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Using mostly elementary considerations, we find out who wins the game of Domineering on all rectangular boards of width 2, 3, 5, and 7. We obtain bounds on other boards as well, and prove the existence of polynomial-time strategies for playing on all boards of width 2, 3, 4, 5, 7, 9, and 11. We...
Persistent link: https://www.econbiz.de/10005790706
Computer codes for computation and comparison of RNA secondary structures, the {\tt Vienna RNA package}, are presented, that are based on dynamic programming algorithms and aim at predictions of structures with minimum free energies as well as at computations of the equilibrium partition...
Persistent link: https://www.econbiz.de/10005790707
We study the small-world network model, which mimics the transition between regular-lattice and random-lattice behavior in social networks of increasing size. We contend that the model displays a normal continuous phase transition with a divergent correlation length as the degree of randomness...
Persistent link: https://www.econbiz.de/10005790708
Many of the applications of game theory have been to economics where the individuals under study are assumed to be maximizing profits or Òutility'' or some other conventional economic goal of Òstatus.'' Loosely stated we think of status as one's position in a society compared with others,...
Persistent link: https://www.econbiz.de/10005790709
Individual behavioral strategies that use conditional probabiltites for future environments and information about past environments are studied. The environments are random and Markovian. The individual uses the information available to it to prepare for the next environmental state in order to...
Persistent link: https://www.econbiz.de/10005790710
We have calculated the base pair probability distribution for the secondary structure of a full length HIV-1 genome using the partition function approach introduced by MasCaskill (1990). By analyzing the full distribution of base pair probabilities instead of a restricted number of secondary...
Persistent link: https://www.econbiz.de/10005790711
Persistent link: https://www.econbiz.de/10005790712
We use symbolic regression (implemented by a genetic program) to analyze the role of agent expectation formation in games. In the model, agents attempt to infer the strategies of opponents through regression and then best respond using this information. Though agents use deterministic...
Persistent link: https://www.econbiz.de/10005790713
Persistent link: https://www.econbiz.de/10005790714
Emergence is a universal phenomenon that can be defined mathematically in a very general way. This is useful for the study of scientifically legitimate explanations of complex systems, here defined as hyperstructures. A requirement is that the observation mechanisms are considered within the...
Persistent link: https://www.econbiz.de/10005790715