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Cardinal payoffs are numbers representing the outcomes of a game where the numbers represent some continuum of values, such as money, market share or quantity. Cardinal payoffs permit the theorist to vary the intensity or degree of payoffs, unlike ordinal payoffs, in which only the order of values is pivotal. For mixed, payoffs, strategy calculations must be cardinal.
Two individuals (i ∈ {1, 2}) work independently on a joint project. They each independently decide how much eort ei they put. Eort choice has to be any real number between 0 and
The following is a payoff matrix for a non-cooperative simultaneous move game between 2 players. The payoffs are in the order (Player 1; Player 2): What is/are the Nash Equil
Rollback equilibrium (b) In the rollback equilibrium, A and B vote For while C and D vote Against; this leads to payoffs of (3, 4, 3, 4). The complete equil
Rules of Snake Eyes (small variation on game called Craps in USA) Player rolls two dice. On the first roll if the total of the dice is 2 (snake eyes): player wins and rece
The Cournot adjustment model, initial proposed by Augustin Cournot within the context of a duopoly, has players choose methods sequentially. In every amount, a firm selects the act
1. (a) True or False: If a 2x2 game has a unique pure strategy Nash Equilibrium, then both players always have dominant strategies. (b) Draw a table representing the Prisoner.s Dil
A general term for an English auction in which there is no reserve price, guaranteeing that the object will be sold to the highest bidder regardless of the quantity of the bid.
Consider the electoral competition game presented in Lecture 6. In this game there are two candidates who simultaneously choose policies from the real line. There is a distribution
A strategy is dominated if, no matter what the other players do, the strategy earns a player a smaller payoff than another strategy. Hence, a method is dominated if it's invariably
1. Two firms, producing an identical good, engage in price competition. The cost functions are c 1 (y 1 ) = 1:17y 1 and c 2 (y 2 ) = 1:19y 2 , correspondingly. The demand functi
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