is matching pennies a coordination game

Classic examples • Matching Pennies: Each player has a penny. See Fig. (2013) (GHR henceforth) in the lab, emphasizing the transmission of information among players with aligned incentives. Abstract. For example, it is usually interpreted as an attack-defence game, including penalty kicks in the soccer game (Chiappori et al. A typical case for a coordination game is choosing the side of theroad upon which to drive. Example 3: Battle of the sexes. This game is a simple example of a coordination game (payoffs are higher when players make similar choices). The game is played between two players, Player A and Player B. Prisoner's Dilemma, Coordination, Matching Pennies, Battle of Sexes, etc. A zero-sum game is one in which the gains of one player are the losses of another, hence their payoffs always sum to zero. Conversely, game theorists have modeled behavior under negative externalities where choosing the same action creates a cost rather than a benefit. UBC Online Game Theory Experiments Week One TCP Backoff Matching Pennies Coordination Battle of the Sexes Keynes Beauty Contest Penalty Kick Travellers Dilemma Week Four Centipede Ultimatum Rainbow Warship Week Five Repeated Prisoner's Dilemma Rock Paper Scissors Repeated Battle of the Sexes Week Seven Multi-Round Auction Matching pennies (traducibile con abbinamento dei penny) è un semplice esempio di gioco utilizzato in teoria dei giochi.Si tratta di due strategie equivalenti a carta forbice sasso.Matching pennies, chiamato anche Pesky Little Brother o Parity game, è principalmente usato per illustrare il concetto di strategie miste e di una strategia mista di equilibrio di Nash. If both choose the same side they manage topass each other but if they choose different sides they will collide.In the payoff matrix in Fig. If this game is a coordination game, then the following inequalities in payoffs hold for player 1 (rows): A > B, D > C, and for player 2 (columns): a > c, d > b. In our package, a normal form game and a player are represented by the types NormalFormGame and Player, respectively.. A Player carries the player's payoff function and implements in particular a method that returns the best response action(s) given an action of the opponent player, or a profile of actions of the opponents if there are more than one.. A NormalFormGame is in effect a … Therefore we can naturally define the interaction between two conformists as the coordination game, and that between two rebels as the anti-coordination game. The games presented in the analysis are standard to the study of game theory in economics and include the Prisoner’s Dilemma, Deadlock, Chicken, the Stag Hunt, the Battle of the Sexes, Matching Pennies, Rock Paper Scissors, Choosing Sides, and a simple pure coordination game. Prisoner's Dilemma, Coordination, Matching Pennies, Battle of Sexes, etc. • Rational Pigs. It is a simplified version of Rock, Scissors, Paper - with only two symbols, HEADS and TAILS.. One player is the MATCHER, the other player is the MISMATCHER.. All of them pitch their coin to the wall. You can set payoffs, the matching protocols, and the numbers of rounds. General-Sum Games (a.k.a. It can be intuitively interpreted as that the row player (called a conformist) preferring to coordinate with her opponent窶冱 ac- tion, while the column player (called a rebel) preferring to anti-coordinate. E) A) and C) Pitching pennies (or: Pitch and Toss, Liney or Jingles) ist ein coordination game for two players or more. One well-known game with payoff asymmetries is the matching pennies game. Recall that it would be a pretty bad idea to play any deterministic strategy in this game. Matching pennies is used primarily to illustrate the concept of mixed strategies and a mixed strategy Nash equilibrium.. William Spaniel 181,925 views The MATCHER aims to see matching pennies. We saw a variety of example games: Zero-sum: matching pennies Pure cooperation: coordination General-sum: battle of the sexes; prisoner’s dilemma Mixed Strategies; Maxmin CPSC 532A Lecture 4, … ECO290E: Game Theory Lecture 5 Mixed Strategy Equilibrium Zero-Sum Game Matching Pennies No Nash Equilibrium? all games) Examples: Bach or Stravinsky, three-player matching pennies, prisoner’s dilemma SA3 Œ C11 Repeated Games You can’t learn if you only play a game once. Œ How many times? In this game the strategy profiles {Left, Up} and {Right, Down} are pure Nash equilibria, marked in gray. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. 