This paper studies models where the optimal response functions under consideration are non-increasing in endogenous variables, and weakly increasing in exogenous parameters. Such models include games with strategic substitutes, and include cases where additionally, some variables may be...

This chapter presents a summary of recent results obtained in game and social choice theories, and highlights the application and the development of tools in algebraic topology. The purpose is expository: no attempt is made to provide complete proofs, for which references are given, nor to...

This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash...

A new mechanism that substantially mitigates social dilemmas is examined theoretically and experimentally. It resembles the voluntary contribution mechanism (VCM) except that in each decision round subjects are ranked and then grouped according to their public contribution. The game has multiple...

The Maskin's theorem is a fundamental work in the theory of mechanism design. In this paper, we propose that if agents report messages to the designer through channels (\emph{e.g.}, Internet), agents can construct a self-enforcing agreement such that any Pareto-inefficient social choice rule...

This paper is a draft chapter for an edited collection on Law and Public Choice being published by Edward Elgar and edited by Dan Farber and Anne Joseph O’Connell. The chapter provides an overview of public choice literature regarding three aspects of federalism - exit-based normative...

We investigate the possible explanations of variations in aggregate levels of participation in large-scale political demonstrations. A simple public choice inspired model is applied to data derived from the annual May Day demonstrations of the Danish labour movement and socialist parties taking...

The paper communicates the essence of the findings of a study influencing participation in May Day demonstrations in Copenhagen 1980-2013. Political factors seem irrelevant for predicting the level of turn-out at May Day demonstrations. The most important factors are the weather conditions.

Mathematical Economics, Social Science and Political Science are inter-related. In this paper, an attempt has been made to describe aspects of these subjects by introducing examples, definitions, mathematical calculations and discussions. Game Theory is included in this paper to study...

The paper presents three different reconstructions of the 1980s boom of game theory and its rise to the present status of indispensable tool-box for modern economics. The first story focuses on the Nash refinements literature and on the development of Bayesian games. The second emphasizes the...