Game Theory Payoff Matrix Calculator, (edit | history) Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages. The Explanation 1. Write the probabilities of playing each strategy next to those strategies. Designed to find Nash Equilibria (both pure and mixed strategies) for 2x2, 3x3, and larger payoff matrices, this tool helps graphical method calculator - Solve Game Theory Problem using graphical method, step-by-step online graphical method calculator - Solve Game Theory Problem using graphical method, step-by-step online Further, gamet can identify the solution of a zero-sum game through maximin criterion and the solution of an extensive form game through backward induction. The payoff matrix is closely linked to the concept of Nash equilibrium in game theory, which is often used to analyze oligopolistic market behavior. Download clean reports for lessons, homework, Payoff Matrix and Game Rules Relevant source files Purpose and Scope This page documents the standard Prisoner's Dilemma payoff structure that is used consistently across all Payoff Matrix and Game Rules Relevant source files Purpose and Scope This page documents the standard Prisoner's Dilemma payoff structure that is used consistently across all Payoff matrices are a fundamental tool in game theory, providing a visual representation of the potential outcomes of a strategic interaction between players. The matrix is used to represent the possible payoffs that Key Highlights A payoff matrix is a powerful decision-making tool that visually represents the potential outcomes of strategic choices made by multiple parties. Export polished reports and visualize Game Theory Payoff Matrix Solver Find Nash equilibria, dominant strategies, minimax values, and mixed strategy equilibria for 2×2 and 2×3 payoff matrices in normal-form games. We can find 'dominated' strategies. It originated from game theory Example A horde of zombies is attacking the village where Anna and Ben live. A Nash equilibrium occurs when each player's strategy is 1. The payoff matrix offers a complete description of the game because it lists the three elements: players, strategies, and payoffs. We consider that the round of the game is infinitely repeated (infinitely repeated and asymmetric 2×2 game). Its structure plays a vital role in understanding the dynamics of the Then we introduce the measurement met hods of trust, including the trust game paradigm and its variants, in which the bi- nary trust game paradig m and the Based on strategy / payoff matrix I would like to add arrows to indicate equilibria; in such a way that this becomes like this Any suggestion would be Game theory - Strategies, Equilibrium, Payoffs: The simplest game of any real theoretical interest is a two-person constant-sum game of perfect "Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. However, as we will see, matrix games can model strategic phenomena of arbitrarily high complexity. One of the most powerful tools in game theory is the Payoff Matrix, a A payoff matrix is defined as a table that displays the potential outcomes of a game based on the choices made by players, illustrating the payoffs for each combination of strategies. Complete, detailed, step-by-step description of solutions. You’ll learn how two players make strategic decisions, why outcomes depend on both players, and how MatrixGamePayoff is also known as expected payoff or expected utility. 3. Discover game theory payoff matrix and explore the uses See relevant content for elsevier. Instead, in this work, we focus on the nature of decision making in game In the realm of strategic decision-making, the application of game theory to the analysis of payoff matrices can be a transformative approach for startups. Learn key strategies and technical skills to ace your game theory assignments with The game as presented is a " zero-sum game ", with " losses " plus " gains " equal to zero. Explore Nash equilibria, dominant strategies, and Pareto outcomes in matrix or tree form. By organizing complex choices into a A payoff is the amount a player receives for given outcome of the game. 2 2 3 0 0 2 2 0 0 3 Enter game in text box and submit. blog This is an expired domain at Porkbun. Given a word problem, how to formulate a Payoff Matrix is addressed here in this video. You can input a payoff matrix and find the optimal strategies for both players. The payoff matrix corresponding to all possible strategies of the game is A Payoff Matrix is a strategic tool used in decision-making and game theory to analyze the possible outcomes of different choices and strategies. Please first indicate We can often simplify a payoff matrix for a zero sum game by eliminating strategies that a rational player will never use. It is typically Master Nash Equilibrium and Payoff Matrices with this guide. Matrix Algebra Application: Game Theory Learning goals Learn how a game theoretic model can be set up using matrix arrays and matrix algebra A very light introduction into ideas of computational game Explore the concept of payoff matrix in this informative video lesson. Test mixed probabilities, then download clean reports Game theory payoff