Can anyone give me a simple game which has Nash equilibrium (may be more than one) but no dominant strategy equilibrium
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The game which has to use mixed strategies will have no saddle point or Nash equilibrium.
a) Normal form is table with actions of one player down the rows and actions of another player across the columns. In each cell, there are two number which are payoffs to each player. Here’s the table with one cell filled in. You do the rest ______Penn __Central Penn__(+5,+5) Central Look up defintions of dominant strategy, NE and mixed NE in wikipedia or on google. You look for dominant strategies and NE by comparing payoffs given what other guy is doing. Mixed strategy does same for expected payoff when you randomize your own action. Answer are: no dominant strategies, two pure NE (both at Penn or both at Central), and one mixed (both go to Penn or Central with 50% probability)