We consider an economy with two types of firms (innovative and non-innovative) and two types of workers (skilled and unskilled), where workers' decisions are driven by imitative behavior, and thus the evolution of such an economy depends on the initial distribution of the firms. We show that...

This paper studies repeated games with pure strategies and stochastic discounting under perfect information. We consider infinite repetitions of any finite normal form game possessing at least one pure Nash action profile. The period interaction realizes a shock in each period, and the...

We analyze the main dynamical properties of the evolutionarily stable strategy ESS for asymmetric two-population games of finite size in its corresponding replicator dynamics. We introduce a defnition of ESS for two-population asymmetric games and a method of symmetrizing such an asymmetric...

This paper is a brief history of game theory with its main theme being the nature of the decision makers assumed in the various stages of its historical development. It demonstrates that changes in the "image of man" nourished the developments of what many believe to be progress in game theory....

The idea of team-thinking or we-thinking is increasingly drawing the attention of economists. The main claim of scholars who analyze we-thinking is that it is a coherent mode of reasoning people may use when they face a decision problem. But, if there is a general agreement on the existence of...

This paper analyzes the cultural evolution of firms and workers. Following an imitation rule, each firm and worker decides whether to be innovative (or not) and skilled (or unskilled). We apply evolutionary game theory to find the system of replicator dynamics, and characterize the low-level and...

Consider a contest for a prize in which each player knows his/her own ability, but may or may not know those of his/her rivals (the complete or incomplete information regimes). Our main result is that, if the value of the prize is high, more effort and output are engendered under incomplete...

It is common to model costs of carrying out strategies in games in relation to the complexity, in some sense, of the strategies. We show a particularly general definition of complexity for this purpose, one that subsumes many alternatives as special cases. We explore how this definition can be...

This paper studies network formation in settings where players are heterogeneous with respect to benefits as well as the costs of forming links. Our results demonstrate that centrality, center-sponsorship and short network diameter are robust features of equilibrium networks. We find that in a...

Aim: To present a systematic development of the theory of combinatorial games from the ground up. Approach: Computational complexity. Combinatorial games are completely determined; the questions of interest are efficiencies of strategies. Methodology: Divide and conquer. Ascend from Nim to Chess...