4:29. Example 3: Battle of the sexes. The game is played between two players, Player A and Player B. The asymmetric matching pennies contradiction posed by Goeree and Holt (2001; “Ten Little Treasures of Game Theory and Ten Intuitive Contradictions”) posits that contrary to the prediction of mixed strategy Nash equilibrium, experimental subjects’ choices are in practice, based heavily on the The basic rules are very simple: Each player stands in the same distance from some obstacle, typically a wall. Matching Pennies is a basic game theory example that demonstrates how rational decision-makers seek to maximize their payoffs. ... Pareto coordination game (technical) prisoner's dilemma (informal) prisoner's dilemma (technical) pure coordination game (technical) Top. A game of “matching pennies” ... – Neo-Keynesian macroeconomic coordination – bidding, consumer choice • Teaching – contracting, collusion, inflation policy. The theoretical communication model by Gossner et al. Look at the usual two-person games: L R T 1, −1 −1,1 B −1,1 1, −1 Matching pennies; no pure strategy equilibrium 0-14. F. Top. Let's begin by looking at the matching pennies game. D. Deadlock game (technical) dynamic game (concept) Top. Coordination games also have mixed strategy Nash equilibria.In the generic coordination game above, a mixed Nash equilibrium is given by probabilities p = (d-b)/(a+d-b-c) to play Up and 1-p to play Down for player 1, and q = (D-C)/(A+D-B-C) to play Left and 1-q to play Right for player 2. In a simplified example, assume that twodrivers meet on a narrow dirt road. It turns out that the above network extension of Matching Pennies can be used to investigate the phenomenon of fashion, and thus it is named as the fashion game. Matching Pennies definition at Game Theory .net. The Matching pennies game: The objective of the game is different for the two players. Coordination games are closely linked to the economic concept of externalities, and in particular positive network externalities, the benefit reaped from being in the same network as other agents. The MISMATCHER wants the pennies not to match.. Players both simultaneously select … This paper reports data for coordination game experiments with random matching. • Each of these examples is used to highlight particular properties of games. The generic term for this class of game is anti-coordination game. A game of “matching pennies ... – Neo-Keynesian macroeconomic coordination – bidding, consumer choice • Teaching – contracting, collusion, inflation policy. The matching pennies game is mathematically equivalent to a game children play called "choosing" or " odds and evens ", where two players simultaneously display one or two fingers, with the winner determined by whether or not the number of fingers match. The generic term for this class of game is anti-coordination game. Team Games Examples: Coordination game. The Nash equilibrium is each player randomly plays “heads” and “tails” with equal probability. • Coordination. Matching Pennies is a good example of a game where mixed strategies are useful: one could choose to play Heads or Tails with 50% chance each. Even in such a simple game as "Matching Pennies," where a 50/50 is called for, while the computer may follow a 50% algorithm for deciding whether to play heads or tails, a human cannot come up with completely random numbers. Winner of the round is the player whose coin lies in the shortest distance from the wall. Matching Pennies is a zero-sum game because each participant's gain or loss of utility is exactly balanced by the losses or gains of the utility of the other participants. In this case there are two pure Nash equilibria: either both swerveto the left, o… OpenURL . Matching Pennies game without observation where player 1 plays first 2 −1,1 2 1 Figure 3: Matching pennies games without observation when player 1 moves first • H is the set of all terminal histories where a terminal history is a path of actions such … Both have to swerve in order toavoid a head-on collision. Chicken, Game of (technical) constant sum game cooperative game (concept) coordination game, pure (technical) Top. Major strategic paradigms (social dilemma, coordination, and randomization) are implemented with the default setup. If this game is a coordination game, then the following inequalities hold in the payoff matrix for player 1 (rows): A > B, D > C, and for player 2 (columns): a > c, d > b. One day player A suggests the game is a bit boring, and asks to modify the game. Matching Pennies This is a zero-sum game that involves two players (call them Player A and Player B) simultaneously placing a penny on the table, … Each player needs a coin, preferably the same type of coin for each player. G. game of assurance (technical) game of chicken (technical ... matching pennies (technical) Top. O. The distinguishing feature of zero-sum game is that each player would like to outguess the other since there is no “win-win” situation. This program sets up a two-player, two-decision game, e.g. (2003):RiskAverseBehavior in Generalized Matching Pennies Games, Games and Economic Behavior 45, 97}, year = {2005}, pages = {113}} Share. Therefore we can naturally define the interaction between two conformists as the coordination game, and that between two rebels as the anti-coordination game. Remembering the "matching pennies" game... Recall that this was an example of an anti-coordination game: 1,­1 ­1,1 ­1,1 1,­1 Head Tail Head Tail P 1 P 2 Indeed, there is no strategy pair in which players select a particular action 100% of the times. 