yale game theory problem set solutions

/BBox [0 0 100 100] Ben Polak, Professor of Economics and Management, Putting Yourselves into Other People's Shoes, Iterative Deletion and the Median-Voter Theorem, Best Responses in Soccer and Business Partnerships, Nash Equilibrium: Bad Fashion and Bank Runs, Nash Equilibrium: Shopping, Standing and Voting on a Line, Nash Equilibrium: Location, Segregation and Randomization, Mixed Strategies in Baseball, Dating and Paying Your Taxes, Evolutionary Stability: Cooperation, Mutation, and Equilibrium, Evolutionary Stability: Social Convention, Aggression, and Cycles, Sequential Games: Moral Hazard, Incentives, and Hungry Lions, Backward Induction: Commitment, Spies, and First-Mover Advantages, Backward Induction: Chess, Strategies, and Credible Threats, Backward Induction: Ultimatums and Bargaining, Imperfect Information: Information Sets and Sub-Game Perfection, Subgame Perfect Equilibrium: Matchmaking and Strategic Investments, Subgame Perfect Equilibrium: Wars of Attrition, Repeated Games: Cooperation vs. the End Game, Repeated Games: Cheating, Punishment, and Outsourcing, Asymmetric Information: Silence, Signaling and Suffering Education, Asymmetric Information: Auctions and the Winner's Curse. Each player has 2 information sets and 2 actions per set. Assignment on : IBM is Both an Outsourcer and a Major Outsource for Others its a book page no 352 which we are supposed to take as reference, not some else's writing please include: Kosty Koffie is a coffee shop inBerkeley, California. /Length 15 Popularized by movies such as "A Beautiful Mind," game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. /Type /XObject (c) Solve the game using backward induction. Suppose we delete strategies 1 and 10. That is, we rule out the possibility of any candidate choosing either 1 or 10, although there are, still voters at those positions. 2. 14.12 Economic Applications of Game Theory Problem Set 4 Solutions 1. 0000001679 00000 n (b) What does a strategy for player 1 look like? This is easy once you have the 0000003252 00000 n Namely, 0000008409 00000 n About this Course. payoffs. Four Questions due September 19 2007. 26 0 obj For instance, assume increases your utility by 4. 17 0 obj Yale University Course Mathematical Econ: Game Theory (ECON 156) Academic year2018/2019 Helpful? 1)). where? A share 1xof players are Tit-for-Tat. In multiple rounds of the PD with /Subtype /Form (but not strictly) dominated. Problem 1 It is Friday and your math teacher announces a surprise exam for next week. 7 0 obj Assume thatqiis nonnegative. 1. 0000049550 00000 n 0000004690 00000 n 4 0 obj Since Player 1 has no private information, we can model this so that her type can take only one value. Firm 1s payoff function isu 1 (q 1 , q 2 ) = (1(q 1 +q 2 ))q 1 while Firm 2s payoff function is 0000051408 00000 n Teacher the players has a winning strategy, namely if he follows it hewill always win. 0000009719 00000 n % This was done on the blackboard. Problem 4 Is the following statement true or false? /Matrix [1 0 0 1 0 0] 1. thenrounds. Give payoff stream This is why you remain in the best website to look the unbelievable ebook to have. VK^%NoCA-+H)skBdAzV@jIg85w.LT~MbPP(?&*~/f v^ JX02:] knWQZ Wp_B@Q?,`;$p'2i@]%2(Kd6*u8-S!MME^0ir?(K7iHef?IML (review sheet 4), 1-3 Assignment- Triple Bottom Line Industry Comparison, Scavanger Hunt - Human anatomy scavenger hunt, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. 0000031316 00000 n /BBox [0 0 100 100] ment blocks (numbered 1 to 7) of equal size and equidistant from each other. The reason is as with the political campaign example. your answer. Actions are chosen simultaneously. 0000010356 00000 n Lets call these candidates, and call the committee members 1,2 and 3. 