Engaging the services of an attorney specializing in police brutality can prove to be an intricate endeavor, given the complexities within this niche legal field. The selection of a competent and experienced lawyer in this domain can immensely influence the outcome of your case. Herein, we delve into six pivotal queries that could guide your selection process, ensuring that you engage the best possible representation.

• What is your experience with police brutality cases?

  Understanding their past experiences in handling police brutality cases allows you to gauge their expertise. You might think of expertise as a function where the independent variable is the number of years of practice and the dependent variable is proficiency. However, in reality, it's more akin to a stochastic process, where random variables can influence the outcome - these random variables being the number of police brutality cases handled, their complexity, and the outcomes achieved.

• How do you perceive the police?

  This question digs into the subjective domain of the attorney's world view regarding law enforcement. It gives insight into the lawyer's biases or preconceived notions, which could either aid or hinder your case. Social psychology suggests that one's perception of a group can substantially influence their actions and attitudes towards that group - this is known as stereotype activation. If an attorney has an overly favorable or unfavorable view of the police, it may compromise their ability to objectively analyze and present your case.

• Can you describe your strategy for my case?

  Understanding their proposed approach to your case can shed light on their strategic planning capability. Game theory, a branch of mathematics concerned with decision-making, could be applied here. The lawyer needs to anticipate the actions of the opposing counsel, the jury, the judge, and others, to make decisions that maximize the probability of a favorable outcome.

• What is your success rate with similar cases?

  While the past performance is not a guaranteed predictor of future outcomes, according to statistical regression towards the mean, it can give you some idea of their capabilities. Moreover, it is a reflection of their practical application of knowledge and skills pertinent to police brutality cases. The success rate, however, should be considered alongside other factors such as the complexity and circumstances of the cases they have handled.

• How do you handle communication with clients?

  Effective communication between a lawyer and their client is a cornerstone of a successful legal partnership. This question may reveal their availability, transparency, and overall communication style. From an information theory perspective, the lawyer should be able to effectively reduce the entropy or confusion in the client's mind about the case, by conveying clear, relevant and timely information.

• What are your legal fees and how are they structured?

  Understanding the cost and structure of legal fees is crucial to avoid potential future disputes. In microeconomic theory, this would be akin to understanding the price of the legal service and how it is determined. The two most common approaches are hourly rates and contingency fees. The former requires you to pay for the lawyer's time regardless of the outcome, while the latter means the lawyer gets paid a percentage of the award only if you win.

In conclusion, it is essential to make an informed decision when selecting a police brutality lawyer. These questions provide a multi-faceted approach towards understanding the lawyer's technical competence, strategic approach, bias, communication style, and fee structure. By approaching your potential lawyer armed with these questions, you are well equipped to find a representative best suited to your needs and to navigate the complex judicial landscape of police brutality litigation.