Motivated by issues of imitation, learning and evolution, we introduce a framework of non-co-operative games, allowing both countable sets of pure actions and player types and player types and demonstrate that for all games with sufficiently many players, every mixed strategy Nash equilibrium...

Interpret a set of players all playing the same pure strategy and all with similar attributes as a society. Is it consistent with self interested behaviour for a population to organise itself into a relatively small number of societies? In a companion paper we characterised how large e must be,...

In has been frequently observed, in both economics and psychology, that individuals tend to conform to the choices of other individuals with whom thy identify. Can such conformity be consistent with self-interested behaviour? To address this question we use the framework of games with incomplete...

An individual’s contribution to a public good may be seen by others as a signal of attributes such as generosity or wealth. An individual may, therefore, choose their contribution so as to send an appropriate signal to others. In this paper we question how the inferences made by others will...

Is conformity amongst similar individuals consistent with self-interested behavior? We consider a model of incomplete information in which each player receives a signal, interpreted as an allocation to a role, and can make his action choice conditional on his role. Our main result demonstrates...

Treating games of incomplete information with countable sets of actions and types and finite but large player sets we demonstrate that for every mixed strategy profile there is a pure strategy profile that is 'epsilon-equivalent'. Our framework introduces and exploits a distinction between...

In a setting where agents must choose between two investments, Zhang (in RAND J Econ 28:188–205, <CitationRef CitationID="CR7">1997</CitationRef>) proposed an equilibrium in which there is strategic delay. This equilibrium relied upon there being an information cascade. We shall demonstrate that an information cascade need not generally...</citationref>

We contrast and compare three ways of predicting efficiency in a forced contribution threshold public good game. The three alternatives are based on ordinal potential, quantal response and impulse balance theory. We report an experiment designed to test the respective predictions and find that...

We argue that the intensity of competition within a group or organization can have an important influence on whether or not people cheat. To make this point we first work through a simple model of strategic misreporting in the workplace. For low and high levels of competition we show that, in...