This paper examines sets of Nash equilibrium in sender-receiver games that are stable against replacement by alternative Nash equilibria. Such stable sets exist. In partial common interest games they contain only informative equilibria.

The paper deals with the literature on social evolution.

This paper explores the quantitative relation between non-random, assortative matching and the maintenance of cooperative behavior under evolutionary dynamics.

A hostage with respect to an action of a player is defined here to be an amount ofpayoff that will be placed in the opponent's possession if the player takes the action. Whereas the only Nash equilibrium for a prisoner's dilemma game is mutual defection, it is shown that there are at most two...

Until the beginning of 1950s, the economic theory in general, and the microeconomic theory in particular, relied totally on the deterministic character of economic phenomena. Nowadays microeconomic models are built on uncertain elements in a competitive environment that is affected by risk and...

We propose some variants of a multi-modal of joint action, preference and knowledge that support reasoning about epistemic games in strategic form. The first part of the paper deals with games with complete information. We first provide syntactic proofs of some well-known theorems in the area of...

Game and decision theory start from rather strong premises. Preferences, represented by utilities, beliefs represented by probabilities, common knowledge and symmetric rationality as background assumptions are treated as “given.” A richer language enabling us to capture the process leading...

Costly signaling is a mechanism through which the honesty of signals can be secured in equilibrium, even in interactions where communicators have conflicting interests. This paper explores the dynamics of one such signaling game: Spence’s model of education. It is found that separating...

Prompted by a real-life observation in the UK retail market, a two-player Prisoners’ Dilemma model of an alliance between two firms is adapted to include the response of a rival firm, resulting in a version of a three-player Prisoners’ Dilemma. We use this to analyse the impact on the...