We discuss the unity between the two standard approaches to noncooperative solution concepts for games. The decision-theoretic approach starts from the assumption that the rationality of the players is common knowledge. This leads to the notion of correlated rationalizability. It is shown that...

AbstractWe study the problem of reaching a pure Nash equilibrium in multi-person games that are repeatedly played under the assumption of uncoupledness: every player knows only his own payoff function. We consider strategies that can be implemented by finite-state automata, and characterize the...

AbstractThe following sections are included:Superadditive Games in Coalition Function FormThe CoreShapley ValueThe NucleolusA Comparative PerspectiveChapter Summary

Correlations arise naturally in noncooperative games, e.g., in the equivalence between undominated and optimal strategies in games with more than two players. But the noncooperative assumption is that players do not coordinate their strategy choices, so where do these correlations come from? The...

A paradox of self-reference in beliefs in games is identified, which yields a game-theoretic impossibility theorem akin to Russell's Paradox. An informal version of the paradox is that the following configuration of beliefs is impossible:Ann believes that Bob assumes thatAnn believes that Bob's...

Consider a contest for a prize in which each player knows his own ability, but may or may not know those of his rivals (the complete or incomplete information regimes). Our main result is that, if the value of the prize is high, more e¤ort and output are engendered under incomplete information;...

In this brief note describes the trajectory of the fractal models/multifractal F/M by Benoit Mandelbrot. The promise was discovered by the geometry of Mandelbrot covers a broad area of research fields, from meteorology and mathematical physics to the individual and collective behavior in...

In this paper we formalize a new form of two-player game, that we call decision- form. A two-player decision-form game consists in a pair of decision rules, representing the rationality of each player. We develop the basic facts of this type of games, showing that this form of game generalizes...

We provide existence results in a game with local spillovers where the payoff function satisfies both convexity and the strategic substitutes property. We show that there always exists a stable pairwise network in this game, and provide a condition which ensures the existence of pairwise...

The purpose of this study is to elucidate under which circumstances, how, and to what extent market power on the TGC market can be used to affect the entire electricity market. There are basically two reasons for being concerned with market power in TGC markets. One is that a small number of...