Question

Hi - Please answer each part of the question. This is not a multiple choice question. Thanks

One by one show your work to decide if a strategy profile is (a) Nash Equilibrium, (b) Subgame Perfect Nash Equilibrium, (c) both, and (d) neither. Make sure to draw the normal form table of the game. (100,200) Iraq Not Fight Fight Remain (10,150) US Withdraw (80,150) Trag NF (30,200)

Answer 1

Isaq Not fight - (200,200) Remain ( 10, 250) (80,150] withdraw ... NF. Y 30,200) a Now the strategic form of the game will be . Iraq NE NF NF;F FF F, NF us Remain | 100, 200 100,200 10,150 / 10,150 withdraw 180, 150 30,200 89,150 30, 240 When us choosin 'Remains, Inaq will choose eithes (NF; Nf) or (NFF) When us choosis withdraw) Iraq will choose either (NFF) or (FNF). . When I raq chooses (Nf, Nf) US will choose cs sco Remain'. CamScanner

When I Iraq choosy (Nf; f) Us will choose 'Remain? When I raq chooses (F;F), us will choose withdraw'. When 'Iraq choose (FjNF) .. Us will choose with draw? : Hunce Nash equilibia outions will but [ Remain, (Nf, NF)] ₂ (100, 200) [ Remain, (NF, F77 = (1.00, 200) and [ with draws (FjNF)] = (30, 200) Now, we will find the subgune pubect (100,200 raq Not fiqut (100, 200) Nash equilibrium .. Fight Remain . ( 10, 150) > ورا wf-180,250) withdraw a Iraq a 430,200) ( 30, 200). Cs Scanned with CamScanner

Now, u backw and induction method, Iraq will choose - Not fight' when given us has chosen strategy 1 Remain and Iraq will choose C Fight (F)" cliven us has chosen 'Withdraw? Now finally us will compune betw an the Outcomes that Iraq has chosm and will choose 'Remain' as it is manimisn us's pay off putect Hunce sub que Nash the of equilibrium que will be : ( Remain, Not fight) = (1.00, 200). ' Remain' as tut Nash equilina Hace (e) The strategy ( Remain, Not Fight is both hash equilibrium and subgue putect hash equilibrium (d) Hue the strategin (Remain, Fight) and (withdraw, NF) i neither hash equilibrium nor sub que pufect nash equilibrium, CS Scanned with PT. CamScanner