/ColorSpace << Strategic Dominance: A Guide to Dominant and Dominated Strategies Accordingly, a strategy is dominant if it leads a player to better outcomes than alternative strategies (i.e., it dominates the alternative strategies). If you have a strictly dominated strategy, expect other players to anticipate youll never play it and choose their actions accordingly. Strategy C weakly dominates strategy D. Consider playing C: If one's opponent plays C, one gets 1; if one's opponent plays D, one gets 0. Mean as, buddy! /Shading << /Sh << /ShadingType 3 /ColorSpace /DeviceRGB /Domain [0 1] /Coords [4.00005 4.00005 0.0 4.00005 4.00005 4.00005] /Function << /FunctionType 2 /Domain [0 1] /C0 [0.5 0.5 0.5] /C1 [1 1 1] /N 1 >> /Extend [true false] >> >> xrVq`4%HRRb)rU,&C0")|m8K.^^w}f0VFoo7iF&\6}[o/q8;PAs+kmJh/;o_~DYzOQ0NPihLo}}OK?]64V%a1govp?f0:J0@{,gt"~o/UrS@ The first thing to note is that neither player has a dominant strategy. >>/ExtGState << Connect and share knowledge within a single location that is structured and easy to search. The reason it lists strictly dominated strategies instead of strictly dominant strategies is that there is no guarantee that a player will play a strictly dominant strategy in equilibrium once you extend past 22 matrices. And is there a proof somewhere? IESDS on game with no strictly dominated strategies. 3 0 obj << We can then fill in the rest of the table, calculating revenues in the same way. Tourists will choose a bar randomly in any case. S2={left,middle,right}. Recall from last time that a strategy is strictly dominated if another strategy exists that always pays strictly more regardless of what other players are doing. Your excel spreadsheet doesnt work properly. It uniquely survives the iterated elimination of strictly dominated strategies, so the unique Nash equilibrium for this case is (Row k+1, Column k+1). This lesson formalizes that idea, showing how to use strict dominance to simplify games. $$ D (=. They really help out authors! In game theory, strategic dominance (commonly called simply dominance) occurs when one strategy is better than another strategy for one player, no matter how that player's opponents may play. Consequently, if player 2 knows that player 1 is rational, and player 2 Nash-equilibrium for two-person zero-sum game.
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