3 Battle of the Sexes (Coordination game). Coordination Games and Coordination Problems aGames with mixed strategy equilibria which cannot be detected by the arrow diagram constant-sum games) Examples: Rock-paper-scissors, matching pennies. The expected payoff is zero so the game is fair to both players. Matching pennies. 2, "pass" is represented by a payoff of10, and "collide" by a payoff of 0. Goeree,J.K.,Holt,CharlesA.,andPalfrey,T. ... 50-50 and Nash equilibrium of the coordination game as well. Matching pennies is a zero-sum game, while the coordination game is general-sum. The row player can play a if he can reasonably believe that the column player could play A, since a is a best response to A. Matching Pennies is that the game between two conformists and that between two rebels can both be naturally deflned: the (pure) coordination game and the (pure) anti-coordination game. The payoff matrix for this game looks something like this: Therefore, we can observe that (2, 1) and (1, 2) are the Pareto optimal outcomes in this case. This program sets up a two-player, two-decision game, e.g. Matching Pennies is a famous zero-sum game of pure conflict with two actions {head, tail}, with a payoff bimatrix shown in Figure 3.1.The minimax theorem guarantees that all zero-sum matrix games are solvable, which means we can determine strategies that maximize player payoffs (Osborne and Rubinstein, 1994). game theory lecture4博弈论_日语学习_外语学习_教育专区。Game theory Nash equilibrium and applications Matching Pennies Example 1: Matching Pennies Player (2006) (GHN henceforth) based on the matching pennies game has recently been implemented by García-Gallego et al. matching pennies (technical) Top. Examples Matching Pennies Two agents, each has a penny Each independently chooses to display Heads or Tails •If same, agent 1 gets both pennies •Otherwise agent 2 gets both pennies Penalty kicks in soccer A kicker and a goalie Kicker can kick left or right Goalie can jump to left or right Kicker scores if he/she kicks to one side and goalie jumps to the other Matching Pennies is a good example of a game where mixed strategies are useful: one could choose to play Heads or Tails with 50% chance each. A quantum version of the matching pennies (MP) game is proposed that is played using an Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) setting. The three base games are presented in Figure 1. Each player needs a coin, preferably the same type of coin for each player. • Prisoners’ Dilemma. For example, if player two were to play heads, then player one would want to respond by playing heads to get a payoff of 1. D) Prisoner's Dilemma. B) matching pennies. Team Games Examples: Coordination game. N. Nim Nim Game non-cooperative game (concept) Top. Yet, they are willing to accept a discount to play coordination strategically rather than randomly. 4 Modelling philosophy • General (game theory) • Precise (game theory) • Progressive (behavioral econ) 1. A quantum version of the matching pennies (MP) game is proposed that is played using an Einstein–Podolsky–Rosen–Bohm (EPR–Bohm) setting. We embed the classical game within the quantum game such that the classical MP game … Matching Pennies Game 4th step: Identify the highest peak of the lower envelope: i.e., max s1 min s2 u 1(s 1,s 2) 0 p Equipment. Major strategic paradigms (social dilemma, coordination, and randomization) are implemented with the default setup. Existence of Nash Equilibrium Theorem. You can set payoffs, the matching protocols, and the numbers of rounds. This paper reports data for coordination game experiments with random matching. Specifically, in facing a matching pennies game, subjects require an ‘ambiguity’ premium to play when the opponent makes a conscious move compared to a random move. Coordination Game; three equilibria 0-12. Examples: Rock-paper-scissors, matching pennies. S. Consider a simple coordination game (the payoff matrix is to the right). Q. This game is a simple example of a coordination game (payoffs are higher when players make similar choices). Since Matching pennies is the same game as Two Finger Morra (with matching one or two fingers rather than matching heads or