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The game is a type of bidding fee auction which is a discrete version of the war of attrition. Like these games, the dollar auction has a symmetric mixed strategy equilibrium (there are also asymmetric pure equilibria). Suppose we start with two players; player 1 moves in odd periods, while player 2 moves in even periods.
A prototypical paper on game theory in economics begins by presenting a game that is an abstraction of a particular economic situation. One or more solution concepts are chosen, and the author demonstrates which strategy sets in the presented game are equilibria of the appropriate type.
Major topics include measurement of economic performance, national income and price determination, fiscal and monetary policy, and international economics and growth. AP Macroeconomics is frequently taught in conjunction with (and, in some cases, in the same year as) AP Microeconomics as part of a comprehensive AP Economics curriculum, although ...
In mathematics, a supermodular function is a function on a lattice that, informally, has the property of being characterized by "increasing differences." Seen from the point of set functions, this can also be viewed as a relationship of "increasing returns", where adding more elements to a subset increases its valuation.
Theory of Games and Economic Behavior, published in 1944 [1] by Princeton University Press, is a book by mathematician John von Neumann and economist Oskar Morgenstern which is considered the groundbreaking text that created the interdisciplinary research field of game theory.
Transferable utility is a concept in cooperative game theory and in economics. Utility is transferable if one player can losslessly transfer part of its utility to another player. Such transfers are possible if the players have a common currency that is valued equally by all.
Game theory has a great advantage in explicitly analyzing the consequences of trading rules that presumably are really common knowledge; it is deficient to the extent it assumes other features to be common knowledge, such as one agent's probability assessment about another’s preferences or information.
The Shapley value is a solution concept in cooperative game theory. It was named in honor of Lloyd Shapley, who introduced it in 1951 and won the Nobel Memorial Prize in Economic Sciences for it in 2012. [1] [2] To each cooperative game it assigns a unique distribution (among the players) of a total surplus generated by the coalition of all ...