# stag hunt dominant strategy

The strategy pair Hare, Hare provides a higher expected pay-off. Mixed Strategy Nash Equilibrium • A mixed strategy profile a* =( a 1 *,000 ,an *) is a Nash Equilibrium iff, for each player i, at is a "best response" when all the other players play according to a* 0 • l.eo 0 1 of a j *() SI > 0 'Sj IS 0 a b est response to a_I * 0 David Hume also has the stag hunt. This lesson uses the stag hunt to introduce the concept of pure strategy Nash equilibrium (PSNE). Since the sucker payoff is the worst payoff in a stag hunt, this principle suggests that any stag hunt presents a dilemma. What do we do then? Ğ $$If –†!v h5Ö Ì5Ö^5Ön#v Ì#v^#vn:V 4”³Ö0K¬Æ K¬Æ K¬Æ K¬Æ ÿ ÿ ö˜6+Ö ,Ö 5Ö Ì5Ö^5Ön/Ö The sections below provide a variety of more precise characterizations of the prisoner's dilemma, beginning with the narrowest, and survey some connections with similar games and some applications in philosophy and elsewhere. Under these considerations, the payoffs to this game are exactly the same as the stag-hunt game, with the strategies having different labels: So although everyone would prefer to show up on time and have the big payoff, it is a risky equilibrium. In game theory, the stag hunt is a game which describes a conflict between safety and social cooperation.Other names for it or its variants include "assurance game", "coordination game", and "trust dilemma".Jean-Jacques Rousseau described a situation in which two individuals go out on a hunt.Each can individually choose to hunt a stag or hunt a hare. A game is finite if the number of players in the game is finite and the number of pure strategies each player has is finite. Which suggests that it should be a lot easier to get cooperation? A widely used framework for modeling social and economic phenomena is the 2 x 2 strategic games, of which include classical forms such as Prisoner’s Dilemma, Stag Hunt, and Battle of Sexes. pure strategy Nash equilibria - one that is . Game theory There may or may not be a Nash equilibrium in infinite games. When 10 T\20, C½T is a Stag Hunt coordination game with two Pareto rankable pure strategy equilibria: the cooperative, efﬁcient equilibrium where both players play X and the inefﬁcient equilibrium where both players play Y. 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 . In game theory, the stag hunt is a game which describes a conflict between safety and social cooperation.Other names for it or its variants include "assurance game", "coordination game", and "trust dilemma".Jean-Jacques Rousseau described a situation in which two individuals go out on a hunt.Each can individually choose to hunt a stag or hunt a hare. 28.4 (1) The Stag Hunt game is based on a story told by Jean Jacques Rousseau in his book Discourses on the Origin and A stag-hunt game (with the risky and safe actions) has two pure Nash equilibria that are Pareto-rankable. The game is a prototype of the social contract. The 2-by-2 matrix of figure 1 determines two players, Row and Col, who each have two pure strategies: R1 and C1 (go deer hunting) and R2 and C2 (go hare hunting). The suckers payoff also becomes less, although 'invasion' by a pure defection strategy is not entirely eliminated. payoff dominant. While (Hare, Hare) remains a Nash equilibrium, it is no longer risk dominant. In the type of games considered here, two Nash equilibria exist, so that behavior by rational agents (which approximates individual decision-making under deliberation) remains substantially indeterminate. payoff dominant. [1–3]).But much of human cooperation is mutualistic and so better described by coordination games in which cooperation benefits all, and there is no temptation to defect [4,5]. The most important and well-known solution concept in game theory is the Nash equilibrium: a combination of strategies, one for each player, with the property that each player's The stag hunt has two players, each of whom has two pure strategies. We study the Stag Hunt game where two players simultaneously decide whether to cooperate or to choose their outside options (defect). Hunting stags is quite challenging and requires mutual cooperation. Keywords: stag hunt, coordination, risk-dominance, risk framing JEL: C91, C72, D8. 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