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Cooperative vs. Non-Cooperative Truels: Little Agreement, But Does That Matter?

Bossert, W.; Brams, S. J.; Kilgour, D. M. - C.V. Starr Center for Applied Economics, Department of … - 2000

It is well-known that non-cooperative and cooperative game theory may yield different solutions to games. These …

Persistent link: https://www.econbiz.de/10005248343

Vidal-Puga, Juan - EconWPA - 2004

In cooperative games in which the players are partitioned into groups, we study the incentives of the members of a group to leave it and become singletons. In this context, we model a non-cooperative mechanism in which each player has to decide whether to stay in his group or to exit and act as...

Persistent link: https://www.econbiz.de/10005118646

Understanding Fixed Point Theorems

Arnold, Lutz G. - Wirtschaftswissenschaftliche Fakultät, Universität … - 2003

Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of drawing and shifting curves in the plane and is,...

Persistent link: https://www.econbiz.de/10005607526

On the relationship between the open-loop Nash equilibrium in LQ-games and the inertia of a matrix

Engwerda, Jacob; Weeren, A.J.T.M. - Tilburg University, School of Economics and Management - 1994

In this paper we consider the location of the eigenvalues of the composite matrix ( -A S1 S2 ) ( Q1 At 0 ) ( Q2 0 At ) , where the matrices Si and Qi are assumed to be semi-positive definite. Two interesting observations, which are not or only partially mentioned in literature before, challenge...

Persistent link: https://www.econbiz.de/10011087121

The location model with two periods of price competition

Webers, H.M. - Tilburg University, School of Economics and Management - 1994

In this paper we characterize the subgame perfect Nash equilibria of a location-then-price game where firms first choose locations and after that compete for prices in two subsequent periods. Locations are thus seen as long term commitments. There are two types of consumers, each with different...

Persistent link: https://www.econbiz.de/10011087127

Accessibility measures to nodes of directed graphs using solutions for generalized cooperative games

Amer, Rafael; Giménez, José; Magaña, Antonio - In: Mathematical Methods of Operations Research 75 (2012) 1, pp. 105-134

Game Theory. Since digraphs without a predefined game are considered, the main part of the paper is devoted to establish …

Persistent link: https://www.econbiz.de/10010999904

An evolutionary game theory model of binary opinion formation

Ding, Fei; Liu, Yun; Shen, Bo; Si, Xia-Meng - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 8, pp. 1745-1752

, which could be hopefully described by cooperative games in the evolutionary game theory framework. This paper presents game … theory methods to model the formation of binary opinions: cooperative games are proposed to model the interaction rules of … game theory models show evolutionary results similar to traditional opinion models. Specially, the evolution of opinions …

Persistent link: https://www.econbiz.de/10010872421

COOPERATIVE GAMES: CORE AND SHAPLEY VALUE

Serrano, Roberto - Centro de Estudios Monetarios y Financieros (CEMFI) - 2007

This article describes the basic elements of the cooperative approach to game theory, one of the two counterparts of … of the most central solution concepts in cooperative game theory. …

Persistent link: https://www.econbiz.de/10005611899

Game Theory:A Nontechnical Introduction to the Analysis of Strategy

McCain, Roger A - World Scientific Publishing Co. Pte. Ltd.

The objective of the third edition of <i>Game Theory: A Nontechnical Introduction to the Analysis of Strategy</i> is to … introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus …</li> <li>Three-Person Games</li> <li>Probability and Game Theory</li> <li>Mixed Strategy Nash Equilibria</li> <li …

Persistent link: https://www.econbiz.de/10011156401

On the core of cost-revenue games: Minimum cost spanning tree games with revenues

Estévez-Fernández, Arantza; Reijnierse, Hans - In: European Journal of Operational Research 237 (2014) 2, pp. 606-616

In this paper, we analyze cost sharing problems arising from a general service by explicitly taking into account the generated revenues. To this cost-revenue sharing problem, we associate a cooperative game with transferable utility, called cost-revenue game. By considering cooperation among the...

Persistent link: https://www.econbiz.de/10011097704

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