<p>We analyze a simple picking game where two players, Left and Right, pick objects (with certain values assigned to the objects) alternatively, with a bidding variation. Instead of picking objects alternatively, players bid to make a move. We derive a Nash equilibrium with respect to the bids of the players and propose algorithms to maximize the utilities of the players.</p>

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Discrete-Bidding Picking Sequence Games

  • Ravi Kant Rai

摘要

We analyze a simple picking game where two players, Left and Right, pick objects (with certain values assigned to the objects) alternatively, with a bidding variation. Instead of picking objects alternatively, players bid to make a move. We derive a Nash equilibrium with respect to the bids of the players and propose algorithms to maximize the utilities of the players.