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Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.
John Harsanyi – equilibrium theory (Nobel Memorial Prize in Economic Sciences in 1994) Monika Henzinger – algorithmic game theory and information retrieval; John Hicks – general equilibrium theory (including Kaldor–Hicks efficiency) Naira Hovakimyan – differential games and adaptive control; Peter L. Hurd – evolution of aggressive ...
An oligopoly (from Ancient Greek ὀλίγος (olígos) 'few' and πωλέω (pōléō) 'to sell') is a market in which pricing control lies in the hands of a few sellers. [1] [2] As a result of their significant market power, firms in oligopolistic markets can influence prices through manipulating the supply function.
Separately, game theory has played a role in online algorithms; in particular, the k-server problem, which has in the past been referred to as games with moving costs and request-answer games. [125] Yao's principle is a game-theoretic technique for proving lower bounds on the computational complexity of randomized algorithms , especially online ...
Hence, their utility in the repeated game is represented by the sum of utilities in the basic games. When the game is infinite, a common model for the utility in the infinitely-repeated game is the limit inferior of mean utility: If the game results in a path of outcomes , where denotes the collective choices of the players at iteration t (t=0 ...
Tacit collusion is best understood in the context of a duopoly and the concept of game theory (namely, Nash equilibrium). Let's take an example of two firms A and B, who both play an advertising game over an indefinite number of periods (effectively saying 'infinitely many'). Both of the firms' payoffs are contingent upon their own action, but ...
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.
Non-cooperative game theory provides a low-level approach as it models all the procedural details of the game, whereas cooperative game theory only describes the structure, strategies and payoffs of coalitions. Therefore, cooperative game theory is referred to as coalitional, and non-cooperative game theory is procedural. [7]