I. Morrison and D. Swinarski. Can you play a fair game of craps with a loaded pair of dice? Experimental Math. 20 (2011), pp. 34-56.Ian Morrison and David Swinarski. Can you play a fair game of craps with a loaded pair of dice? Am. Math. Monthly, 123(2):136-148, 2016....
As the two players in Square++ act on different roles, we apply a biased coin to make the game playing fair. That is, one player has p chance to go, the other player has (1 − p) chance to go. The challenging issue of this study is to find the exact value of p for a given...
The locality of the definition leads us to a polynomial-time algorithm for checking fair simulation for finite-state systems with weak and strong fairness constraints. Finally, fair simulation implies fair trace containment and is therefore useful as an efficiently computable local criterion for proving...
and all the comments. Having analyzed polyhedral/geodesic structures in the past, being bit of a logician with my information science background coming to fruit and partial to probability, and this whole discussion reminding me of way back when I was learning about finite state automata...
The state space and the actions sets at each state are assumed to be countable with at least one of the action sets finite. The game is assumed to be superfair in the sense that, at every state, the value of the one-shot game in which the payoff is the expectation of the reward ...
game theoryKnaster''s procedureIn 1945, Bronislaw Knaster proposed a procedure to divide any number of indivisible goods between a finite number of players requiring the players to place monetary values or bids on all of the goods. Often discussed in math for liberal arts courses that ...
Legut =-=[13]-=- proved the existence of core stable partitions with TU for the countable number of individuals with a nonatomic finite measure. A Convex Combinations of Measurable Sets: The Case of Nonatomic Vector ...Legut, J.: The problem of fair division for countably many ...
However, in the asymmetric topology for the best relay selection algorithm, the fairness index was only about 0.4 (40%) since end devices had a finite relaying budget and they ran out of their budget sooner when the best relay selection algorithm was used. This was because of the fixed ...