Arish Pitchai

Work place: Dept. of Computer Applications, National Institute of Technology Tiruchirappalli, Trichy 620015, India

E-mail: arish.p@gmail.com

Website:

Research Interests:

Biography

Arish Pitchai graduated with Bachelor of Computer Applications degree from Madurai Kamaraj University and Master of Computer Applications degree from National Institute of Technology Tiruchirappalli. Presently, he is pursuing Ph.D degree in Computer Applications in National Institute of Technology Tiruchirappalli.

Author Articles
Quantum Walk Algorithm to Compute Subgame Perfect Equilibrium in Finite Two-player Sequential Games

By Arish Pitchai A V Reddy Nickolas Sarvarimuthu

DOI: https://doi.org/10.5815/ijmsc.2016.03.03, Pub. Date: 8 Jul. 2016

Subgame Perfect Equilibrium (SGPE) is a refined version of Nash equilibrium used in games of sequential nature. Computational complexity of classical approaches to compute SGPE grows exponentially with the increase in height of the game tree. In this paper, we present a quantum algorithm based on discrete-time quantum walk to compute Subgame Perfect Equilibrium (SGPE) in a finite two-player sequential game. A full-width game tree of average branching factor b and height h has nodes in it. The proposed algorithm uses oracle queries to backtrack to the solution. The resultant speed-up is times better than the best known classical approach, Zermelo's algorithm.

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