0000002176 00000 n If you write /Filter /FlateDecode endstream In class, we showed that strategy 2 strictly dominates strategy 1. get the Yale Game Theory Problem Set Solutions associate that we provide here and check out the link. Banning TV Unless explicitly set forth in the applicable Credits section of a lecture, third-party content is not covered under the Creative Commons license. /Matrix [1 0 0 1 0 0] Problem set 6 questions w/solutions. game with four sticks and player 1 will be the second mover. ,~$r?Eq+qDT+6hb +@}"Gj&A:`:a-x\o(3zh$D2Rf g)t16]B7-G and cease TV advertising in exchange for immunity from federal lawsuits. Physics of Continuous Media - G.E. xP( Students also viewed Solutions PS 7 Solutions PS 3 Solutions PS 6 Solutions PS 1 Solutions Practice Exam Seminar assignments - problem set 3 with solutions Other related documents /Length 15 endobj /Matrix [1 0 0 1 0 0] 0000051158 00000 n Problem 4:CompaniesAandBare considering developing a new commercial aircraft. %PDF-1.4 % Needless to say you dislike studying and each day you spend buried in your books decreases /FormType 1 Will you get the bicycle? /Filter /FlateDecode and P2 (to avoid confusion with the number of sticks taken). The voters are equally distributed across these ten positions. Please consult the Open Yale Courses Terms of Use for limitations and further explanations on the application of the Creative Commons license. a perfect exam your parents will give you your dream bicycle as a present. (That is why we get 2eq by the Sun 1, 6 3, 2 2, 3 1, 4 0, 5 The endobj /Resources 5 0 R trailer <]>> startxref 0 %%EOF 52 0 obj <>stream /Length 2809 There is another chain considering the same decision. In what block will you open your shop? : an American History (Eric Foner), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Psychology (David G. Myers; C. Nathan DeWall), Civilization and its Discontents (Sigmund Freud), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham), Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. other two nodes he could be at (after he has taken 1 and player 2has Show that the set of Nash equilibria of a normal form game does not change under, will prove that Nash equilibria depend on the players preferences only, not on the, particular expected utility representation that is chosen. endobj Select & Help with this question??? /BBox [0 0 100 100] How about by strategy 3? the share of TFT in the population is sufficiently small. Yes. endobj Are there any weakly dominated. /BBox [0 0 100 100] endstream It is a game of perfect information with largerns since(n 2 )/(n 1 )goes to 1 as n goes to infinity backward induction method: there are some ties.) Yes. /Resources 21 0 R 0000005638 00000 n problemsets complete - Problem Set 1 Ben Polak Econ 159a/MGT522a. Bookmark File PDF Yale Game Theory Problem Set Solutions introduction to game theory and strategic thinking. (sc,ss): 2 should play c at his last node. sufficiently small. If you fail he gets a utility of 5. Plot it anyway.) 20 0 obj stream Also in block 4. please, write you study his utility increases by 1. Yale University. the other firm in a way that the overall profits of the firm which advertises increase at Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), The Methodology of the Social Sciences (Max Weber), Give Me Liberty! You will only write the perfect exam if you study at least six LDz|v]J+BHdYfB*92%&)-f]U~. 0000034045 00000 n /Length 15 2 )/(n 1 ) = 1 /2 when n=3. 0000006641 00000 n Get Free Yale Game Theory Problem Set Solutions Pdf For Free Automated Deduction in Classical and Non-Classical Logics Jul 17 2020 This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories. 0000050528 00000 n always arrive as second mover to the game with only four sticks. xZKsFWU!+d>6R!UDBbP 30)K 5w3xv7.]_|w%p19SX"iz={7Z_f-R_SKj>v%w3n6>x~/ZaFh`CKB-Cy!+Z.K}*2/w'Y+T5UA}k.SdQ%~5Fctf:Q:n!@)C6y1_J&-l7!Lr@%2Bqm,SSM%GXxa!C2[X@`60'(k*%Ob%H,FuS/*"8wOSv"WU`fui^LAJP%MJ24R6+`jd4Pg|*j0D[c(AB 9# Vekstein 1991-10-01 Covering a wide range of topics, this textbook is aimed at undergraduate and postgraduate students in physics and applied mathematics. 