Given minimum utility requirements, and, the arbitrator should be able to determine if this pair is feasible, that is, whether there exists a power pricing pair that leads to a unique NE that fulfills these requirements simultaneously.
We show conditions under which for any given first price handicap auction, there exists a superior second price auction with bonuses.
The direction is also of interest as this information can provide further insights such as whether there exists a suitable reference price for the world rice price.
As seen from Figure 3, there exists a maximum permissible price-point, below which, acquiring external data is feasible.
Given, and, there exists a set of pricing pairs that achieves the concurrent transmission case described above.
This is an important result when put into a macro level perspective because it implies that there exists a set of prices for inputs and outputs in the economy such that the profit-maximising behaviour of firms along with the utility-maximizing actions of individuals results in the demand for each good equaling the supply in all markets.
Financial markets are assumed to be complete, meaning that for each state (i), there exists an associated state price (per unit of probability) (pi _{i} ge 0).
Does there exist an equilibrium price vector, i.e., a positive price vector p such that x ( p ) = ω ?
Given the recent volatile nature of dairy commodity prices, there exists a perceived threat that these commodities may be replaced by cheaper substitutes.
Then, the mapping is transversally super-equitable if and only if there exists a coherent system of personalized prices and incomes, ({zeta _{i},R_{i}}_{iin mathbf {N}}.) In other words, TSEP (Leftrightarrow ) TSEQ (Leftrightarrow ) begin{aligned} dot{u}_{i}(psi )=dot{u}_{i}(x psi ),y_{i}(psi ))ge dot{u}_{i}left( x psi ),lambdaa _{i}sum _{jin mathbf {N}}y_{j}(psi )right),foralll iin mathbf {N}.
