ECON10004 Final: Games with Sequential Moves

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Strategic situations in which there is a strict order of play
Players decide current moves based on calculations of future consequences
Games with sequential moves
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Entry decision of a challenger into a race
Incumbents know that challengers are considering entering the race and make decisions in
anticipation of a challenger's response
Values increase with attractiveness of outcome
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Associate numerical values with each outcome
Senate race
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St(cid:396)ategi(cid:272) situatio(cid:374)s i(cid:374) (cid:449)hi(cid:272)h the(cid:396)e is a st(cid:396)i(cid:272)t o(cid:396)de(cid:396) of pla(cid:455) Pla(cid:455)e(cid:396)s de(cid:272)ide (cid:272)u(cid:396)(cid:396)e(cid:374)t (cid:373)o(cid:448)es (cid:271)ased o(cid:374) (cid:272)al(cid:272)ulatio(cid:374)s of futu(cid:396)e (cid:272)o(cid:374)se(cid:395)ue(cid:374)(cid:272)es. E(cid:374)t(cid:396)(cid:455) de(cid:272)isio(cid:374) of a (cid:272)halle(cid:374)ge(cid:396) i(cid:374)to a (cid:396)a(cid:272)e. I(cid:374)(cid:272)u(cid:373)(cid:271)e(cid:374)ts k(cid:374)o(cid:449) that (cid:272)halle(cid:374)ge(cid:396)s a(cid:396)e (cid:272)o(cid:374)side(cid:396)i(cid:374)g e(cid:374)te(cid:396)i(cid:374)g the (cid:396)a(cid:272)e a(cid:374)d (cid:373)ake de(cid:272)isio(cid:374)s i(cid:374) a(cid:374)ti(cid:272)ipatio(cid:374) of a (cid:272)halle(cid:374)ge(cid:396)"s (cid:396)espo(cid:374)se. Challe(cid:374)ge(cid:396)s (cid:449)at(cid:272)h (cid:271)eha(cid:448)iou(cid:396) of i(cid:374)(cid:272)u(cid:373)(cid:271)e(cid:374)ts to assess (cid:272)ha(cid:374)(cid:272)es of (cid:449)i(cid:374)(cid:374)i(cid:374)g. Most easil(cid:455) illust(cid:396)ated usi(cid:374)g ga(cid:373)e t(cid:396)ees (cid:894)e(cid:454)te(cid:374)si(cid:448)e fo(cid:396)(cid:373) of a ga(cid:373)e(cid:895) Illust(cid:396)ates all possi(cid:271)le a(cid:272)tio(cid:374)s that (cid:272)a(cid:374) (cid:271)e take(cid:374) (cid:271)(cid:455) all pla(cid:455)e(cid:396)s. De(cid:272)isio(cid:374) (cid:374)ode = spe(cid:272)ifi(cid:272) poi(cid:374)ts at (cid:449)hi(cid:272)h de(cid:272)isio(cid:374)s a(cid:396)e (cid:373)ade a(cid:374)d asso(cid:272)iated (cid:449)ith the pla(cid:455)e(cid:396) (cid:449)ho (cid:272)hooses a(cid:374) a(cid:272)tio(cid:374) at that (cid:374)ode. I(cid:374)itial (cid:374)ode = de(cid:272)isio(cid:374) (cid:374)ode that (cid:396)ep(cid:396)ese(cid:374)ts sta(cid:396)ti(cid:374)g poi(cid:374)t of the ga(cid:373)e. Te(cid:396)(cid:373)i(cid:374)al (cid:374)ode = e(cid:374)d poi(cid:374)ts a(cid:374)d asso(cid:272)iated (cid:449)ith a set of out(cid:272)o(cid:373)es fo(cid:396) pla(cid:455)e(cid:396)s (cid:894)pa(cid:455)offs (cid:396)e(cid:272)ei(cid:448)ed (cid:271)(cid:455) pla(cid:455)e(cid:396)s if ga(cid:373)e follo(cid:449)s (cid:271)(cid:396)a(cid:374)(cid:272)hes that lead to the (cid:374)ode(cid:895) Rep(cid:396)ese(cid:374)t possi(cid:271)le a(cid:272)tio(cid:374)s that (cid:272)a(cid:374) (cid:271)e take(cid:374) f(cid:396)o(cid:373) a(cid:374)(cid:455) de(cid:272)isio(cid:374) (cid:374)ode.

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