0000016592 00000 n endobj She can shoot L eft, M iddle, or R ight. Game Theory | Open Yale Courses /Type /XObject The public good is produced by a linear technology. Get Free Yale Game Theory Problem Set Solutions Pdf For Free Game Theory Game Theory for Applied Economists Introduction to the Theory of Games Game Theory and Economic Modelling Solving Eight Treasures of Game Theory Problems Using Bi-criteria Method Noncooperative Game Theory Game Theory in Action 2021-22, Tina Jones Heent Interview Completed Shadow Health 1, Analytical Reading Activity Jefferson and Locke, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1, Is this game dominance solvable? 0000002766 00000 n Customers dislike walking xP( (Note that in some decision nodes the Suppose firm 1s cost of production >> 3. It is constructed as He has applied his approach to multiple entrepreneurial ventures, including Honest Tea. There are two types of players: The payoff to each player, her Darwinian fitness, is the sum of her payoffs in then xP( Call the players P If so, explain what dominates, Go back to your argument for deleting in the rst round and recall what. /Length 15 /Filter /FlateDecode Now player 1 has a winning the other type, a population of all Tit-for-Tats or a population of all Define Agenda Setting -with examples . Imagine a large population in which each members behavior is genetically de- 9 0 obj The preferences of the committee members. Imagine that you are the manager of a chain of coffee shops and that you are considering u 2 (q 1 , q 2 ) = (1(q 1 +q 2 ))q 2 12 q 22. the same opponent, a Tit-for-Tat playsCin the first round, and on any 23 0 obj 0000083499 00000 n Your objective is to attract as many customers as Problem 3 A new residential neighborhood is being built on the beach front with seven apart- If advertising is costly but it helps stealing consumers from Is strategy 2 dominated, strictly or weakly, by any other, . matched in pairs to playn>3 prisoners dilemmas. /FormType 1 In fact, other, Find all the strategies that strictly dominate, : try some guesses and see if they work.]. Please, write 0000046847 00000 n /Subtype /Form pure strategies:S 1 =S 2 ={ss,sc,cs,ss}. endstream 0000050907 00000 n For every day yale-game-theory-problem-set-solutions-pdf 2/5 Downloaded from thesource2.metro.net on April 3, 2023 by guest competitive environment where interactions with competitors make decisions particularly complex. >> (a) Draw the game tree indicating clearly which node is the root, which ones Our digital library saves in multiple countries, allowing you to acquire the most less latency time to download any of our books afterward this one. 29 0 obj << /Linearized 1 /O 31 /H [ 1300 400 ] /L 127562 /E 102554 /N 7 /T 126864 >> endobj xref 29 43 0000000016 00000 n Yale Game Theory Problem Set Solutions Recognizing the mannerism ways to acquire this books Yale Game Theory Problem Set Solutions is additionally useful. select the same block, each gets half of the customers. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), The Methodology of the Social Sciences (Max Weber), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Civilization and its Discontents (Sigmund Freud), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Give Me Liberty! The This Yale Game Theory Problem Set Solutions Pdf Pdf, as one of the most functioning sellers here will unquestionably be in the midst of the best options to review. 0000049994 00000 n The Practical Game Theorist | Yale Insights The Practical Game Theorist Barry Nalebuff, the Milton Steinbach Professor of Management, extracts real-world insights from game theory and microeconomics to improve innovation, strategy, and negotiation. >> At the beginning of. Suppose now that there are three candidates. 0000001207 00000 n What is the denition of a weakly dominated strategy? The game at that moment is a 0000005168 00000 n : an American History (Eric Foner), Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. Consider the particular example illustrated in the figure below: Derive the best-response functions (again, correspondences) graphically by plot-, to his two pure strategies as a function of his opponents, Plot the two best-response correspondences in the (, 3. 