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Published byNickolas Summers Modified over 8 years ago
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MARJORIE CHASOWA (092SIS08)
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Simultaneous actions done through ignoring the other’s choice No time to make/change decisions in response to the discovery of the others’ Be in both shoes (contender & self) and take the best move for both sides e.g. Herald & Daily News (eye-catching stories competition behind closed doors)
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Player has an single way that makes one above the contender no matter their response No need to worry about the contender’s moves E.g Indiana Jones & the Last Crusade
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E.g Herald & Daily News (Sanctions & AIDS cases) Herald needs to take the sanctions story because it is the dominant strategy 3065 2515 S S A A S S A A Herald’s choices Daily News’ choices
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Dominant strategy is one that makes you better off than you would be if you used any other strategy, no matter what strategy your opponent uses If you have a dominant strategy, use it
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Eliminate any dominated strategies from consideration & proceed successively E.g. American football game Offense is strong at passing & weak at running 2410 589 Counter run counter pass blitz Defense’s strategy run pass Offense’s strategy
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Neither side has dominant strategy as shown by no row with numbers uniformly smaller/larger than those in the other row Defense had a dominated strategy i.e. blitz
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Team defensive maneuver in which one/more defensive backs are instead sent across the line to the offensive side to try to tackle the quarterback/ disrupt pass attempt
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Advantages Proactively disrupt the offenses play before it develops Cause enough pressure on the quarterback to force him into a turnover Disadvantages Offensive linemen are usually trained to recognise the blitzing player before & thus can be picked & stopped prematurely
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If blitz is picked up, the one deep defender will have a bigger territory to guard Is pass is caught, the receiver can turn a minimal gain into a dangerous play Blitz can be defeated with more aggressive release moves So? Blitz should be avoided. Offense will choose to pass & defense best response i.e. pass defense
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Need for squaring the circle in order to get out of the circular reasoning e.g Herald & Daily News Herald’s response Daily News’ response Daily News’ Prices Herald’s Prices
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None wants to change their move due to need to have more profits and end up at Nash equilibrium Thus, having exhausted simple avenues of looking for dominant strategies/ avoiding dominated ones, looking for an equilibrium becomes important
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1. Circular reasoning gets to nowhere and needs to be avoided Equilibrium is stable, makes the players have consistent expectations & chose best response 2. Zero-sum games, players interests are opposed strictly & deception is limited 3. Pragmatic, “pudding’s proof is in the eating”
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When an outcome is an equilibrium, it doesn’t necessarily translate into being the best for all as it depends with the circumstances
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Feast implies having much equilibria Games having many equilibria e.g. driving to the right/left E.g. Webby/Pearl calls Need for common understanding of which equilibrium to pick to reduce confusion
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Implies having no equilibrium Determinate behaviour should be avoided through mixing moves Mixing strategy pivotal in cooperation E.g. Webby/Pearl calls (50% chances)
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3 rules of action in simultaneous moves games 1. Look & use dominated strategies 2. Look for & avoid dominated strategies 3. Look for & use an equilibrium
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Equilibrium strategies Dominated strategies Dominant strategies
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1. How can notions of rationality/ irrationality be explained vs notions of being humane/ethical be explained in the Indiana Jones case?
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THANK YOU TATENDA
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