Game theory needn't mix you up! In this final lesson of William Spaniel's Game Theory 101 series, learn how to solve game theory scenarios with three possible strategies. Expand the mixed strategy algorithm and apply it to games with more than two strategies. Figure out the mixed strategy Nash equilibrium for a modified version of Rock, Paper, Scissors. Solve for a player's indifference and calculate expected utilities as a function of a given mixed strategy.

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Ever wonder how so much rock ‘n roll can come from one tiny Fender guitar? Check out this lesson on the anatomy of an electric guitar. It’s very similar to that of an acoustic guitar, only with added amplification! You’ll learn the importance of pickups, knobs, switches, and extra electronics. Plug in and shred up and down the neck

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We use fonts every time we type, but do we really understand them? In this first in a series of typography lessons from Yes I'm a Designer, get an introduction to the wonderful world of fonts. You'll learn how to use InDesign to view the full range of glyphs in a font (beyond the characters you're used to seeing on your keyboard), discover how fonts are stored on your computer, and unravel the mystery of unicode.

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Whether you are catering a swanky soiree or hosting your own celebration, learn how to create a festive blueberry dessert that looks much more difficult to make than it is! Your partygoers will be delighted with this chic Blueberry Dessert in a Martini Glass. In this lesson from The Aubergine Chef, you’ll learn how to make and combine the four components of this beautiful dessert recipe (cake, mousse, gelee, and Chantilly cream), and garnish each glass masterfully.

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Game theory fans, meet comparative statics. This lesson from William Spaniel's Game Theory 101 series expands on the previous Soccer Penalty Kicks scenario to explore the world of comparative statics. Discover how a game's outputs change as a function of the game's inputs – in this case, a change in the probability of the kicker scoring a goal when he kicks in a certain direction. Learn and practice the four steps to calculating comparative statics.

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Mixed strategies, pure strategies, Nash equilibria... why can't they all get along? In this lesson from William Spaniel's Game Theory 101 series, learn the rules to determine if a pure strategy is in support of a mixed strategy Nash equilibrium. You’ll work on calculating probability and expected utility, but this time will apply your skills to a 3 by 3 rather than the usual 2 by 2 game.

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Want to learn a programming language that will do a lot of the work for you? Check out Professor Paul Krause's introduction to Ruby on Rails, a highly dynamic and fully object-oriented framework for creating websites. In this first of a series of lessons on Ruby, hear the history of Ruby on Rails and why it's useful, and find out how Ruby can cope with problems that would leave Javascript reeling.

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You and your best friend are offered free money, and so long as you both choose to accept it in a blind vote, you both get richer! What could go wrong? Learn about the Free Money game theory scenario, and why there's a possible outcome where everyone ends up poorer (but is still a Nash equilibrium). The Free Money game is an exception to the Odd Rule, which states that almost all games have an odd number of equilibria.

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In practice, not all players follow the solution suggested by mathematical modeling of game theory scenarios. Why is this the case? In this lesson from William Spaniel's Game Theory 101 series, learn about the three steps for solving a game: (1) making assumptions, (2) doing the math, and (3) reaching conclusions. Discover why bad assumptions can undermine the results of mathematical modeling—revealing why reality all too often doesn't match up with theory.

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Want to dominate game theory? Use this weak dominance trick: If your opponent is mixing among all of her pure strategies, then you should not play a weakly dominated strategy in equilibrium. Follow along with William as he illustrates this point using the "Take or Share" game—where players have the choice to divvy up $8,000 or take it all for themselves. Learn when it can be a bad idea to take your mom's advice on sharing.

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While diets may work to keep you healthy in the short term, the stress that they put on your mind and body sets you up for a big crash later. As Darya Rose, author and creator of Summer Tomato, explains, the secret is in taking small steps to build healthy habits instead of using up all of your hard-earned willpower. Start getting healthy for the long term today!

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Does baby need a cool and easy snack for a hot day? Does mama? Introduce your baby to food that you like too! Buona Pappa's Plum Summer Delight is a fast, simple, no-cook snack that requires only 3 healthful ingredients: plums, oatmeal, and yogurt. Mix oatmeal and yogurt, peel the plums, a quick whirl with a blender, and your snack is ready. For grown-ups only, drizzle with honey, toss on some nuts. (Or, stir in a little rum, but keep that to yourself.)

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Craving a down-home dish without the hassle? Ditch those russets and make some sweet potato fries. Not a huge fan of the sweet starchiness in dishes such as sweet potato pie or candied sweet potatoes? Girls Gone Sporty has a recipe for spicy sweet potato fries that is guaranteed to convert even the most adamant haters. Bake two batches in less than an hour with this tutorial.

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How do you take those black dots on the page and turn them into piano music? First you have to learn how to read music! Web Piano Teacher offers a series of lessons on sight reading music for beginners. Learn the names of notes and their positions on the keyboard. Figure out how to look at sheet music and tell the difference between a treble clef and bass clef. Get your eyes and your fingers in sync and start playing!

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Have you ever lost points on a game theory assignment or test because you came to a slightly wrong conclusion? In this installment of his series on Game Theory, William Spaniel reveals one of the most frequent mistakes game theory students make: expressing mixed strategy Nash equilibria as decimals, not fractions. William demonstrates why 1/3 is not the same as .33, supporting his claim that when solving game theory equations, its always safe to stick with fractions.

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Rock, Paper... Symmetry? In this lesson from William Spaniel’s Game Theory 101 series, learn about symmetric zero sum games: game theory scenarios in which each player's expected utility at equilibrium must equal zero. William will present a proof of the theorem, and review symmetric games and zero sum games independently. Knowledge of game theory has applications for real-world politics, economics, and everyday life.

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Are you a seasoned guitarist always on the lookout for advice? Or maybe you’re a frustrated beginner? Here’s a small tip that will last a lifetime of guitar playing: curl the last knuckle of each fretting finger. This helps you to strum chords efficiently and hit every necessary note. Check out this lesson to fully comprehend the importance of the curl.

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Don’t think you’re cut out for playing guitar? Think again! Everyone gets frustrated. Even Jimi Hendrix wasn’t a rock god from day one. Check out this lesson for advice on learning how to play guitar and the encouragement to keep doing it. You’ll surely want to continue pickin’ after hearing these words of wisdom. Practice and persist!

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Slice into the precarious world of knife-edge equilibria - a kind of game theory equilibrium that exists for a single and exact payoff value. If this value varies in even the slightest way, the game matrix equilibrium is destroyed. Follow along with William Spaniel and his Game Theory 101 lesson as he explores this rare occurrence that is frequently ignored in game theory studies.

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