Status Updates From Two-Person Game Theory (Dov...
Two-Person Game Theory (Dover Books on Mathematics) by
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Jolene
is on page 93 of 240
I 2x2 games w/o sdlpt, mixed strat is unique(p1, q1). If one plays minmax, same expected payoff regardless of other plyr's move. If 2x2 has sdlpt, at leas 1 plyr has domin. strat. If neither has domin. strat, no sdlpt. Hard to extend to lgr games. (82)
Section ends with notes on mixed prudent strategies and involvement of risk to attain lgr payoffs than 0 (exp value over long-run in 2pp ZSG).
— May 07, 2012 09:55AM
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Section ends with notes on mixed prudent strategies and involvement of risk to attain lgr payoffs than 0 (exp value over long-run in 2pp ZSG).
Jolene
is on page 78 of 240
Minmax strats are certainly prudent (pure prudent=saddlepoint if coincident)
Mixed strats in 2pp ZSG will have value of game=0, EP's to plyrs will cancel exactly for right choice of p,q.
"In strat mix of game w/ saddlept, prob=1 to strat w/ saddlept and 0 to every other." (74)
There exists best strat for ea plyr in 2pp ZSG. If saddlept, at least one (if not more) best strats for ea. No sdlpt, no best pure->mix
— May 07, 2012 09:30AM
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Mixed strats in 2pp ZSG will have value of game=0, EP's to plyrs will cancel exactly for right choice of p,q.
"In strat mix of game w/ saddlept, prob=1 to strat w/ saddlept and 0 to every other." (74)
There exists best strat for ea plyr in 2pp ZSG. If saddlept, at least one (if not more) best strats for ea. No sdlpt, no best pure->mix
