منابع مشابه
Functional Dependence in Strategic Games
The paper studies properties of functional dependencies between strategies of players in Nash equilibria of multi-player strategic games. The main focus is on the properties of functional dependencies in the context of a fixed dependency graph for pay-off functions. A logical system describing properties of functional dependence for any given graph is proposed and is proven to be complete.
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The problems of how self-interested players can cooperate despite incentives to defect, and how players can coordinate despite the presence of multiple equilibria, are among the oldest and most fundamental in game theory. In this report, we demonstrate that a plausible and even natural specification of the reference outcome in a game simultaneously predicts systematic cooperation and defection ...
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Table 1: Coordination Game Note that in the case of the coordination game, we also have bBa. However, for the game described by Table 2 statement aBb is true, but bBa is false. The main focus of this paper is functional dependence in multiplayer games. For example, consider a “parity” game with three players a, b, c. Each of the players picks 0 or 1, and all players are rewarded if the sum of a...
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We introduce an alternative concept to determine the solvability of two-player games with perfect information. This concept — based on games currently solved — claims that the applicable solving procedures have a significant influence on the solvability of games. This contrasts with current views that suggest that solvability is related to state-space and game-tree complexity. Twenty articles o...
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We study Toral’s Parrondo games with N players and one-dimensional spatial dependence as modified by Xie et al. Specifically, we use computer graphics to sketch the Parrondo and anti-Parrondo regions for 3 ≤ N ≤ 9. Our work was motivated by a recent paper of Li et al., who applied a state space reduction method to this model, reducing the number of states from 2 to N + 1. We show that their red...
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ژورنال
عنوان ژورنال: Autonomous Agents and Multi-Agent Systems
سال: 2011
ISSN: 1387-2532,1573-7454
DOI: 10.1007/s10458-011-9176-3