matrix calculator is a powerful analytical tool that models strategic interactions between rational decision-makers (players) in competitive or cooperative situations, displaying all Find Nash equilibria and dominant strategies in a 2-player, 2-strategy game. Professional-grade tool for strategists, economists, and decision scientists. Any duplicate strategies can also be eliminated. Since the payoffs to each player are different, we will use ordered pairs Define 2-player games with payoff matrices. The game is said to have a saddlepoint solution, for reasons that will Payoff matrices are structured representations used in game theory to display the outcomes of different strategies chosen by players in a strategic interaction. (Math. Anna can help or leave the village. Free Game Theory Payoff Matrix Excel template. MatrixGamePayoff is typically used to evaluate expected payoffs for players given strategies for each of the players. 1 (84kb). Download clean reports for study, teaching, or Game Theory Payoff Calculator Build payoff tables, name strategies, and analyze outcomes. " It is so thrilling that you and your opponent have decided to make a betting game out of, in which the loser must pay Analyse strategic decision-making with our Game Theory Calculator. This tool Finite mathematics utility: game theory tool Here is a little on-line Javascript utility for game theory (up to five strategies for the row and column player). Find all Nash equilibria. Join us as we dive into the world of game theory and discover the significance of the payoff matrix in strategic decision-making. Payoff matrices are essential to understanding Game Theory and its outcomes. The advent of this problem solving In game theories such as Nash Equilibrium, exactly how are each of the players' payoff values for each of their potential strategies created? In the common 2x2 matrices I've seen in The Payoff Matrix is a fundamental tool used in game theory to visualize and analyze the potential outcomes of a strategic interaction between two or more players. The concept of pay off in game theory, embodied by the payoff matrix, is a game-changer for strategic decision-making. The analysis of the matrix in order to Analyse strategic decision-making with our Game Theory Calculator. Within the broader scope of game theory, the Explore the concepts of Nash Equilibrium, Pareto Optimality, and more with our interactive Game Theory Calculator. John Maynard Smith was awarded the Crafoord Prize for his application of . Payoff matrices are commonly used in normal form games, which help analyze strategic interactions without requiring extensive information about players' preferences. Learn what a payoff matrix is and its role in game theory. The strategy Analyze 2x2 game theory payoff matrices. 2. These matrix games are examples of what are called zero-sum games in game theory: if you add the winnings (with loses counting as “negative winnings”) of all the players the net result is zero! Indeed, The payoff matrix is one such strong tool, a notion borrowed from game theory that has found applications in a variety of sectors such as economics, Payoff Matrix Fundamentals The Payoff Matrix is a fundamental concept in game theory, used to analyze and predict the outcome of strategic interactions between multiple decision-makers. #economics #gametheory #payoff matrix #bba #mbs #mba #tu #tribhuvanunive Instructions: This calculator allows you to use the Maximin criterion (also known as pessimistic criterion) to make a decision under uncertainty. Player A I II Player B 1 7 -4 2 8 10 The value of the game is To calculate payoffs in mixed strategy Nash equilibria, do the following: Solve for the mixed strategy Nash equilibrium. ) skip this step and jump straight to figuring out the payoff matrix. Find dominant strategies, pure and mixed Nash equilibria, minimax values, and Pareto optimal outcomes. b. It will be considered as a matrix of a matrix game where Player I chooses a row and Configure payoff matrices, analyze mixed strategies, calculate expected values, and identify Nash equilibria. Use our free Game Theory Calculator to analyze 2x2 payoff matrices, identify dominant strategies, and find Nash Equilibrium. It reports row minimums, column maximums, maximin value, minimax value, saddle points, and simple dominance. The matrix Understand what is meant by the payoff matrix and learn about it with respect to economics. At the Analyze strategic decisions and payoff matrices with our free Prisoners' Dilemma calculator. In addition they could help underline the concepts that are available What are the equilibrium strategies of this game? Explain Question 2 This table shows the payoff matrix for a simultaneous one-shot game in which the goal keeper and a striker plays a The payoff matrix of a zero-sum game shows the payoffs to the row player. Then tell your own story about the game matrix to your friends. Game theory can be confusing, so this video breaks it down step by step using a payoff matrix. This calculator reads your matrix and checks each strategy. 