Existence of optimal auctions in general environments

Article Abstract:

A general existence result for a specific Stackelberg revelation game is established to arrive at a standard approach to the problem of existence of optimal auctions for a a wide array of auction environments. When systematically specializing the revelation game to include different types of auctions, the presence of optimal Bayesian auction mechanisms for single and multiple unit auctions and for contract auctions with moral hazard and adverse selection are deduced.

Mathematics, Models, Usage, Bayesian statistical decision theory, Bayesian analysis, Mathematical analysis, Sequential analysis

---

Unified treatment of the problem of existence of maximal elements in binary relations: a characterization

Article Abstract:

Analysis of maximal elements in binary relations reveals that there is an existence result that covers both convexity and acyclicity analyses of non-transitive binary relation maximal elements. The study also reveals that there is an abstract convexity structure that generalizes the notion of usual convexity. The study reveals that the statement covering maximal elements and the concept may be used as a powerful tool in solving maximal element problems.

Research, Convex domains, Binary system (Mathematics)

---

Variations on the measure representation approach

Article Abstract:

Analysis of the measure representation approach reveals that additive utility theorems of Debreu and Gorman allows for the existence of a measure representation theorem for increasing and continuous real-valued functions. The proof may be modified to yeild another measure representation theorem for functions of bounded variation when considering preference relation epigraphs or hypographs.

Measure theory, Functions (Mathematics), Functions

Similar abstracts:

• Abstracts: Strong optimality in OG economies: convergence. The existence of maximal elements: generalized lexicographic relations
• Abstracts: Existence and uniqueness of optimal consumption and portfolio rules in a continuous-time finance model with habit formation and without short sales
• Abstracts: A stopping rule for the computation of generalized method of moments estimator. The limiting distribution of the maximum rank correlation estimator
• Abstracts: Estimation of a duration model in the presence of missing data. The productivity slowdown: is a growing unmeasurable sector the culprit?
• Abstracts: Repeated games with differential time preferences. The "Devil's Horns" problem of inverting confluent characteristic functions

This website is not affiliated with document authors or copyright owners. This page is provided for informational purposes only. Unintentional errors are possible.