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 ...
I. Morrison, D. Swinarski, Can you play a fair game of craps with a loaded pair of dice?, Exp Math. 20 (2011) 34-56.Ian Morrison and David Swinarski, Computer-assisted calculations and other ancillary ma- terial for "Can you play a fair game of craps with a loaded pair of ...
Nilsson, P., Ozay, N., Liu, J.: Augmented finite transition systems as abstractions for control synthesis. Discrete Event Dyn. Syst. 27(2), 301–340 (2017). https://doi.org/10.1007/s10626-017-0243-z Article MathSciNet MATH Google Scholar Pistore, M., Traverso, P.: Planning as ...
The full coalitional bargaining game presented in Okada (1996) is infinite horizon, i.e., negotiation could go on indefinitely. Clearly, this is impossible to simulate on a finite computer and we must set a maximum number of rounds. Nevertheless, it is still possible to optimise for the ...
The number of strategies classifies the games and determining rational behavior rules is the main objective of the theory of games in game situations. Answer and Explanation: Answer: C) 0.125 Explanation: If Joe flipped a fair coin 3 times, there are...
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 ...
In this paper, we aim to constructrandomized wait-freelocks, and furthermore bound running time and success probabilities in terms of thepoint contentionon the locks in the system. We say an algorithm israndomized wait freeif each process takes a finite expected number of steps until its operat...
Fair exchange cannot be securely reduced to the problem of fair cointossing by anr-round protocol, except with an error that isΩ(1r). Finite fairsamplingproblems with rational probabilities can all be reduced to fair coin-tossing and unfair 2-party computation (or equivalently, under computationa...
1 Introduction In parameterized probabilistic concurrent systems, a population of agents, each typically modeled as a finite-state probabilistic program, run concurrently in discrete time and update their states based on probabilistic transition rules. c Springer-Verlag GmbH Germany 2017 A. Legay and ...