16 Oligopoly: Collusion and Cartel A payoff matrix is a strategic decision-making tool used to evaluate and compare the outcomes of different choices under various conditions. In a matrix payoff game, all actions are chosen simultaneously. Consider the game with this payoff matrix:a. Find Nash equilibria and dominant strategies in a 2-player, 2-strategy game. Find Nash equilibria, dominant strategies, and Pareto efficiency with live formulas. This methodology allows Popularity: ⭐⭐⭐ Game Theory: Expected Utility Calculation This calculator provides the calculation of expected utility in a 2x2 game theory matrix. Analyze strategic interactions and best responses with free R code. Export results, inspect graphs, and verify equilibrium decisions easily. The winner gets The payoff matrix, a fundamental concept in game theory, has numerous real-world applications that extend beyond the realm of academic discussions. Note that all positive payments go to the row player and all negative Analyze strategic interactions with our free online Game Theory Calculator. Game theory. The video covers basic game theory techniques how to read The general form of the payoff matrix for a matrix game is now shown below. It is A payoff matrix is a fundamental tool in game theory, a field within economics and mathematics that studies strategic interaction among rational decision-makers. Real World Applications Game theory and pay-off matrices have extensive A payoff matrix is a crucial tool in game theory, visualizing the potential outcomes and payoffs for different strategies in a game. This is an Excel spreadsheet that solves for pure strategy and mixed strategy Nash equilibrium Home > Operation Research > Game Theory >> Saddle Point calculator Algorithm and examples Method Game Theory problem using saddle point calculator Type your data (either with heading or Redirecting Redirecting What is a Payoff Matrix? A payoff matrix is a fundamental tool used in game theory and decision analysis to represent the potential outcomes of different strategies employed by players in a strategic In game theory, the payoff matrix is a tool for analyzing the potential outcomes of a strategic interaction between two or more players. Since the payoffs to each player are different, we will use ordered pairs where the first number is Player 1's payoff and the second number is Player 2's Explore the payoff matrix, the essential structure used in Game Theory to visualize strategic choices, analyze potential payoffs, and determine optimal strategies. Add categories Economic Principles - Game theory interactive. But A payoff matrix is a mental model within decision theory and game theory. Each tool is designed to break down the 2Xn Games calculator - Solve Game Theory Problem using 2Xn Games, step-by-step online Solve game theory payoff matrices to find Nash equilibria and dominant strategies. The right side payoff matrix is going to identify Nash equilibrium and Pareto Although game theory is focused around board games, cards, and other competitive games, it can also be applied to military strategy in war. This interactive game theory activity steps students through the processes of constructing a 2x2 payoff matrix from Structured Approach Game theory is a toolkit for strategic analysis Specify a game: payoffs represent total utility Use all available information to describe the game But once we are in the game, we are in In game theory, there are two social interpretations of rewards (payoffs) for decision-making strategies: (1) the interpretation based on the utility Been working on some economics lately, and was able to figure out how to put together some 2x2 payoff matrix's but not sure how to go about doing Payo Matrix and Expected Payo . In other words The Game Theory Solver: Solve Any 2×2 Matrix Game Automatically As ever, you can view more videos on math and game theory on my YouTube Published Apr 29, 2024Definition of Pay-Off Matrix A pay-off matrix is a table that shows the potential outcomes of different strategies in a competitive situation. This game is " unfair " to Red, as the mean payoff per game to Blue is In game theory, the payoff matrix is more than just a simple table; it’s a strategic tool. They would rather be together: help together Payoff matrices are structured representations used in game theory to display the outcomes of different strategies chosen by players in a strategic interaction. Matrix game solution by linear programming method. If you want to master game theory, you need to master payoff matrices. Consider the thrilling game of \Rock, Paper, Scissors. I’ve found that to be a In game theory, there are two social interpretations of rewards (payoffs) for decision-making strategies: (1) the interpretation based on the utility This is a basic idea about a payoff matrix in a game theory often used in economics. It is always a good exercise to calculate payoffs in mixed strategy Nash equilibria and compare them to the payoffs for pure strategy Nash equilibria, or even non-equilibrium outcomes. The strategy By simplifying calculations related to complex scenarios, these calculators help you grasp concepts like the Prisoner's Dilemma and the Chicken Game with ease. Analyze the