basic elements of a game
the players
their available strategies, actions, or decisions
the payoff to each player for each possible action
dominant strategy
yields a higher payoff no matter what the other player does
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basic elements of a game
the players
their available strategies, actions, or decisions
the payoff to each player for each possible action
dominant strategy
yields a higher payoff no matter what the other player does
dominated strategy
any other strategy available to a player who has a dominant strategy
payoff matrix
table that describes the payoffs in a game for each possible combination of strategies
nash equilibrium
any combination of strategies in which each player’s strategy is their best choice, given the other player’s strategies
equilibrium
occurs when each player follows their dominant strategy, if it exists
does not require a dominant strategy
prisoner’s dilemma
a game in which each player has a dominant strategy, and when each plays it, the resulting payoffs are smaller than if each had played a dominated strategy
cartel
a coalition of firms that agree to restrict output to increase economic profit
restrict total output, so prices and revenue and profits can go up
profits increase
if one firm lowers price, capture the entire market →
unstable; cheat
cartel agreements are ______ , incentive to ______
repeated prisoner’s dilemma
the same players repeatedly face the same prisoner’s dilemma
tit-for-tat strategy
my move in this round is whatever your move was in the last round
rarely observed in the market because it breaks down with more than two players
decision tree
when timing matters, this is a more useful way of representing payoffs
describes the possible moves in a game in sequence
sometimes called a game tree
credible threat
threat to take an action that is in the threatener’s best interest to carry out
credible promise
promise to take an action that is in the promiser’s best interest to carry out
commitment problem
arises from an inability to make credible threats or promises
commitment device
changes incentives to make threats or promises credible