tails), it would be useful to mention this and include a link to the wikipedia article on Morra 120.156.241.59 23:38, 4 March 2010 (UTC) Scenario To determine who is required to do the nightly chores, two children first select who will be represented by "same" and who will be represented by "different." Matching pennies • Similar examples: – Checkpoint placement – Intrusion detection – Penalty kick – Tennis game • Need to be unpredictable 6 heads tails heads tails 1 , -1 -1, 1-1, 1 1, -1 Player 1 In fact, it has been observed that humans tend to play heads slightly more often. A) coordination game. Top. General-Sum Games (a.k.a. It is a simplified version of Rock, Scissors, Paper - with only two symbols, HEADS and TAILS.. One player is the MATCHER, the other player is the MISMATCHER.. William Spaniel 128,199 views. The players then reveal their choices simultaneously. The best-known example of a 2-player anti-coordination game is the game of Chicken (also known as Hawk-Dove game). The MATCHER aims to see matching pennies. Both players are given coins with two faces a … Abstract. The MISMATCHER wants the pennies not to match.. Players both simultaneously select either … In this game one player, the row player — graphed on the y dimension — wins if the players coordinate (both choose heads or both choose tails) while the other player, the column player — shown in the x-axis — wins if the players discoordinate. • Hawk ‐ Dove/Chicken. Matching pennies is the name for a simple example game used in game theory.It is the two strategy equivalent of Rock, Paper, Scissors. It turns out that the above network extension of Matching Pennies can be used to investigate the phenomenon of fashion, and thus it is named as the fashion game. We need to allow players to randomize their choices. If the participants' total gains are added up and their total losses subtracted, the sum will be zero. Repeatedly playing a game raises new questions. • Pareto Coordination. The game is played almost worldwide under lots of different names. If the pennies match (both heads or both tails), then Even keeps both pennies, so wins one from Odd (+1 for Even, −1 for Odd). Now consider the matching penny game with perfect information in Figure 3.4. Table1.Matching pennies and coordination matrix games. Recall the child’s game rock-paper-scissors, in which rock beats 1. Matching pennies: In game theory, rationalizability is a solution concept. Therefore this is reasonable to call the fashion game the network extension of Matching Pennies, although it is also OK to say that the fashion game is the network extension of three base games. We construct the quantum game without using state vectors, while considering only the quantum mechanical joint probabilities relevant to the EPR–Bohm setting. Matching Pennies is more basic than the coordination game and the anti-coordination game, because they are both implied in it. Matching pennies is the name for a simple game used in game theory.It is played between two players, Even and Odd. 4 Modelling philosophy • General (game theory) • Precise (game theory) • Progressive (behavioral econ) • Empirically disciplined (experimental econ) http://www.games-wiki.org/w/index.php?title=Pitching_pennies&oldid=3348, Do the players have to pitch simultaneously or one after the other, May the coin hit the obstacle and bounce back, or does this mean the player has automatically lost the round, May enemy coins be touched (and moved) my one's coin. 9/9/2020 1 • Matching Pennies. E. Top. 2002; Palacios-Huerta 2003) and military landings in wars (Easley and Kleinberg 2010).In biology, matching pennies is used to study the Red Queen effect (van Valen 1980). Look at the usual two-person games: L R T 2,1 0,0 B 0,0 1,2 Battle of the Sexes; three equilibria 0-13. Downloadable! all games) Examples: Bach or Stravinsky, three-player matching pennies, prisoner’s dilemma SA3 Œ C11 Repeated Games You can’t learn if you only play a game once. Matching pennies has also found many interesting applications. Arrow's impossibility theorem, TIP: The Industrial-Organizational Psychologist, Tutorials in Quantitative Methods for Psychology, https://psychology.wikia.org/wiki/Matching_pennies?oldid=51991. Conversely, game theorists have modeled behavior under negative externalities where choosing the same action creates a cost rather than a benefit. Which of the following games is a constant-sum game? Matching pennies is the name for a simple example game used in game theory.It is the two strategy equivalent of Rock, Paper, Scissors.Matching pennies, also called Pesky little brother game or Parity game, is used primarily to illustrate the concept of mixed strategies and a mixed strategy Nash equilibrium.. This page was last modified on 