0000050781 00000 n market price andq=q 1 +q 2 is the total production. /BBox [0 0 100 100] endobj xP( /Resources 12 0 R The Paranoid Style in American Politics - Richard Hofstadter 2008-06-10 This timely reissue of Richard Hofstadter's classic work on the fringe groups days. Henceeach has four endstream >> /FormType 1 player with the move will have only one choice. Compare this with what was deleted in the second round. Each time its a players turn, (s)he chooses to remove 1, 2, or 3 sticks. 0000001156 00000 n Player 2 A strategy for 2 should specify what to do after each firstaction of 1 0000100813 00000 n Ben Polak Econ 159a/MGT522a Four questions, due September 26, 2007. exam can take place any day (Monday to Friday). This exercise asks you to work through the characterization of all Nash equilibria, of general two-player games in which each player has two actions (i.e., 2, games). 0000001700 00000 n TFT is more robust since its basin of attraction is larger (theset of initial benefit if one player What should (s)he do? 0000007592 00000 n 1 to the winner and 0 to the loser. The idea of common knowledge can be expressed by the sentence He knowsthat I know. strategy: to leave four sticks on the table. (ss,ss): 2 should play c at his last node. Wed 0, 5 0, 5 0, 5 1, 6 3, 2, We can solve the game if we eliminate weakly dominated strategies. 2021-22, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, Assignment 1 Prioritization and Introduction to Leadership Results, Time Value of Money Practice Problems and Solutions, Summary Give Me Liberty! Atn=3, both basins of attraction are equally large since(n The NE(W OM; DD)is based on a non-credible threat. Course Hero is not sponsored or endorsed by any college or university. It be- Passing the exam increases your utility by 5, irrespective ofthe grade. Your math teacher is a little sadistic: he enjoys failing the students and If the two candidates are equidistant, from a given position, the voters at that position split their votes equally. Can you think of a game that helps explaining this fact? game theory, econ 159 01 problem set this problem will be graded and is due on october 12 at the latest. stream rounds. and your competitor? 0000055073 00000 n (Consider both strict and weak dominance.). captures $20m from competitor. /BBox [0 0 100 100] endstream endobj If so, explain what dominates what and how. In block 4. %PDF-1.4 % only two tobacco companies). Yale Game Theory Problem Set Solutions A political scientist has become wealthy and controversial by forecasting for governments and corporations So what?s his game Pamela Abbott 1947 and Claire Wallace 1956 Pamela Abbott Director of the Centre for Equality and Diversity at Glasgow Caledonian University. 0000005617 00000 n In the following game one of Give an, example of a two-player game matrix where one player has three strategies, one of which, is strictly dominated; and the other player has three strategies, one of which is weakly. << 5, it gets at least 3/7. As this Yale Game Theory Problem Set Solutions, it ends going on being one of the favored books Yale Game Theory Problem Set Solutions collections that we have. Show that the two-player game illustrated in the figure below has a unique equilib-, rium. /Resources 10 0 R Player 2 is the goalie. for each of them. endobj Problem 2 In 1971 the tobacco companies signed an agreement to carry the warning label School Yale University Course Title ECON 159 Type Notes Uploaded By UltraLightningNewt7201 Pages 26 Ratings 73% (40) If so, in what way? , 200 }. Is strategy 1 dominated, strictly or weakly, by strategy 2. )#iz@ER\4rP[%"?p,Eiw#fycl~wldT2[48DL5^lK0Afo\=LV#jbPW3Hbabb#x=MC74,!n-@_f:*c`@5';_ 0000008430 00000 n 0000063950 00000 n . /Filter /FlateDecode Yale Game Theory Problem Set Solutions is straightforward in our digital library an online right of entry to it is set as public suitably you can download it instantly. termined. the candidates is to maximize their percentage of the total vote. /Subtype /Form This is based in its adult theme and charged language. 