Game Theory Flashcards
assumption about players
assumed to be rational actors: ordered/complete/transitive preferences. Players maximize according to their preferences.
unitary actor assumption
states with a single set of preferences
utilities
units of value realized by players at outcomes (situations the players’ decisions lead to)
strategies:
series of choices players follow in games (more complicated = more strats.)
Nash Equilibria Solution concepts
best response
normal form/ extensive form games:
matrix v. tree representation style (should allow us to anticipate what players will do)
game of chicken
i.e. reduce nuclear armaments or dire scenario pollution
cooperation game
climate change, need some sort of commitment mechanism
extensive form games
permits more complicated actions, represents sequences and info constraints (i.e. 2 players deciding to demand/not then force/not then resist/not) can include crisis/conflict subgame)
war started by your side
is better than war started by their side
apology game
both issuing apologies, worst outcome is neither issuing apologies
hero game
leader unselfishly takes cost/ supplies reward to other player (i.e. friendly fire)
prisoner’s dilemma
neither= bad individual benefits, long term losses (tit for tat) they would need to communicate with one another to cooperate. i.e. arms races, security dilemmas,
no nash equilibrium
a player with no payoff
assurance game
need institutional or other arrangements or else (there are these collective action failures)
Olson Logic
size proportions, (large= difficult to form), group composition problem (large members pay more, hetero = success more likely), institutional recommendations, smaller= less anonymity (easier to observe freeriding) and coordi. is easier to achieve
exploitation hypothesis
if they’re all the same they can’t benefit one another as much
private inducements/ selective incentives
complementary may reduce free-rider tendency, joint products, institutional structures. Cost sharing induces collective action
robert axelrod
situations are iterated/repeated= higher success for cooperation (tit for tat)
tit for tat
wins because can be provoked, not complicated, (never varies)nice, (never 1st to defect) forgives
private goods
food consumed, energy burned (yes)
inexhaustible
language, software (no)
common goods
fisheries, pastures, atmosphere (yes)