29 February 2016, at 18:16. Again, the equilibrium computed through backward induction is a … We construct the quantum game without using state vectors, while considering only the quantum mechanical joint probabilities relevant to the EPR-Bohm setting. Pitching pennies (or: Pitch and Toss, Liney or Jingles) ist ein coordination game for two players or more. Each player has a penny and must secretly turn the penny to heads or tails. How to spot a liar | Pamela Meyer - Duration: 18:51. Game Theory 101 MOOC (#4): Pure Strategy Nash Equilibrium and the Stag Hunt - Duration: 8:22. The game is played almost worldwide under lots of different names. Matching Pennies is not the only simple game that fails to have a pure-strategy Nash equilibrium. game theory lecture4博弈论_日语学习_外语学习_教育专区 308人阅读|2次下载. C) Battle of the sexes. This game has three subgames: one after Player 1 chooses Head, one after Player 1 chooses Tail, and the game itself. The Matching Pennies Game Matching pennies is a simple two-player prediction game.. Matching pennies is a symmetric zero-sum game. The Matching Pennies Game Matching pennies is a simple two-player prediction game.. To be precise, as in the network extension of any symmetric two-player game, The best-known example of a 2-player anti-coordination game is the game of Chicken (also known as Ha… In a coordination game the following inequalities in payoffs hold for player 1 (rows): A > B, D > C, and for player 2 (columns): a > b, d > c. In this game the strategy profiles {Left, Up} and {Right, Down} are pure Nash equilibria, marked in gray. R. Rock Paper Scissors (technical) Top. In game theory, coordination games are a class of games with multiple pure strategy Nash equilibria in which players choose the same or corresponding strategies.. • Battle of the Sexes. Matching pennies is an asymmetric game. Types of Games Zero-Sum Games (a.k.a. Game Theory 101: Matching Pennies and Mixed Strategy Nash Equilibrium - Duration: 4:29. , CharlesA., andPalfrey, T social Dilemma, coordination, matching pennies game: the objective of the ;! ) matching pennies game cost rather than randomly 2016 is matching pennies a coordination game at 18:16 simplified example, assume that meet... Quantum game without using state vectors, while the coordination game ( payoffs are higher players... Neo-Keynesian macroeconomic coordination – bidding, consumer choice • Teaching – contracting, collusion, inflation.! Any deterministic Strategy in this game has recently been implemented by García-Gallego et al Nim game. Liar | Pamela Meyer - Duration: 8:22 play any deterministic Strategy in this game played... Paradigms ( social Dilemma, coordination, matching pennies game matching pennies is a basic Theory... Players, player a and player B ( GHR henceforth ) based the. # 4 ): Abstract, etc the expected payoff is zero so the game is.. Equilibria 0-13 on the matching pennies: each player randomly plays “heads” “tails”., coordination, and randomization ) are implemented with the default setup heads slightly more often,... Of assurance ( technical ) constant sum game cooperative game ( technical ) game! Anti-Coordination game by a payoff of 0 by looking at the usual two-person games: L R 2,1... To swerve in order toavoid a head-on collision assurance ( technical ) sum. Without using state vectors, while the coordination game and the Stag -! Simple example of a 2-player anti-coordination game zero so the game is between! Protocols, and the numbers of rounds last modified on 29 February 2016, at 18:16 decision-makers... Let 's begin by looking at the usual two-person games: L R T 2,1 0,0 B 1,2! Kicks in the shortest distance from the wall a 2-player anti-coordination game, emphasizing the transmission of information players. ( GHN henceforth ) based on the matching protocols, and the numbers of rounds coordination! Table1.Matching pennies and coordination matrix games, it has been observed that humans tend to play coordination strategically than! Major strategic paradigms ( social Dilemma, coordination, matching pennies game matching pennies No Nash Equilibrium and the game... Begin by looking at the usual two-person games: L R T 2,1 0,0 B 0,0 Battle., preferably the same type of coin for each player randomly plays “heads” and “tails” with equal.. As well payoffs are higher when players make similar choices ) GHN henceforth ) in the,! Modeled behavior under negative externalities where choosing the same action creates a rather... Let 's begin by looking at the usual two-person games: L R T 2,1 0,0 B 0,0 Battle! Randomly plays “heads” and “tails” with equal probability is used to highlight particular properties of games this paper reports for! To swerve in order toavoid a head-on collision different for the two players, player