Efficient Markov perfect Nash equilibria: theory and application to dynamic fishery games

In this paper, we present a method for the characterization of Markov perfect Nash equilibria being Pareto efficient in non-linear differential games. For that purpose, we use a new method for computing Nash equilibria with Markov strategies by means of a system of quasilinear partial differential equations. We apply the necessary and sufficient conditions derived to characterize efficient Markov perfect Nash equilibria to dynamic fishery games.We are grateful to the editor Kenneth L. Judd and an anonymous referee for helpful comments. The research of the first author was supported by MCYT under project BEC2002-02361 and JCYL under project VA51/03, cofinanced by FEDER funds. The research of the second author was supported by MCYT under project BFM2002–00425 and JCYL under project VA099/04 cofinanced by FEDER funds.Publicad

Direct method comparing efficient and non-efficient payoffs in differential games

The original publication is available at www.springerlink.comIn this note, we present a method that allows us to decide when a Markov-perfect Nash equilibrium is not Pareto optimum, without the explicit knowledge of the respective solutions. For that purpose, we establish a sufficient condition in terms of an algebraic inequality where the gradient of the value functions of the cooperative and noncooperative games as well as the state and control variables are involved.The first author acknowledges financial support from Junta de Castilla y León Project VA 108 01 and Dirección General de Investigación Project BFM2002–00425. The second author acknowledges financial support from JCYL Project VA051 03 and MCYT Project BEC2002-0236, cofinanced by FEDER funds.Publicad

Identification of efficient subgame-perfect Nash equilibria in a class of differential games

The original publication is available at www.springerlink.comWe present a method for the characterization of subgameperfect Nash equilibria being Pareto efficient in a class of differential games. For that purpose, we propose a new approach based on new necessary and sufficient conditions for computing subgame-perfect Nash equilibria.Publicad

New method to characterize subgame-perfect Nash equilibria in differential games

The original publication is available at www.springerlink.comIn this paper, we present a method for computing Nash equilibria in feedback strategies. This method gives necessary and sufficient conditions to characterize subgame perfect equilibria by means of a system of quasilinear partial differential equations. This characterization allows one to know explicitly the solution of the game in some cases. In other cases, this approach makes a qualitative study easier. We apply this method to nonrenewable resource games.Publicad

Collaborative action research through technologically mediated agoras.

ABSTRACT: The study presented in this article forms part of a wider project promoting collaboration between junior researchers from different universities with the objective of rethinking and improving teaching practice in relation to the use of technology. The article describes research carried out during the 2012/13 academic year aimed at developing collaborative action research through technologically mediated agoras involving students from three Spanish universities. The main results of this study show that junior researchers improved their teaching practice through technologically mediated inside and outside agoras. In addition, the transformation of university classrooms into agoras enabled the negotiated reconstruction of knowledge for the analysis of good practice in the use of technology. Likewise, these agoras helped reduce limitations by breaking down the barriers of time, distance and resources for sharing findings and limitations between junior researchers. Furthermore, they pave the way for improvements and their implementation in learning processes during initial teacher training