In this paper, we consider the use of artificial intelligence techniques to aid in discovery of winning strategies for the Commons Game (CG). The game represents a common scenario in which multiple parties share the use of a self-replenishing resource. The resource deteriorates quickly if used indiscriminately. If used responsibly, however, the resource thrives. We consider the scenario one pla...

The literature on imperfectly discriminating contests has almost exclusively focused on complete information. We study such contests assuming players have private information. We identify a general class of imperfectly discriminating contests for which findings by Athey (2001) imply the existence of a Bayesian Nash equilibrium in monotone pure strategies. The main assumptions are that a player’...

We study a model of sequential bargaining in which, in each period before an agreement is reached, a proposer is randomly selected, the proposer suggests a division of a pie of size one, each other agent either approves or rejects the proposal, and the proposal is implemented if the set of approving agents is a winning coalition for the proposer. We show that stationary equilibrium outcomes of ...

The Judo World Ranking List has been used to assess its predictive power regarding athletic performance. aim of this study was check if the ranking difference among athletes in individual rankings could be as a predictor for outcome mixed teams judo competition. We sought verify association between variable “rank difference” and probability higher-ranked athlete winning against that lower-ranke...

This paper focuses on collective contests for commons and club goods. Our main objective is to examine in this context the effect of group size on its performance. The main results specify conditions for the existence (non-existence) of the group-size paradox, namely, the situation where a larger group is less (more) effective in pursuing its interest because of (despite) the combined effect of...

The game of lottery is both popular and simple. Focusing on the essentials, and leaving aside additional features of secondary importance, which vary across different lottery implementations, the rules of the game are as follows: each player submits to the lottery organizers a ticket consisting of M integers selected by the player, without repetitions, selection order being unimportant from the...

Using data for 2008-2009, we determine winning strategies for the game in two different formats: 50-over one-day internationals and 20-over games from the Indian Premier League and Twenty20 Internationals. We find that attacking batting and defensive bowling outperform all other strategies in determining the probability of winning in both formats despite the thirty over difference between them....

Penny auction is an innovative, popular online auction format in which bidders are charged a small fee for placing each bid. A penny auction typically ends up with an extremely low final auction price, such that only one winning bidder can derive positive consumer surplus whereas other bidders lose out from the bidding costs. This makes it challenging to retain bidders who rarely win. Using a f...

We prove that optimal strategies exist in perfect-information stochastic games with finitely many states and actions and tail winning conditions. Introduction We prove that optimal strategies exist in perfect-information stochastic games with finitely many states and actions and tail winning conditions. This proof is different from the algorithmic proof sketched in [Hor08]. 1. Perfect-Informati...