and S 3). The cut must be fair to the divider (Each slice must be worth 1/3 of the whole cake). 3.7. Maggie, Meredith, Holly, and Zoe are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are show below. Piece 1 Piece 2 Piece 3 Piece 4 Maggie 21% 27% 32% 20% Meredith 27% 29% 22% 22% Holly 23% 14% 41% 22% Zoe 25% 25% 25% 25% a. Who was the divider?Moving Knife Method. In this method, applied to a cake, A referee starts moving a knife from left to right across a cake. As soon as any player feels the piece to the left of the knife is worth a fair share, they shout “STOP.”. The referee then cuts the cake at the current knife position and the player who called stop gets the piece to the .... The divider-chooser method (also called the you cut–I choose method) can be used when the fair-division game involves two players and a continuous set S As this name suggests, one player, called the divider, divides S into two shares, and the second player, called the chooser, picks the share he or she wants, leaving the other share to the ... Four partners are dividing a million-dollar property using the lone-divider method. Using a map, Danny divides the property into four parcels s 1 , s 2 , s 3 , and s 4 . The following table shows the value of the four parcels in the eyes of each partner (in thousands of dollars): s 1 s 2 s 3 s 4 Danny $250 $250 $250 $250 Brianna $460 $180 $200 $160 Carlos $260 $310 …A fair resolution according to Lone Divider would be [ Select ] ["Rita gets S3, Stu gets S1, Tammy gets S2", "Rita gets S1, Stu gets S3, Tammy gets S2", "Tammy gets S1, then Rita and Stu recombine S2 and S3 to re-divide according to Divider-Chooser"] ... The apportionment method of Lowndes is a quota method that works as follows. As a ...two of them, with Andy the divider and Bob the lone chooser. Robb T. Koether (Hampden-Sydney College) The Lone-Chooser Method Fri, Feb 23, 2018 8 / 18. Example ... The Lone-Chooser Method Fri, Feb 23, 2018 15 / 18. Example Example (The Lone-Chooser Method - 3 Players) What if Chuck were the ﬁrst divider, Bob the ﬁrst lone chooser,Feur partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into four shares s1,s2; s3, and s4, the choesers C1,C2, and C3 submit the following bids: C1:{s3}:C2:{s3,s4};C3:{s3,s4}. For each of the divisions in parts (a) through (d) below, determine if it is a far division or not.Question: -98467?module_item_id=1534977 Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in the eyes of the other players are shown below Piece 1 Piece 2 Piece 3 ... Example 8.4.1 8.4. 1: Method of Sealed Bids, #1. Three heirs, Alice, Betty and Charles inherit an estate consisting of a house, a painting and a tractor. They decide to use the method of sealed bids to divide the estate among themselves. The players each submit a list of bids for the items.Math. Advanced Math. Advanced Math questions and answers. Cindy, Jamal, Monique, and Ryan are dividing a piece of land using the lone-divider method. The values of the four pieces of …Educators. Chapter Questions. 19:22. Problem 1. Henry, Tom, and Fred are breaking up their partnership and dividing among themselves the partnership's real estate assets equally …Four partners are dividing a million-dollar property using the lone-divider method. Using a map, Danny divides the property into four parcels S,, $2, $3, and s,. The following table shows the value of the four parcels in the eyes …Question: Five players (A, B, C, D, and E) agree to divide a cake fairly using the Lone-Divider method of fair division. The table below shows how each player values ... Question: Five players (A, B, C, D, and E) agree to divide a cake fairly using the Lone-Divider method of fair division. The table below shows how each player values ...First we have to state the Lone divider method. Lone divider method is a method in which a piece/ thing is divided among N number of players/participants . Among these N players one is chosen as Divider (say D) and rest N-1 are called choosers. Given. Cost of pizza = $27. They make Huey the divider. Note: The divider (D) always tries to divide ...Net Wage. This can be any number from one to one hundred. The Lone-Divider Method for N players dividing a pie can be described by the following process: Preliminaries – As the name suggests, one of the players is chosen to be the divider, D, while the other N-1 …. Standard deviation calculator. 15% = 10% / 2 + 10%.Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in …Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The values of the three pieces of land in …Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politicsThe Simpsons rent a holiday house costing 300 USD for the security deposit plus 150 USD per day. Let n be the number of days they stay in the house and C the cost of renting the hExpert Answer. 100% (1 rating) Transcribed image text: Alen Brady, Diane, and Cody ate sharing a cake vahod at 520 using the lone divider method The divider divides the cake into four slices (39 and) The table shows the values of the sons in the eyes of each player Complete parts fa) and (b) below Ak Brady Diane Cody $4 $350 5650 $5.00 58.00 52 ...Christina, Francesca, Kimberlé, and Ben are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are shown below; This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.Measuring speed requires time (T) and a known distance (D). Using the formula distance = rate x time (D=R*T), one determines the average speed by dividing distance by time, or R = D/T. This method assumes the object being measured is alread...Group of answer choices $47,760 $39,800 $31,840 $23,880 Cannot be determin. Four partners are dividing a piece of land worth $159,200 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing. S1 S2 S3 S4 John $47,760 $47,760 Jackie …The Lone-Divider Method for 3 Players Deﬁnition (The Lone-Divider Method for 3 Players) Thelone-divider methodproceeds as follows. 1 A divider is chosen at random. The other two players are the choosers. 2 The divider divides the assets into three shares s1, s2, s3. He values each at 1/3 of his total value. 3 Each chooser writes down ...Lone Divider method The Lone Divider Method is a fair division scheme that can be used to divide a bounty between three or more players. As the name implies, there is only one divider …The Lone-Divider Method is a fair-division method that works for multiple-player, continuous fair-division games. Example: Helga, Igor and Jade are trying to divide a cake fairly. They draw straws and Helga ends up as the divider. Igor and Jade are the choosers. Step 1: Division. Educators. Chapter Questions. 19:22. Problem 1. Henry, Tom, and Fred are breaking up their partnership and dividing among themselves the partnership's real estate assets equally …Copeland’s Method. In this method, each pair of candidates is compared, using all preferences to determine which of the two is more preferred. The more preferred candidate is awarded 1 point. If there is a tie, each candidate is awarded 12 1 2 point. After all pairwise comparisons are made, the candidate with the most points, and hence the ...Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politicsexample shows that this method does not guarantee a fair division. To handle division with 3 or more parties, we’ll have to take a more clever approach. Lone Divider The lone divider method works for any number of parties – we will use N for the number of parties. One participant is randomly designated the divider, and the rest of the ...Find step-by-step Probability solutions and your answer to the following textbook question: Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares $$ s_1, s_2 $$ , and $$ s_3 $$ , the choosers $$ C_1 $$ and $$ C_2 $$ submit their bids for these shares. Characteristics of The Lone Chooser Method • Three player system • 3-step process: 1) Division; 2)Subdivision; 3)Selection • All players are Dividers, except one who is the Chooser. The dividers divide the booty into N-1 shares and each divider takes a piece. • The Dividers then sub-divider their pieces into N-1 pieces. • The Lone ...1.5 The Method of Pairwise Comparisons 1.6 Fairness Criteria and Arrow’s Impossibility Theorem. 2 The Mathematics of Power. 2.1 An Introduction to Weighted Voting 2.2 Banzhaf Power 2.3 Shapley-Shubik Power 2.4 Subsets and Permutations. 3 The Mathematics of Sharing. 3.1 Fair-Division Games 3.2 The Divider-Chooser Method 3.3 The Lone …MacBook Pro Four partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into four sharess C: (53): Cz: {53, 54: Cz: (83.54). For each of the divisions in parts (a) through (d) below, determine if it is a fair division or not. If not, explain w (a) D gets 32:54, 53, and s, are ...Lone Divider Method (by Hugo Steinhaus) for 3 players: Bob, Carol, Ted Bob divides the cake into 3 pieces: X, Y, Z case 1: Carol approves of X Ted approves of Y give Z to Bob case 2: Carol and Ted both approve of X, and both disapprove of Z merge X and Y, then XY is greater than 2/3 let Carol and Ted do a divide and choose for 2 on XY 5.9: Exercise-2- Exploration. 