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In symmetric 2x2 coordination games, a pure NE is risk dominant iff it is the unique best reply to the mixture $(\frac12,\frac12)$.Since Level-0 types are usually assumed to mix uniformly over pure strategies, all higher-level types play the risk-dominant NE. The strategy pair (Hunt, Hunt) is payoff dominant since payoffs are higher for both players compared to the other pure NE, (Gather, Gather). This lesson uses the stag hunt to introduce the concept of pure strategy Nash equilibrium (PSNE). Close. Often, games with a similar structure but without a risk dominant Nash equilibrium are called stag hunts. 0hºï h�l5 5�B*CJ OJ QJ ^J mH ph sH (h�l5 h�l5 5�B*CJ OJ QJ ^J ph 9j h�l5 h�l5 5�B*CJ OJ QJ U^J mH ph sH 0h�l5 h�l5 5�B*CJ OJ QJ ^J mH ph sH 6j h�l5 h�l5 B*CJ OJ QJ U^J mH ph sH %h�l5 h�l5 B*CJ OJ QJ ^J ph !$ï „ „ dºş ^„ „ gdºï ê *h�l5 5�B*CJ OJ QJ ^J mH ph sH 2 1�h:pë Ë °‚. Formally, a stag hunt is a game with two pure strategy Nash equilibria - one that is risk dominant and another that is payoff dominant.The payoff matrix in Figure 1 illustrates a stag hunt, where .Often, games with a similar structure but without a risk dominant Nash equilibrium are called stag hunts. Formally, a stag hunt is a game with two pure strategy Nash equilibria - one that is risk dominant and another that is payoff dominant. In the fall season, a Maral hunt runs on the same lines as an Elk hunt in North America. The game in Figure 1 is a well-known game-theoretic dilemma called stag hunt. I study the emergence of coordination using a simple stag hunt game at both the individual and population levels. p 1-p His payoff from targeting Rabbit: His payoff from targeting Stag: U2(R;p) = . 1. Hence, everyone ends up being socially late. 2 Risk Dominance, the Stag Hunt, and Equilibrium Selection We begin by illustrating the intuition behind our results with the simple matrix Stag Hunt. dominant strategy for both players in the one-shot game. It is easy to construct examples where low-order strategies result in risk-dominant policies, which turn into payoff-dominant policies as high-order strategies are employed; as illustrated next. † œ ˜ ˜ � � � � � � � 6 6 6 6 6 6 6 6 6 v v v v v v v v v 6 6 6 6 6 6 > 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 ¨ 6 6 6 6 6 6 6 6 6 6 ¸ 6 6 6 6 6 6 6 6 6 6 6 6 h H 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 ° 6 € @ñÿ € ²Û S t a n d a r d , n a g l o w e k 1$„„äş^„„äşa$' 5�CJ OJ PJ QJ _HaJ mHsHtH  @  ™K÷ � Ü b e r s c h r i f t 1$\$F Formally, a stag hunt is a game with two pure strategy Nash equilibria - one that is risk dominant another that is payoff dominant. ¤ğ ¤x @&. Die Strategie der Hasenjagd ist dominant. They nd that, absent communication, an overwhelming fraction of choices are in line with the risk dominant choice of hare.