classic game theory scenario, calculate Nash equilibria, and understand strategic decision-making in cooperative situations. It is widely used in game theory, Game Theory problem using Bimatrix method calculator Type your data (either with heading or without heading), Now we can fill in the matrix with each player's payoff. The payoff to the column player is always the negative of the payoff to the row player. Download now. Equivalent Games: Note that the labels of the Payo Matrices A payo matrix is a way to express the result of players' choices in a game. Explore the concepts of Nash Equilibrium, Pareto Optimality, and more with our interactive Game Theory Calculator. Each cell of the matrix corresponds to an MatrixGamePayoff is also known as expected payoff or expected utility. When investigating the influence of the structure of the payoff matrix on the cooperative behavior of subjects in the prisoner’s dilemma game paradigm, the researchers proposed two parameters Solve Strategic Decisions with the Game Theory Matrix Solver Analyze competitive strategies and find Nash Equilibria using our Free Game Theory Payoff Matrix graphical method calculator - Solve Game Theory Problem using graphical method, step-by-step online Analyze 2x2 payoff matrices accurately. 1. Review saddle points, dominance, and mixed probabilities. In a pay-off matrix, a Nash Equilibrium is found where the strategies intersect at the most optimal point for both players. Although the general way to solve such games is the simplex method, and that actually is not too ugly to do for a 3x3 game matrix, my mantra when given a 3x3 game is: Form, for the rows, two extra twos What is a Payoff Matrix? A Payoff Matrix is a decision-making tool used in game theory, economics, and decision analysis. List both players' best responses to each opponent strategy. What is a Pay off Matrix? Ans : In a two person zero or constant sum game, the resulting gain can be represented in the form of a matrix which is called Pay-off Matrix or Gain matrix. Identifies Prisoner's Dilemma and Pareto-efficient outcomes. In other words, both players have a best conservative choice of strategy, and both choices produce the same payoff. Analyze 2x2 game theory payoff matrices. For each definition of payoff matrix, how is it defined? Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago Using payoff matrices to analyze game actions Finding dominant strategies in strategy games can be a time consuming task. This solver is for entertainment purposes, always double check the answer. The concept has been extended and Nash Equilibrium Calculator – Analyze 2x2 Game Theory Strategies How to Use the Nash Equilibrium Calculator To use the calculator, simply input the payoff matrices for both players. Designed to find Nash Equilibria (both pure and mixed strategies) for 2x2, 3x3, and larger payoff matrices, this tool helps matrix method calculator - Solve Game Theory Problem using matrix method, step-by-step online Zero-sum game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result is an advantage for one side and an equivalent loss If you want to solve a matrix game, you've surfed to the right web page. In evolutionary game theory, I'm trying to understand something, Let's say I have a zero-sum payoff matrix, and I know the game value, is there a algorithm I can go through to find all optimal mixed strategies, e. In the context of the The payoff matrix provides a powerful lens for understanding how strategic decisions shape outcomes in an increasingly interconnected world. Since then, the Payoff Matrix has become a standard tool in game theory, with applications in economics, politics, social sciences, and other fields. They provide a structured way to visualize the potential outcomes based on the strategies Understanding Payoff Matrices in Games Introduction to Payoff Matrices A payoff matrix is a fundamental concept in game theory that serves as a powerful tool for - A payoff matrix is a table that shows the payoffs for each player in a game, given their possible actions and the actions of the other players. Payoff Matrix An matrix which gives the possible outcome of a two-person zero-sum game when player A has possible moves and player B moves. It is conventional to describe a matrix payoff game as Analyze 2x2 payoff matrices accurately. Solve game theory payoff matrices to find Nash equilibria and dominant strategies. In zero-sum games, where one Most people who explain game theory (college professors, etc. It’s a grid or table that The payoff matrix is a fundamental concept in game theory that allows us to analyze and understand the outcomes of strategic interactions between two or more players. The above table shows the payoff to both Learn game theory essentials: players, strategies, payoff matrices, saddle points, and maximin-minimax for decision-making. Perfect for game theory, economics, and strategic decision making. Now we can fill in the matrix with each player's payoff. Find Nash equilibria, dominant strategies, and mixed strategy solutions visually. Uses a robust, iterative approximation that can handle dominance, If you remember, the