1. This question explores how bidding dishonestly can end up hurting the cheater. Four partners are dividing a million-dollar property using the lone-divider method. Using a map, Danny divides the property into four parcels s1 s 1, s2 s 2, s3 s 3, and s4 s 4.Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3). 10) If the chooser's declarations are Chooser 1: (s2} and Chooser 2: {s2)}, which of the following is a fair 10) division of the cake?You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: QUESTION 12 3- Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (51. 52.5.9: Exercise-2- Exploration. 1. This question explores how bidding dishonestly can end up hurting the cheater. Four partners are dividing a million-dollar property using the lone-divider method. Using a map, Danny divides the property into four parcels s1 s 1, s2 s 2, s3 s 3, and s4 s 4.If Roy is the divider, find a possible division that is consistent with his value system. In this division, one half contains: Snickers Milky Ways Reese's. 5. Kori, Hillary, Tatiana, and Riley are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are shown belowQuestion: Five players (A, B, C, D, and E) agree to divide a cake fairly using the Lone-Divider method of fair division. The table below shows how each player values ...Math. Advanced Math. Advanced Math questions and answers. Question 5 50/2 pts 100 99 Details Vanessa, Erica, Brianna, and Jane are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are shown below Piece 2 23% Piece 1 22% 18% 23% 25% Vanessa Erica Brianna Jane 30% …Lone Divider The lone divider method works for any number of parties – we will use N for the number of parties. One participant is randomly designated the divider, and the rest of the participants are designated as choosers. The method proceeds as follows: 1) The divider divides the item into N pieces, which we’ll label s1, s2, …, sN. lone divider. a cake division procedure that works for only three players and produces an allocation that is proportional, but not always envy-free. lone chooser. a cake division procedure in which the dividers allocate their shares into "n" pieces and the chooser selects one piece from each divider. ... Method of Sealed Bids.The following table shows the value of the parcels in the eyes of each partner S1 S2. Three partners are dividing a piece of land worth $81,000 among themselves using the lone-divider method. The table indicates that [ Select ] ["Rita", "Stu", "Tammy"] was the divider. The Lone-Divider Method for N players dividing a pie can be described by the following process: Preliminaries - As the name suggests, one of the players is chosen to be the divider, D, while the other N-1 players act as choosers.Four partners are dividing a piece of land worth $124,800 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing. S1 S2 S3 S4 Jim $6,240 $49,920 $62,400 Jackie $37,440 $37,440 $24,960 Bob $31,200 $31,200 Betty $24,960 $24,960 $62,400 ... Precalculus questions and answers. Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares S1, S2, and S3, the choosers Cy and C2 submit their bids for these shares. Complete parts a and b below. (a) Suppose that the choosers' bids are C1: {S2, S3}; C2: {-1}.The following table shows the value of the parcels in the eyes of each partner S1 S2. Three partners are dividing a piece of land worth $81,000 among themselves using the lone-divider method. The table indicates that [ Select ] ["Rita", "Stu", "Tammy"] was the divider.Textbook solution for Excursions in Modern Mathematics (9th Edition) 9th Edition Peter Tannenbaum Chapter 3 Problem 32E. We have step-by-step solutions for your textbooks written by Bartleby experts!Cindy, Jamal, and Monique are dividing a piece of land using the lone-divider method. After flipping coins, Monique has been selected to be the divider, and divides the land into three pieces. The val...Applied Mathematics. Math in Society (Lippman) 5: Fair Division. 5.2: Divider-Chooser.Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3). 10) If the chooser's declarations are Chooser 1: (s2} and Chooser 2: {s2)}, which of the following is a fair 10) division of the cake?Lone Divider The lone divider method works for any number of parties – we will use N for the number of parties. One participant is randomly designated the divider, and the rest of the participants are designated as choosers. 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