Game Theory: The Language of Social Science?

The present paper tries in a largely non-technical way to discuss the aim, the basic notions and methods as well as the limits of game theory under the aspect of providing a general modelling method or language for social sciences.

Multicriteria Dynamic Optimization Problems and Cooperative Dynamic Games

We survey some recent research results in the field of dynamic cooperative differential games with non-transferable utilities. Problems which fit into this framework occur for instance if a person has more than one objective he likes to optimize or if several persons decide to combine efforts in trying to realize their individual goals. We assume that all persons act in a dynamic environment and that no side-payments take place. For these kind of problems the notion of Pareto efficiency plays a fundamental role. In economic terms, an allocation in which no one can be made better-off without someone else becoming worseoff is called Pareto efficient. In this paper we present as well necessary as sufficient conditions for existence of a Pareto optimum for general non-convex games. These results are elaborated for the special case that the environment can be modeled by a set of linear differential equations and the objectives can be modeled as functions containing just affine quadratic terms. Furthermore we will consider for these games the convex case. In general there exists a continuum of Pareto solutions and the question arises which of these solutions will be chosen by the participating persons. We will flash some ideas from the axiomatic theory of bargaining, which was initiated by Nash [16, 17], to predict the compromise the persons will reach.Dynamic Optimization;Pareto Efficiency;Cooperative Differential Games;LQ The- ory;Riccati Equations;Bargaining

Cooperative game theory and its application to natural, environmental, and water resource issues : 2. application to natural and environmental resources

This paper provides a review of various applications of cooperative game theory (CGT) to issues of natural and environmental resources. With an increase in the level of competition over environmental and natural resources, the incidents of disputes have been at the center of allocation agreements. The paper reviews the cases of common pool resources such as fisheries and forests, and cases of environmental pollution such as acid rain, flow, and stock pollution. In addition to providing examples of cooperative solutions to allocation problems, the conclusion from this review suggests that cooperation over scarce environmental and natural resources is possible under a variety of physical conditions and institutional arrangements. CGT applications to international fishery disputes are especially useful in that they have been making headway in policy-related agreements among states and regions of the world. Forest applications are more local in nature, but of great relevance in solving disputes among communities and various levels of governments.Environmental Economics&Policies,Fisheries&Aquaculture,Common Property Resource Development,Economic Theory&Research,Ecosystems and Natural Habitats

Advances in Negotiation Theory: Bargaining, Coalitions and Fairness

Bargaining is ubiquitous in real-life. It is a major dimension of political and business activities. It appears at the international level, when governments negotiate on matters ranging from economic issues (such as the removal of trade barriers), to global security (such as fighting against terrorism) to environmental and related issues (e.g. climate change control). What factors determine the outcome of negotiations such as those mentioned above? What strategies can help reach an agreement? How should the parties involved divide the gains from cooperation? With whom will one make alliances? This paper addresses these questions by focusing on a non-cooperative approach to negotiations, which is particularly relevant for the study of international negotiations. By reviewing noncooperative bargaining theory, non-cooperative coalition theory, and the theory of fair division, this paper will try to identify the connection among these different facets of the same problem in an attempt to facilitate the progress towards a unified framework.Negotiation theory, Bragaining, Coalitions, Fairness, Agreements

The Present and Future of Game Theory

A broad nontechnical coverage of many of the developments in game theory since the 1950s is given together with some comments on important open problems and where some of the developments may take place. The nearly 90 references given serve only as a minimal guide to the many thousands of books and articles that have been written. The purpose here is to present a broad brush picture of the many areas of study and application that have come into being. The use of deep techniques flourishes best when it stays in touch with application. There is a vital symbiotic relationship between good theory and practice. The breakneck speed of development of game theory calls for an appreciation of both the many realities of conflict, coordination and cooperation and the abstract investigation of all of them.Game theory, Application and theory, Social sciences, Law, Experimental gaming, conflict, Coordination and cooperation

Game Theory and Economic Behavior

Until the beginning of 1950s, the economic theory in general, and the microeconomic theory in particular, relied totally on the deterministic character of economic phenomena. Nowadays microeconomic models are built on uncertain elements in a competitive environment that is affected by risk and uncertainty. Two centuries later, traditional microeconomics, also known as derived microeconomics, continues to be based on Adam Smith’s theory. As individuals are interested in participating in commercial transactions, but for these to take place effectively, two essential principles should be observed: the principle of rationality and the principle of pure and perfect competition. The link between Brower’ fixed point theorems on the one hand and John von Neumann’s minimax theorem on the other hand enabled other authors such as McKenzie Arrow and Debreu Uzawa to state and demonstrate simpler but more general theorems than that of Abraham Wald. It was thus supposed that consumer preferences in a pool of possible consumptions are reflexive, transitive and all are comparable. Using game theory as a reference framework to represent the behavior of economic agents, microeconomics strongly renews its scope of investigation. The problem that arises is no longer linked to the study of perfectly competitive markets, but mostly to how agents coordinate their decisions in different strategic configuration circumstances. The use of such concepts as risk, antiselection or coordination limits has opened new scopes to economy in general and to microeconomics in particular.Game Theory, behavior of economic, traditional microeconomics, new microeconomics