game we've looked at—the Prisoner's Dilemma—had to be explained with the use of a story. They’re the single most important tool for analyzing two-player games, and once you understand them, you’ll see These developments introduce some complexities in game theory itself such that the game becomes more realistic. The strategy Game theory After studying this section you should be able to: understand the idea of a zero-sum game and its representation using a pay-off matrix identify play Unlock the secrets of payoff dominance in game theory and elevate your strategic decision-making skills to achieve optimal outcomes in competitive scenarios. - A payoff matrix can help businesses Overview of payment matrix Payment matrix refers to the game theory used to describe A matrix of strategies and payoffs for two or more players. Try it today in your Game Theory class! In MobLab's Matrix game, instructors design the payoff matrix for a two-player game & specify how often each pair plays. Learn more now! The syntactic format of this definition is very simple. Fill up your own game matrix below. They help visualize how the payoff for each In simple two-player game, a payoff matrix is a complete description of the game, encoding the payoffs that you and your opponent receives for combinations of Creating a Payoff Matrix Using LaTeX Tabular Environment Ask Question Asked 10 years, 11 months ago Modified 2 years, 8 months ago Game theory has been widely recognized as an important tool in many fields. Find Nash equilibrium, dominant strategies, mixed strategies, & expected payoffs with our interactive Game Game Theory Payoff Matrix Solver Find Nash equilibria, dominant strategies, minimax values, and mixed strategy equilibria for 2×2 and 2×3 payoff matrices in normal-form games. Calculate Payoff matrix for Row (by row) Payoff matrix for Col (by row) Example: Battle of the sexes. Stats : John E Freund). Game theory payoff matrix solver (Python recipe) Computes the strategy oddments for two-player zero-sum games of perfect information. Explore related questions linear-programming game-theory nash-equilibrium See similar questions with these tags. Unlock the fundamentals and nuances of payoff matrices in game theory with clear explanations and practical examples. Learn its theory, understand its uses, and test your knowledge with an optional quiz. Discover the types of payoff matrices with examples to make better strategic decisions. It’s used to analyze interactions between two or more players, where the outcome for each player Free Prisoner's Dilemma calculator. Game Theory Payoff Matrix Calculator Enter a payoff matrix and inspect strategic outcomes. The document discusses payoff matrices which are used to represent outcomes in strategic games between players. This means that when a player makes a move, they act without any information Key Takeaways Strategic behavior arises where there are few enough market participants that their actions individually matter, and where the behavior of any one participant influences choices of the Asymmetric Game Solver Calculator Test two-player payoff matrices and review best responses. Analyze strategic decision-making with our Game Theory Calculator. Calculating Payoffs for a Given Contest Calculation of Strategy Fitness Game Theory and Stasis -- Evolutionary Stable Strategies Using The Payoff Matrix to Predict a Pure ESS in Two In MobLab's Matrix game, instructors design the payoff matrix for a two-player game & specify how often each pair plays. Find Solution of game theory problem using matrix method In the below online Game theory calculator enter the details for Player 1 and Player 2 and submit to know the results of the game theory. It simplifies complex scenarios, risk assessments, and strategic Unlock Smart Decisions: Master the Payoff Matrix (Examples!) A payoff matrix is a powerful tool used in game theory, decision theory, and business strategy to analyze the potential Example-1 1. Compute optimal mixed strategies, game values, and checks instantly. If this is your domain you can renew it by logging into your account. Use this Nash Equilibrium calculator to get quick and reliable A payoff matrix is a crucial tool in game theory used to represent the potential outcomes for players in a strategic setting, helping to visualize and 1. Analyze strategic interactions with our free online Game Theory Calculator. The following JavaScript is designed for two-person zero Explore strategic decision-making with payoff matrices, a key tool in game theory to assess outcomes and craft informed strategies. Click here to see more examples from our paper. each firm will be affected by its competitor’s decision. A payoff matrix shows the numeric payoffs for Game theory describes the situations involving conflict in which the payoff is affected by the actions and counter-actions of intelligent opponents. Game theory is a branch of economics that studies strategic decision-making in competitive environments. However this is not only very verbose and imprecise but also I am absolutely new to decision theory . It is also designed to play against you (using the Game Theory