Timing for Fall 2007 - Monday, 3 - 4 pm
Location: NH - 348 (Conference Room)

Classical vs. Quantum Strategies in the Game of Chicken

Speaker: Aden Ahmed

Abstract

First Step: We will classically analyze the game, identify all the equilibria and compute
the corresponding payoffs.

Second Step: we will quantize the game using Eisert-Wilkens' scheme and identify the
quantum strategies with the set of units quaternions (Landsburg's Construction). Notions
of "pure quantum strategy" (PQS) and "mixed quantum strategy" (MQS) quantum strategies
will be discussed. We will utilize
Landsburg's Identification to find the equilibria in PQS and MQS and compute the
corresponding payoffs.

Third Step: We contrast steps 1 & 2 and answer the question: Do the players gain more in
the quantized chicken?

Fourth Step: We discuss why it is not fair to compare Steps 1 and 2. We will discuss
Meyer's idea: "we should be comparing classical and quantum versions of games with
mediated communication". Notions of "correlated equilibria" will be discussed. We attempt
to answer the question of step 3 in this new context.