It is well known that the rock-paper-scissors game has no pure saddle point. We show that this holds more generally: A symmetric two-player zero-sum game has a pure saddle point if and only if it is not a generalized rock-paper-scissors game. Moreover, we show that every finite symmetric...

We seek an evolutionary explanation for why in some situations humans maintain either optimistic or pessimistic attitudes towards uncertainty and are ignorant to relevant aspects of their environment. Players in strategic games face Knightian uncertainty about opponents' actions and maximize...

We show that for many classes of symmetric two-player games, the simple decision rule imitate-the-best can hardly be beaten by any other decision rule. We provide necessary and sufficient conditions for imitation to be unbeatable and show that it can only be beaten by much in games that are of...

In this paper we show that reputation formation in endogenously formed relationships is a decisive determinant for the existence and performance of credit markets. In theabsence of any third party enforcement of debt repayment the contracting parties succeed in establishing stable bilateral...

We suggest a simple asset market model in which we analyze competitive and strategic behavior simultaneously. If two-fund separation is found to hold across periods for competitive behavior, it also holds for strategic behavior. In this case the relative prices of the assets do not depend on...

We explain excess volatility, short-term momentum and long-term reversal of asset prices by a repeated game version of Keynes beauty contest. In every period the players can either place a buy or sell order on the asset market. The actual price movement is determined by average market orders and...

Payoff security combined with reciprocal upper semicontinuity is sufficient for better-reply security, and consequently for the existence of a pure strategy Nash equilibrium in compact, quasiconcave games by Reny's (1999) theorem. Analogously, diagonal payoff security combined with upper...

Most literature in strategic network formation shows that there is a substantial tension between stability and efficiency. In this note, I show that such is not the case in the twoway flow model with small decay studied by Bala and Goyal (2000a) and De Jaegher and Kamphorst (2015). Specifically,...

This paper studies Colonel Blotto games with two battlefields where one player has a head start in the form of additional troops on one of the battlefields. Such games arise naturally in marketing, electoral competition, and military conflict. Sion and Wolfe (1957) have shown that, if the...

While the game-theoretic analysis of conflict is often based upon the assumption of multiplicative noise, additive noise such as assumed by Hirshleifer (1989) may be equally plausible depending on the application. In this paper, we examine the equilibrium set of the n-player difference-form...