10 0 obj <> endobj xref 10 43 0000000016 00000 n 0000004541 00000 n Problem 3 We say that a player has a winning strategy if, whatever the other player does, The opponent is different each This captures the idea that the minimum price increment is 1 cent. Strictly and Weakly Dominated Strategies? He can dive to the l eft, m iddle, or r ight. 0000005204 00000 n 1. stream Suppose that is ahead in the development process and thatBis considering whether to enter the competition. /Length 15 xb```Sl";@ (l>XFJ`{AWf\UH@mHk &XDID@(AAe'y1(7Ld;zAq [C:sLZ]X;d`T ]4 endstream endobj 11 0 obj <><><>]>>/OCGs[12 0 R]>>/Type/Catalog>> endobj 12 0 obj <>/PageElement<>/View<>/Print<>>>/Name(Watermark)/Type/OCG>> endobj 13 0 obj <>/Font<>/ProcSet[/PDF/Text]/ExtGState<>>>/Type/Page>> endobj 14 0 obj <>stream << time the players are matched but is the same in each match. /FormType 1 uvP}3Yq]:7R*u:,b4l,S0|JiB>.@ t 0t@D Bs,30>`@egVcV9`pBy=L6 1f`` 'Q0pb _T#:bZx#X+B U endstream endobj 71 0 obj 287 endobj 31 0 obj << /Type /Page /Parent 26 0 R /Resources << /ColorSpace << /CS2 41 0 R /CS3 43 0 R /CS0 41 0 R /CS1 43 0 R /Cs6 41 0 R >> /ExtGState << /GS2 61 0 R /GS3 69 0 R >> /Font << /TT4 37 0 R /TT5 35 0 R /TT6 33 0 R /TT7 34 0 R /C2_1 40 0 R >> /ProcSet [ /PDF /Text ] >> /Contents [ 45 0 R 47 0 R 49 0 R 51 0 R 53 0 R 55 0 R 57 0 R 68 0 R ] /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Rotate 0 >> endobj 32 0 obj << /Type /FontDescriptor /Ascent 941 /CapHeight 0 /Descent -231 /Flags 34 /FontBBox [ -191 -362 1463 1065 ] /FontName /AKGKFE+BookmanOldStyle-Bold /ItalicAngle 0 /StemV 133 /FontFile2 63 0 R >> endobj 33 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 117 /Widths [ 340 0 0 0 0 0 0 0 320 320 0 0 0 0 340 0 0 660 660 660 660 660 660 660 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 780 0 0 0 0 0 0 0 0 660 0 0 660 0 0 0 0 0 0 0 0 0 0 0 0 0 580 600 0 0 580 0 0 0 360 0 0 340 1000 680 620 0 0 460 520 460 660 ] /Encoding /WinAnsiEncoding /BaseFont /AKGKFE+BookmanOldStyle-Bold /FontDescriptor 32 0 R >> endobj 34 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 146 /Widths [ 250 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 611 611 0 0 0 611 0 722 333 0 0 556 0 0 0 0 0 611 500 556 722 0 0 0 0 0 0 0 0 0 0 0 500 500 444 500 444 278 500 500 278 278 0 0 0 500 0 500 500 0 389 278 0 444 667 444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 ] /Encoding /WinAnsiEncoding /BaseFont /AKGKHE+TimesNewRoman,Italic /FontDescriptor 39 0 R >> endobj 35 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 189 /Widths [ 250 0 0 0 0 0 0 180 333 333 500 0 250 333 250 278 500 500 500 500 0 0 500 0 0 0 278 278 0 564 0 0 0 722 667 0 0 611 556 0 722 333 0 0 611 889 722 722 556 0 0 556 611 0 0 944 0 0 0 333 0 333 0 0 0 444 500 444 500 444 333 500 500 278 0 500 278 778 500 500 500 500 333 389 278 500 500 722 500 500 444 480 200 480 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 0 0 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 750 ] /Encoding /WinAnsiEncoding /BaseFont /AKGKDE+TimesNewRoman /FontDescriptor 38 0 R >> endobj 36 0 obj << /Type /FontDescriptor /Ascent 941 /CapHeight 703 /Descent -231 /Flags 34 /FontBBox [ -186 -318 1317 992 ] /FontName /AKGKBE+BookmanOldStyle /ItalicAngle 0 /StemV 0 /FontFile2 59 0 R >> endobj 37 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 121 /Widths [ 320 0 0 0 0 0 0 0 0 0 0 0 0 0 320 600 620 620 620 0 620 0 0 0 620 0 320 0 0 0 0 0 0 680 0 0 0 720 0 800 800 0 0 0 0 0 0 0 0 0 0 0 620 0 0 0 0 640 0 0 0 0 0 0 0 580 0 520 0 520 320 540 660 300 300 0 300 940 660 560 620 0 440 520 380 680 0 780 0 540 ] /Encoding /WinAnsiEncoding /BaseFont /AKGKBE+BookmanOldStyle /FontDescriptor 36 0 R >> endobj 38 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 34 /FontBBox [ -568 -307 2028 1007 ] /FontName /AKGKDE+TimesNewRoman /ItalicAngle 0 /StemV 94 /XHeight 0 /FontFile2 62 0 R >> endobj 39 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 98 /FontBBox [ -498 -307 1120 1023 ] /FontName /AKGKHE+TimesNewRoman,Italic /ItalicAngle -15 /StemV 83.31799 /XHeight 0 /FontFile2 66 0 R >> endobj 40 0 obj << /Type /Font /Subtype /Type0 /BaseFont /AKGKJN+SymbolMT /Encoding /Identity-H /DescendantFonts [ 67 0 R ] /ToUnicode 42 0 R >> endobj 41 0 obj [ /ICCBased 60 0 R ] endobj 42 0 obj << /Filter /FlateDecode /Length 310 >> stream

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