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This important book, written by some of the leading scholars in the field, provides a comprehensive overview of recent advances in coalition theory and presents both the latest theoretical developments and novel applications in the field of economics.
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Consider a financial market with N risk-averse asymmetrically informed traders. When N grows at the same rate as noise trading, prices in competitive and in strategic rational expectations equilibrium converge to each other at a rate of 1/N. Equilibria in the two scenarios are close when noise...
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We introduce the concept of a parameterized collection of games with limited side payments, ruling out large transfers of utility. With convexity of the payoff set of the grand coalition, we show that (1) a game with limited side payments has a nonempty epsilon-core and (2) when some degree of...
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A “law of scarcity” is that scarceness is rewarded. We demonstrate laws of scarcity for cores and approximate cores of games. Furthermore, we show that equal treatment core payoff vectors satisfy a condition of cyclic monotonicity. Our results are developed for parameterized collections of...
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