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Jean Blaise Mimbang

Game Theory

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  • herawan19цитирует8 лет назад
    Game theorists use the word ‘game’ to refer to any complete model made up of a list of individuals (players), a sequence of strategies and payoffs. The term ‘game’ does not refer to a symbolic activity done for fun, but a series of assorted constraints relating to an issue
  • herawan19цитирует8 лет назад
    player 2 chooses strategy V with a probability of ½ (0.5). The expected payoffs for the two players are 6 for player 1 and 2.5 for player 2. The Nash theorem can be seen here, since any strategic form game has Nash equilibrium in mixed strategies
  • herawan19цитирует8 лет назад
    Nash equilibrium in mixed strategies: Each player chooses the strategy that allows them to maximize their payoffs. In the Nash equilibrium from our example, player 1 chooses Y with a probability of ½ (0.5) and
  • herawan19цитирует8 лет назад
    To illustrate this, let’s look at the game in the previous example and assume that this time, player 1 randomly plays X and Y with a probability of ½ (0.5) and assume that player 2 does the same
  • herawan19цитирует8 лет назад
    a mixed strategy is the probability distribution based on a set of pure strategies. Players randomly choose to play their strategies with a certain probability
  • herawan19цитирует8 лет назад
    The strategies defined and used up to now are pure strategies (with options available to the players
  • herawan19цитирует8 лет назад
    iterative elimination of weakly dominated strategies.
    In some cases, the game cannot be solved
  • herawan19цитирует8 лет назад
    Nash equilibrium obtained by the successive elimination of strictly dominated strategies is more trustworthy than equilibrium obtained by the
  • herawan19цитирует8 лет назад
    elimination of dominated strategies, there is only one strategy left (unique profile) for each player. Nash equilibrium consists of strategies obtained this way
  • herawan19цитирует8 лет назад
    A game can be solved by iterative elimination of the dominated strategies where, at the end of the process of
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