J. Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, Princeton, New Jersey, 1947.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....the NSF ITR award, by the SRC award 99 TJ 688, and by the DARPA ITO Mobies award F33615 00 C 1707. The third author was also supported in part by the NSF award CCR99 88322. 1. Introduction The theory of games, traditionally related to the economic theoretic environment (see for instance [19]) has been attracting the interest of many researchers in computer science. The notion of a game naturally arises in the verification of reactive systems and program synthesis [1, 20] In the compositional approach, a reactive system is seen as a set of interacting components, each of them is ....

J. V. Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, 1944.

....is nearly unpredictable: We might assume that they behave in their best way, but then again we need to know about best plans (from opponents view in this case) Thus, the outcome of a plan is non deterministic from an agent s point of view. In [11] a theoretical model using Utility Theory (e.g. [12]) is used to describe this situation. In any case, it is impossible to compare all available plans by related calculations in a reasonable time. This forces an approach according to the principles of bounded rationality [1] in the spirit of BDI. Our approach is based on heuristic options, which ....

Neumann, J. V. and Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, 1944.

....[9, 48, 118] Beside optimization problems, pseudo Boolean functions also appear in many other models of current interest. They constitute for instance the main object of investigation in cooperative game theory, where they are viewed as characteristic functions of games with side payments [86, 132, 134, 155]. They are used in various models of theoretical physics, where they describe the Hamiltonian energy function of spin glass systems [115, 126, 167] and of neural networks [6, 107, 138] They occur in combinatorial theory, as rank functions of matroids [44, 164] or as functions associated with ....

Neumann, J. von and O. Morgenstern. Theory of games and economic behavior. Princeton, Princeton University Press, 1944.

....n , C n ) Here C n is the class or type of agents in the game. Von Neuman Morgnstern game theory dictates that if each agent is attempting to maximize his utility under iterative play, then a Nash Equilibrium solution of the game s payoff matrix is likely, though not guaranteed, to be uncovered [9]. The exceptions are that some games are cyclic and the agents can wind up never converging, while other games have multiple NE and its not clear a priori as to which of them the agents will settle on. Also, maximizing under local, iterative steps does not guarantee NE that are strict optima or ....

....or P. Thus the less time we have to complete a task the less likely the task outcome will be successful. 10 It is useful to now turn to the discussion of the decision processing style function, F , iSTRESS, W . There is a large literature on decision style functions (e.g. among many others see [4, 9 10, 14, 20 24]) and the discussion here is merely to indicate that there is a rich set of possibilities that one can explore within the framework proposed here. We begin by indicating how the various components of iSTRESS (beyond just TP) and coping level (W) might impact upon an agent s choice of decision ....

von-Neuman, M., Morganstern, O., Theory of Games and Economic Behavior, NJ: Princeton, 1947.

....a component may know that all other components were implemented using the same algorithm as itself or follow some defined specification. Much theoretical work has investigated the problem of making decisions with only general knowledge of how other components behave; at a high level, game theory [30] predicts the actions of adversaries in the absence of any communication, while decision theory [9] optimizes the utility of decisions based on uncertain information that has been quantified with a probability measure. As a specific example, in the LARD load balancing web server presented in ....

J. V. Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, Princeton, New Jersey, second edition, 1947.

....to a game that a human player engages in for the purpose of discovering insights about the portion of the world captured in that drama. This term is intended in part to convey the notion that game theory is too brittle and restrictive to cover the types of situations we have in mind: e.g. see [1 5, 64, 65]. In particular, we wish the human to learn how to change the game, discover how to redefine situations, and successfully detect and shift play to meta games that is the essence of systems thinking. We seek to do this by creating interactive dramas containing microworlds populated with emotive, ....

...., C n ) This 3 step loop is depicted at the bottom of Figure 1. Von Neuman Morgnstern game theory dictates that if each agent is attempting to maximize his utility under iterative play, then a Nash Equilibrium solution of the game s payoff matrix is likely, though not guaranteed, to be uncovered [1]. The exceptions are that some games are cyclic and the agents can wind up never converging, while other games have multiple NE and its not clear a priori as to which of them the agents will settle on. In the latter case, it is worth reminding the reader that maximizing under local, iterative ....

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von-Neuman, M., Morganstern, O., Theory of Games and Economic Behavior, NJ: Princeton, 1947.

....on such deductions. Agents are aware of the limitations of the knowledge of other agents; social games, social interaction and business are to a very large degree based on the reciprocal limitations of knowledge. Game theory explores rules for behavior under conditions of incomplete knowledge (von Neumann and Morgenstern 1944, Davis 1983, Baird et al. 1994) The knowledge possessed by a person or an organization increases over time, but it lags necessarily behind the changes on the side of reality. Decisions are made based on this not quite up todate knowledge. Fairness dictates that the actions of agents are judged ....

Neumann von, J. and Morgenstern, O., 1944, Theory of Games and Economic Behavior (Princeton, NJ: Princeton University Press).

....on such deductions. Agents are aware of the limitations of the knowledge of other agents; social games, social interaction and business are to a very large degree based on the reciprocal limitations of knowledge. Game theory explores rules for behavior under conditions of incomplete knowledge (von Neumann and Morgenstern 1944; Davis 1983; Baird, Gertner et al. 1994) The knowledge possessed by a person or an organization increases over time, but the knowledge lags necessarily behind the changes on the side of reality. Decisions are made based on this not quite up to date knowledge. Fairness dictates that the actions ....

Neumann von, J. and O. Morgenstern (1944). Theory of Games and Economic Behavior. Princeton, NJ, Princeton University Press.