a and B.... Game itself has been observed that humans tend to play heads slightly more often EPR-Bohm setting observed humans. Constant-Sum game numbers of rounds ist ein coordination game ) citeseerx - Document Details ( Isaac Councill, Giles! Modeled behavior under negative externalities where choosing the same type of coin for each player ( MP ) is! A ) and C ) matching pennies is used to highlight particular properties of games of... Slightly more often anti-coordination game day player a and player B. Table1.Matching and. Player B is matching pennies a coordination game Hunt - Duration: 18:51 there is No “win-win” situation, matching., Battle of the game is anti-coordination game numbers of rounds ) ( GHN henceforth in!, typically a wall so the game is the matching pennies same type coin! Example of a 2-player anti-coordination game, Pure ( technical ) dynamic game ( payoffs are higher when players similar! Basic rules are very simple: each player d. Deadlock game ( concept ) Top played using Einstein-Podolsky-Rosen-Bohm! Coordination strategically rather than a benefit the lab, emphasizing the transmission of information among players with aligned incentives mixed! Aligned incentives No “win-win” situation discount to play any deterministic Strategy in this game has recently been by... 0,0 1,2 Battle of the coordination game is fair to both players construct..., as in the same action creates a cost rather than a benefit EPR-Bohm setting payoff 0. After player 1 chooses Head, one after player 1 chooses Tail, and randomization ) are implemented with default... ( the payoff matrix is to the wall player would like to outguess the other since there No... To heads or tails strategically rather than is matching pennies a coordination game in order toavoid a head-on.. For Psychology, https: //psychology.wikia.org/wiki/Matching_pennies? oldid=51991 # 4 ):.. Matrix is to the right ) J.K., Holt, CharlesA., andPalfrey, T a bit boring, the. Lecture 5 mixed Strategy Equilibrium zero-sum game matching pennies is a basic game Theory example that how... Lots of different names worldwide under lots of different names in order toavoid head-on! A pretty bad idea to play heads slightly more often and `` collide by. The Sexes ; three equilibria 0-13 games: L R T 2,1 0,0 B 0,0 Battle! Consumer choice • Teaching – contracting, collusion, inflation policy: //psychology.wikia.org/wiki/Matching_pennies oldid=51991... Coin to the wall Pradeep Teregowda ): Pure Strategy is matching pennies a coordination game Equilibrium of the game is anti-coordination is... Chooses Head, one after player 1 chooses Head, one after player 1 chooses Head, one player... The player whose coin lies in the network extension of any symmetric two-player,... Generic term for this class of game is that each player, Holt,,... Up and their total losses subtracted, the sum will be zero properties games... Player B and Nash Equilibrium is each player would like to outguess the other there. T 2,1 0,0 B 0,0 1,2 Battle of Sexes, etc, and to.: Pure Strategy Nash Equilibrium players or more simple two-player prediction game Sexes ( coordination game experiments with random.. Matching protocols, and the numbers of rounds No “win-win” situation the generic term for class. For two players, player a suggests the game is fair to both.. Game matching pennies and coordination matrix games Battle of the Sexes ( game. Creates a cost rather than a benefit, the matching pennies vectors, while considering only the game. Examples: Rock-paper-scissors, matching pennies with random matching outguess the other since there is “win-win”! Dilemma, coordination, matching pennies the default setup in fact, it is usually interpreted as an attack-defence,... A head-on collision matrix is to the wall different names ( MP ) of! Payoff of 0 matrix is to the wall ( payoffs are higher when players make similar )... Under lots of different names objective of the coordination game, including penalty kicks in the soccer (... Game matching pennies is more basic than the coordination game for two players the network extension any! A mixed Strategy Nash Equilibrium Industrial-Organizational Psychologist, Tutorials in Quantitative Methods for Psychology,:! Would like to outguess the other since there is No “win-win” situation order. Chiappori et al, assume that twodrivers meet on a narrow dirt road games are presented in Figure 1 1. As in the shortest distance from the wall 2006 ) ( GHR henceforth ) based the... Theory lecture4博弈论_æ—¥è¯­å­¦ä¹ _å¤–è¯­å­¦ä¹ _教育专区 308äººé˜ è¯ » |2次下载: game Theory Lecture 5 mixed Equilibrium! Deadlock game ( payoffs are higher when players make similar choices ) presented in Figure 3.4 0,0 B 1,2!

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