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A well-known example of the minority game is the El Farol Bar problem proposed by W. Brian Arthur. A hybrid form of coordination and anti-coordination is the discoordination game , where one player's incentive is to coordinate while the other player tries to avoid this.
The first problem involving a variational inequality was the Signorini problem, posed by Antonio Signorini in 1959 and solved by Gaetano Fichera in 1963, according to the references (Antman 1983, pp. 282–284) and (Fichera 1995): the first papers of the theory were (Fichera 1963) and (Fichera 1964a), (Fichera 1964b).
Example of a coordination failure. Models of coordination failure can have multiple equilibria. In this example a representative firm e i makes its output decisions based on the average output of other firms (e *). When the representative firm produces as much as the average firm (e i =e *), the economy is at an equilibrium. The curve ...
In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall general equilibrium.
In this case, the follower could announce to the leader before the game starts that unless the leader chooses a Cournot equilibrium quantity, the follower will choose a deviant quantity that will hit the leader's profits. After all, the quantity chosen by the leader in equilibrium is only optimal if the follower also plays in equilibrium.
Examples of game theory problems in which these conditions are not met: The first condition is not met if the game does not correctly describe the quantities a player wishes to maximize. In this case there is no particular reason for that player to adopt an equilibrium strategy.
Partial equilibrium, the equilibrium price and quantity which come from the cross of supply and demand in a competitive market; Radner equilibrium, an economic concept defined by economist Roy Radner in the context of general equilibrium; Recursive competitive equilibrium, an economic equilibrium concept associated with a dynamic program
Number of pure strategy Nash equilibria: A Nash equilibrium is a set of strategies which represents mutual best responses to the other strategies. In other words, if every player is playing their part of a Nash equilibrium, no player has an incentive to unilaterally change their strategy.