DIRECTION GAME OF GAME THEORY

in thsi direction game when two or three or any numebr will strkke they will give distance and strike pay off and by that their soritng or their order willl motivate how thsi game in this game there will be east west north south then eveyr person is able to draw own direction skecth and choose dreiction on paper or on reality iamgine there is 10 guys so they ahve chosen direction so here if imgine three guys that they hve chsoen direction w-s-n and n-e-w and e-w-n so in it they will walks contnue because non of them meet singel direction to eahc other in same order but if in next they sue (1)w-s-n-e and (2) n-e-w-e then there will payoff means here if e and e direciton first equation payoff is greter then the econd eqauiton apyoff then it will distribute to w-s-n-e then remaisn as w-s-n with payoff means w+(e-e of second )-s+(e-e of second) ...for each direction here there will be on one desitnaiton of them where they have to reach and here one thing if (1)w-s-n-(-e) and (2) n-e-w-(-e) then equal payoff then this pay off will neglect here means by that in taht race we need forts winneer means by payoff of directions, in simple words person is gping in three direction e w and n north and another is going on driciton n w and s then w if first payoff w is greter then anotehr payoff of w then w ill deduct from e so e+(w firt - wseocnd) + n+w firts - w second means pay off wlll added then we got knwo who will be thw ineer here we set the final destination of to ahcive and we could set maxmimu and minimmum fold of distance that need means mulitple eprson coudl sue or msut to sue 15 steps of thinsg or 35 steps of things then comariosn eahc other by apy off and then eahc pya off ther will be finsl winers and orders fo winenrs we check the tola payoff to destiantion means how they could achive means like 30 metrs toa hcive so to achive it we use many fold of distance back and forth , or not means if codntion that come to back twices time ot thricd with with any distance then payoff of distcne will cheke to addition the comrtaive distcne payoff with to aaddtion as rewards

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