id: 06141903
dt: j
an: 2013b.00819
au: Levine, Lionel; Stange, Katherine E.
ti: How to make the most of a shared meal: plan the last bite first.
so: Am. Math. Mon. 119, No. 7, 550-565 (2012).
py: 2012
pu: The Mathematical Association of America, Washington, DC
la: EN
cc: M45
ut: games; equilibrium
ci: 
li: doi:10.4169/amer.math.monthly.119.07.550
ab: Summary: If you are sharing a meal with a companion, then how is it best to
    make sure you get your favourite mouthfuls? Ethiopian Dinner is a game
    in which two players take turns eating morsels from a common plate.
    Each morsel comes with a pair of utility values measuring its tastiness
    to the two players. Kohler and Chandrasekaran discovered a good
    strategy-a subgame perfect equilibrium, to be exact-for this game. We
    give a new visual proof of their result. The players arrive at the
    equilibrium by figuring out their last move first and working backward.
    We conclude that it’s never too early to start thinking about
    dessert.
rv: