Competitive Altruism, Mentalizing and Signalling

The human tendency to cooperate with nonkin even in short-run relationships remains a puzzle. Recently it has been hypothesized that altruism may be a byproduct of “mentalizing”, the process of understanding and predicting the mental states of others. Another idea is based on sexual selection: altruism is a costly signal of good genes. The paper shows that these two arguments are stronger when combined in that altruists who can mentalize have a greater advantage over non-altruists when they can signal their type, even though these signals are costly. Further, once such an equilibrium is established, altruists will not be supplanted by mutants who have similar mentalizing abilities but who lack altruism.

Efficient Nash Equilibrium under Adverse Selection

This paper revisits the problem of adverse selection in the insurance market of Rothschild and Stiglitz [28]. We propose a simple extension of the game-theoretic structure in Hellwig [14] under which Nash-type strategic interaction between the informed customers and the uninformed firms results always in a particular separating equilibrium. The equilibrium allocation is unique and Pareto-efficient in the interim sense subject to incentive-compatibility and individual rationality. In fact, it is the unique neutral optimum in the sense of Myerson [22].