Solver 2x2 Matrix Games Mixed strategies are expressed in decimal approximations. g, I have the This video summarizes how we can look at a payoff matrix for a game such as the Prisoner's Dilemma. I came across this following payoff matrix in the book. Find dominant moves and pure Nash points. It is a simple yet powerful Use SlideTeam’s content-ready payoff matrix templates to calculate the aggregate outcome and to predict a strategy. Explanation Calculation Example: In The payoff matrix provides a clear, structured framework for understanding the intricacies of a game. Here you are able to enter an arbitrary matrix. The profit or utility to the different participants is the Check out these other videos for everything you need to know about Game Theory and Oligopoly: 4. 2 Game Matrices and Payoff Vectors We need a way to describe the possible choices for the players and the outcomes of those choices. They help visualize how the payoff for each linear programming method calculator - Solve Game Theory Problem using linear programming method, step-by-step online Probability in Payoffs Overview This tutorial shows how to determine the average payoff to a strategy and how to state conditional payoffs that depend on probability. However this is not only very verbose and imprecise but also If you remember, the game we've looked at—the Prisoner's Dilemma—had to be explained with the use of a story. It assumes that you have a basic Game theory, and more importantly, matrix game theory, have had a profound impact on the way mathematicians model certain scenarios and events. 1. 15 Intro to Oligopoly AP Micro 4. We 1. Edited & uploaded by AdityaMadhavan Pay-off matrix Understanding Pay-off Matrix The pay-off matrix is a table or grid used in game theory which represents the outcomes of a two-player game. Essential for economics, business, and strategic decision-making. Let's break it down further. MatrixGamePayoff is also known as expected payoff or expected utility. The rows of the matrix usually represent the strategies of one You need to calculate two things to do this: Calculate the expected utility for each choice for each player and find the probability cutoff for each choice. Try it today in your Game Theory class! In this video we walk through two examples of game theory pay-off matrices that might be applied in exam questions on oligopoly, price & non-price How to use this program Type payoffs or utilities in text boxes in the payoff matrix on the left. With that in mind, Linear Algebra is directly essential to the understanding as well. Hungarian method, dual simplex, matrix games, potential method, traveling Introduction Game theory provides a powerful framework for understanding complex interactions among rational decision-makers. Understanding how this matrix The Game Rock, Paper, Scissors is a game of imperfect information. Game Theory LP Solver Calculator Analyze competitive payoff matrices with strategic clarity. Often we try to brute force it with lots and lots of playtests. A payo matrix does not express the structure of a game, such as if players take turns taking actions or Payoff matrices are a cornerstone of game theory and strategic decision-making. 15 Intro to Oligopoly • 4. Payoff Matrix Fundamentals The Payoff Matrix is a fundamental concept in game theory, used to analyze and predict the outcome of strategic interactions between multiple decision-makers. Ben can also either help of leave the village. The payoff matrix provides a powerful lens for understanding how strategic decisions shape outcomes in an increasingly interconnected world. They provide a structured way to analyze how different players, each with their own set of strategies, can A user-friendly nash equilibrium solver for determining the best moves given reward matrices in two-player zero-sum games This Python script calculates Nash Equilibria for two-player In game theory, payoff matrices play a crucial role in analyzing strategic interactions between rational agents. Then, press "Nash Eq" button. There are 2 firms A and B and they want to decide whether to Start a new campaign. Check pure equilibria, mixed probabilities, and values. Compute mixed strategies, values, dominance, and sensitivity quickly. Free online game theory calculator. This project will demonstrate how Linear Algebra matrix The above documentation is transcluded from Template:Payoff matrix/doc. Game Theory Payoff Matrix Calculator solves game theory payoff matrices instantly. Interpreting a payoff matrix involves A little tool that could support you by solving game theory matrices, aka payoff matrices. Keywords: st0088, Game theory, Nash The current model is a simulator of 2x2 evolutionary games with symmetric payoff matrices applying a discrete time replicator equation that can lead to chaotic dynamics in the proportion of players Game Theory Calculator Click here to download v1. If P1 is successful, he wins, if both are successful then the player who chose the smallest integer wins, in all other cases it is a draw. For now, we will stick with games that have only two players. 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