A Game Theory Analysis of the Final Five Laps of the 2008 Formula 1 Brazilian Gr

A Game Theory Analysis of the Final Five Laps of the 2008 Formula 1 Brazilian Gr www.phwiki.com

A Game Theory Analysis of the Final Five Laps of the 2008 Formula 1 Brazilian Gr

Brill, Barbara, Contributing Editor has reference to this Academic Journal, PHwiki organized this Journal A Game Theory Analysis of the Final Five Laps of the 2008 Formula 1 Brazilian Gr in addition to Prix Jordan Diekema Analyze the pit strategies of three key drivers as long as the final five laps of Brazilian GP Felipe Massa (Ferrari) Lewis Hamilton (McLaren-Mercedes) Timo Glock (Toyota) Goal: Show that the reason Glock chose not to pit was out of self-interest Show that what would normally be viewed as an irrational strategy was, in fact, rational

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Rain started with 5 laps to go Massa running in 1st, Hamilton running in 4th If Massa won, Hamilton needed 5th or better Massa in addition to Hamilton pit Change to intermediate wet tires Sensible strategy Glock does not pit Stays on dry tires despite rain Passes Hamilton while in pits Hamilton drops from 5th to 6th, out of contention Massa won Hamilton passes Glock on final corner of final lap to take 5th Two basic strategies: Make a pit stop (P) Don’t make a pit stop (D) Reasons to pit: Wet track Change to wet tires as long as better traction Minimize risks Reasons not to pit: Very few Don’t waste time by pitting Championship points Points based on finishing place 10, 8, 6, 5, 4, 3, 2, 1 Monetary rewards Comparative payoffs (+), (-) Reputation Comparative payoffs (+), (~), (-)

Risk discount factor multiplied by D payoffs 0 < r < 1 Helps to differentiate payoffs as long as P in addition to D Example: Massa gets 10 pts if P Massa gets 10r pts if D D is far riskier strategy, in addition to thus the payoff is discounted by r P=Pit D=Don’t pit Row 1—Championship points payoffs Row 2—monetary reward comparative payoffs Row 3—reputation comparative payoffs Used: Iterated Elimination of Dominated Strategies Sub-Perfect Nash Equilibria Results: Massa, Hamilton always choose P Glock always chooses D Holds as long as all three variables Choosing D was rational as long as Glock Because of his perception of risk D was the strategy that maximized his payoffs Brill, Barbara South Coast Magazine Contributing Editor www.phwiki.com

Brill, Barbara Contributing Editor

Brill, Barbara is from United States and they belong to South Coast Magazine and they are from  San Clemente, United States got related to this Particular Journal. and Brill, Barbara deal with the subjects like Architecture; Art; Leisure; Regional Interest

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