Some of my challenge learning game theory is the symbols or denotation of. It is hard to change certain situation from sentence to the "mathys" language. Here I sum up some of the important Denotation. INGREDIENTS OF THE GAME Denotations Player - i ,j (little) 1,2,3 Set Of Players N Actions a Action Profile (set of action of each player) a = (ai…an) Action of other player other than ' i ' (notice there is a minus sign) a-1 = (a1, a2,…a_i,a +i, …an). Action of all player ; i and everyone else a = ( ai , a_i ) Utility or Pay-offs; *Utility must be attached with action. So the symbol must come together Ui ( ai , a_i) *I understand it just like function f(x) SET of Strategy Strategies = A plan of action for a game/strategy profile (little s) S s s = (s1,…,sn) particular strategy of player i si Strategy of i and other than i s = ( s , s_i) which is s_i = (s1, s2 ,..,s_i,s+i,…sn) Important Note! All problem have particular Timing and Information of the game. It is important on the strategy to answer the question. Timing of the game can be; Static: simultaneous actions in a single period Dynamic: non-simultaneous action over different periods Repeated: Simultaneous action over multiple. Information of the game can be; Incomplete information: Payoffs of other may be unknown Imperfect Information: Actions (or history of) is unobserved
Game Theory Denotation Easy to Understand
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23 October 2014
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