Pretend play has recently been of great interest to researchers studying children's understanding of the mind. One reason for this interest is that pretense seems to require many of the same skills as mental state understanding, and these skills seem to emerge precociously in pretense. Pretend play might be a zone of proximal development, an activity in which children operate at a cognitive lev...

the generalized principal ideal theorem is one of the cornerstones of dimension theory for noetherian rings. for an r-module m, we identify certain submodules of m that play a role analogous to that of prime ideals in the ring r. using this definition, we extend the generalized principal ideal theorem to modules.

Bekoff [J. Consci. Stud. 8 (2001) 81] argued that mammalian social play is a useful behavioral phenotype on which to concentrate in order to learn more about the evolution of fairness. Here, we build a game theoretical model designed to formalize some of the ideas laid out by Bekoff, and to examine whether 'fair' strategies can in fact be evolutionarily stable. The models we present examine fai...

This article constructs a new framework for the study of games as sites of social rationalization, applying Feenberg’s critical theory of technology. We begin by making the case for a consideration of games as systems of social rationality, akin to other modern systems such as capitalist markets and bureaucratic organizations. We then present a conceptualization of play as a process through whi...

We report on an experiment in which subjects choose actions in strategic games with either strategic complements or substitutes against a granny, a game theorist or other subjects. The games are selected in order to test predictions on the comparative statics of equilibrium with respect to changes in strategic ambiguity. We find that subjects face higher ambiguity while playing against the gran...

The use of game theory in modelling the natural world is widespread. However this modelling mainly involves two player games only, or ‘playing the field’ games where an individual plays against an entire (infinite) population. Game theoretic models are common in economics as well, but in this case the use of multiplayer games has not been neglected. This paper outlines where multiplayer games h...

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