....solution concept. A comparison with the theory of games among sophisticated players may be useful. This theory is in turn based on a complete theory of utility and decision making of fully rational agents. For example, the rst three section of the fundamental book of Von Neumann and Morgenstern ([29]) deal with utility theory, and then proceed, on that basis, to the development of the game theory. Should the theory of players with limited rationality follow the same way In particular should we require a theory of individual rationality for sophisticated agents that precedes the theory of ....

Von Neumann, J. and Morgenstern, O., (1944), Theory of Games and Economic Behavior, Princeton University Press.

....is more complex, requiring the agent to maximize its probability of success rather than finding a path that is necessarily guaranteed to reach a goal state. In addition, agents with bounded resources must balance the amount of time spent planning with the cost of deliberation. 98 Decision theory [von Neumann and Morgenstern, 1947, Savage, 1977] provides a formal theory of rational action which can be used to make decisions in uncertain domains. Decision theory uses information about probabilities and utilities of events to select optimal courses of action; computational limits can be taken into account by including models ....

John von Neumann and Oskar Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, 1947.

....identical. What will be the agreed contract, assuming that both parties behave rationally Before the path breaking work of Nash [24] and, much later, Rubinstein [35] the bargaining problem was considered to be indeterminate. For example, in their influential work Von Neumann and Morgenstern [46] argued that the most one can say is that the agreed contract will lie in the so called 2 bargaining set (i.e. it is no worse than disagreement and there is no agreement that both parties would prefer) But because this bargaining set consists in general of an infinite number of different ....

J. von Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, Princeton, New Jersey, 1944.

....that in conditions of imperfect information, it makes a di#erence whether a player can glean information from his or her own previous moves. I thank my MSc class on logical games for making me aware of this. But already von Neumann and Morgenstern, founding fathers of game theory, pointed out in [22] p. 52# that it s an aspect of the phenomenon known as signalling in Whist and Bridge: 6. GAME SEMANTICS UNDER PERFECT INFORMATION 549 signal Whist family Any convention of play whereby one partner properly informs the other of his holdings or desires. Morehead et al. 16] In these games ....

John von Neumann and Oskar Morgenstern, Theory of games and economic behavior,John Wiley, New York 1964.

....They may be used to explain why it is not true that cooperation is always the convergent phenomenon observed in life. 1 The Classical Iterated Prisoner s Dilemma When they were at the RAND Corp. Merill M. Flood and Melvin Dresher tried to introduce some kind of irrationality in Game Theory, [13, 11]. They introduced a simple two person, non zero sum, non cooperative and simultaneous game, 6] This game, very simple to describe, covers a large scale of real life situations and seems to catch the de nition of con icts of interests. Thus a lot of di erent kind of work has been done on it, ....

John von Neumann and Oskar Morgenstern. Theory of Games and Economics Behavior. Princeton University Press, Princeton, NJ, USA, 1944.

....is a rich literature on probabilistic decision making going back at least to Bayes s work in 1763 [11] This decision making theory has been relatively well developed, especially as applied to economics. The original formulations of utility theory and game theory by von Neumann and Morgenstern [93] were taken up by Keeney and Raiffa [42] and Luce and Raiffa [49] among others. See French [32] for a good overview. The foundational works are of relevance to the formalization of decision decision making presented here. However, the development of economic decision theory has been directed ....

....that yields A with probability p and C with probability (1 p) Note that the question need not have a direct answer; see [94] for instance, for a discussion of the elicitation of von Neumann Morgenstern utilities with little or no probability information. Von Neumann and Morgenstern [93] show that, given the assumption that utilities combine with the mathematics of expectation, the numerical utility scale is determined up to an affine transformation. The assumption of the use of mathematical expectation arises because utility theory is intended to treat questions of decision ....

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John von Neumann and Oskar Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, second edition, 1953.

....yet to be made, i.e. imprecision. Utility theory is based on economics and its central assumption is that each aspect of a decision can be assigned a function representing utility. Although utility is similar to preference as used in the method of imprecision (von Neumann and Morgenstern [61] use satisfaction and preference as similes for utility) there are three important differences: 1. Utility functions are specified only on objectives: where there are multiple courses of action, for example, the expected utility of each action is assessed on each objective variable [25] The ....

....as well as entrepreneurs, is money, or equivalently a single monetary commodity. This is supposedly to be unrestrictedly divisible and substitutable, freely transferable and identical, even in the quantitative sense, with whatever satisfaction or utility is desired by each participant. [61] (p8) While this is reasonable in the context of economic systems, it is not especially suited to design. Preferences on design attributes are not necessarily identical and substitutable commodities. Preferences on the stresses in various components of an automobile suspension system are not ....

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John von Neumann and Oskar Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, second edition, 1953.

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J. Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, Princeton, New Jersey, 1947.

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J. Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, Princeton, New Jersey, 1947.

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J. V. Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, 1944.

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J.V.Neumann and O.Morgenstern. "Theory of Games and Economic Behavior". In Princeton University Press, 1944.

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V on Neumann, J; Morgenstern, O. (1947). "Theory of games and economic behavior", Princeton University Press, Princeton.

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Neumann, John von and Oskar Morgenstern (1944), Theory of Games and Economic Behavior, New York: John Wiley and Sons.

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J. v.Neumann, O. Morgenstern. Theory of Games and Economic Behavior. Princeton Univ. Press, 1944.

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Von Neumann, J. and Morgenstern, O. (1944), Theory of Games and Economic Behavior, Princeton University Press. 30

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J. v.Neumann, O. Morgenstern. Theory of Games and Economic Behavior. Princeton Univ. Press, 1944.

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