Using language game notions and the equivalence between games, this document studies John Nash's decision of not playing the coalitional game proposed by John von Neumann. The key point is that Nash suggested hypothetical worlds that are incompatible with the kind proposed by von Neumann. And,...

In this paper we give a survey of recent work on game theory devoted to modeling decision making under bounded rationality. An agent's deviation from rational choice understood as maximization of gain can be caused by moral principles (religious beliefs, altruism, patriotism), emotions (envy,...

In this paper we give a survey of recent works on game theory devoted to modeling of decision making process under bounded rationality. An agent's deviation from rational choice understood as maximization of gain can be caused by moral principles (religious beliefs, altruism, patriotism),...

We introduce the novel concept of a three-dimensional payoff matrix based on a simplified version of a card game. This matrix is necessary to represent the three variables which correspond to the dynamics of the game. We find Sonnaville-Mensink Equilibria (SME) that represent the optimal actions...

Negotiations, whether involving the initiation of relationships, modifying the terms of existing relationships, or settling disputes, are about unlocking opportunities. Mediators are professionals trained in the science and art of assisting parties in understanding each other’s point of view,...

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...

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

We consider abstract exchange mechanisms wherein individuals submit "diversified" offers in m commodities, which are then redistributed to them. Our first result is that if the mechanism satisfies certain natural conditions embodying "fairness" and "convenience" then it admits unique prices, in...

We consider mechanisms that provide traders the opportunity to exchange commodity i for commodity j, for certain ordered pairs ij. Given any connected graph G of opportunities, we show that there is a unique mechanism M_G that satisfies some natural conditions of "fairness" and "convenience."...

Consider agents who undertake costly effort to produce stochastic outputs observable by a principal. The principal can award a prize deterministically to the agent with the highest output, or to all of them with probabilities that are proportional to their outputs. We show that, if there is...