2,901 research outputs found
Perfect Competition
In his 1987 entry on ‘Perfect Competition’ in The New Palgrave, the author reviewed the question of the perfectness of perfect competition, and gave four alternative formalisations rooted in the so-called Arrow-Debreu-Mckenzie model. That entry is now updated for the second edition to include work done on the subject during the last twenty years. A fresh assessment of this literature is offered, one that emphasises the independence assumption whereby individual agents are not related except through the price system. And it highlights a ‘linguistic turn’ whereby Hayek’s two fundamental papers on ‘division of knowledge’ are seen to have devastating consequences for this research programmeAllocation of Resources, Perfect Competition, Exchange Economy
Perfect Competition
In his 1987 entry on ‘Perfect Competition’ in The New Palgrave, the author reviewed the question of the perfectness of perfect competition, and gave four alternative formalisations rooted in the so-called Arrow-Debreu-Mckenzie model. That entry is now updated for the second edition to include work done on the subject during the last twenty years. A fresh assessment of this literature is offered, one that emphasises the independence assumption whereby individual agents are not related except through the price system. And it highlights a ‘linguistic turn’ whereby Hayek’s two fundamental papers on ‘division of knowledge’ are seen to have devastating consequences for this research programme.Allocation of Resources; Perfect Competition; Exchange Economy
Optimal pilot decisions and flight trajectories in air combat
The thesis concerns the analysis and synthesis of pilot decision-making and the design of optimal flight trajectories. In the synthesis framework, the methodology of influence diagrams is applied for modeling and simulating the maneuvering decision process of the pilot in one-on-one air combat. The influence diagram representations describing the maneuvering decision in a one sided optimization setting and in a game setting are constructed. The synthesis of team decision-making in a multiplayer air combat is tackled by formulating a decision theoretical information prioritization approach based on a value function and interval analysis. It gives the team optimal sequence of tactical data that is transmitted between cooperating air units for improving the situation awareness of the friendly pilots in the best possible way. In the optimal trajectory planning framework, an approach towards the interactive automated solution of deterministic aircraft trajectory optimization problems is presented. It offers design principles for a trajectory optimization software that can be operated automatically by a nonexpert user. In addition, the representation of preferences and uncertainties in trajectory optimization is considered by developing a multistage influence diagram that describes a series of the maneuvering decisions in a one-on-one air combat setting. This influence diagram representation as well as the synthesis elaborations provide seminal ways to treat uncertainties in air combat modeling. The work on influence diagrams can also be seen as the extension of the methodology to dynamically evolving decision situations involving possibly multiple actors with conflicting objectives. From the practical point of view, all the synthesis models can be utilized in decision-making systems of air combat simulators. The information prioritization approach can also be implemented in an onboard data link system.reviewe
Neuro-evolution Methods for Designing Emergent Specialization
This research applies the Collective Specialization Neuro-Evolution (CONE) method to the problem of evolving neural controllers in a simulated multi-robot system. The multi-robot system consists
of multiple pursuer (predator) robots, and a single evader (prey) robot. The CONE method is designed to facilitate behavioral
specialization in order to increase task performance in collective behavior solutions. Pursuit-Evasion is a task that benefits
from behavioral specialization. The performance of prey-capture strategies derived by the CONE method, are compared to those
derived by the Enforced Sub-Populations (ESP) method. Results indicate that the CONE method effectively facilitates behavioral specialization in the team of pursuer
robots. This specialization aids in the derivation of robust prey-capture strategies. Comparatively, ESP was found to be not
as appropriate for facilitating behavioral specialization and effective prey-capture behaviors
Statistical properties for directional alignment and chasing of players in football games
Focusing on motion of two interacting players in football games, two velocity
vectors for the pair of one player and the nearest opponent player exhibit
strong alignment. Especially, we find that there exists a characteristic
interpersonal distance cm below which the circular variance for
their alignment decreases rapidly. By introducing the order parameter in order to measure degree of alignment of players' velocity vectors, we also
find that the angle distribution between the nearest players' velocity vectors
becomes wrapped Cauchy () and the mixture of von Mises and
wrapped Cauchy distributions (), respectively. To
understand these findings, we construct a simple model for the motion of the
two interacting players with the following rules: chasing between the players
and the reset of the chasing. We numerically show that our model successfully
reproduce the results obtained from the actual data. Moreover, from the
numerical study, we find that there is another characteristic distance cm below which player's chasing starts.Comment: 16pages, 12 figures, 3 table
An All-Against-One Game Approach for the Multi-Player Pursuit-Evasion Problem
The traditional pursuit-evasion game considers a situation where one pursuer tries to capture an evader, while the evader is trying to escape. A more general formulation of this problem is to consider multiple pursuers trying to capture one evader. This general multi-pursuer one-evader problem can also be used to model a system of systems in which one of the subsystems decides to dissent (evade) from the others while the others (the pursuer subsystems) try to pursue a strategy to prevent it from doing so. An important challenge in analyzing these types of problems is to develop strategies for the pursuers along with the advantages and disadvantages of each. In this thesis, we investigate three possible and conceptually different strategies for pursuers: (1) act non-cooperatively as independent pursuers, (2) act cooperatively as a unified team of pursuers, and (3) act individually as greedy pursuers. The evader, on the other hand, will consider strategies against all possible strategies by the pursuers. We assume complete uncertainty in the game i.e. no player knows which strategies the other players are implementing and none of them has information about any of the parameters in the objective functions of the other players. To treat the three pursuers strategies under one general framework, an all-against-one linear quadratic dynamic game is considered and the corresponding closed-loop Nash solution is discussed. Additionally, different necessary and sufficient conditions regarding the stability of the system, and existence and definiteness of the closed-loop Nash strategies under different strategy assumptions are derived. We deal with the uncertainties in the strategies by first developing the Nash strategies for each of the resulting games for all possible options available to both sides. Then we deal with the parameter uncertainties by performing a Monte Carlo analysis to determine probabilities of capture for the pursuers (or escape for the evader) for each resulting game. Results of the Monte Carlo simulation show that in general, pursuers do not always benefit from cooperating as a team and that acting as non-cooperating players may yield a higher probability of capturing of the evader
A Model for Perimeter-Defense Problems with Heterogeneous Teams
We develop a model of the multi-agent perimeter-defense game to calculate how
an adaptive defense should be organized. This model is inspired by the human
immune system and captures settings such as heterogeneous teams, limited
resource allocations, partial observability of the attacking side, and
decentralization. An optimal defense, that minimizes the harm under constraints
of the energy spent to maintain a large and diverse repertoire, must maintain
coverage of the perimeter from a diverse attacker population. The model
characterizes how a defense might take advantage of its ability to respond
strongly to attackers of the same type but weakly to attackers of diverse types
to minimize the number of diverse defenders and while reducing harm. We first
study the model from a steady-state perimeter-defense perspective and then
extend it to mobile defenders and evolving attacker distributions. The optimal
defender distribution is supported on a discrete set and similarly a Kalman
filter obtaining local information is able to track a discrete, sometimes
unknown, attacker distribution. Simulation experiments are performed to study
the efficacy of the model under different constraints.Comment: 8 pages, 6 figure
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