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Diffstat (limited to 'problem.tex')
| -rw-r--r-- | problem.tex | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/problem.tex b/problem.tex index 9d67074..c9037b0 100644 --- a/problem.tex +++ b/problem.tex @@ -155,7 +155,7 @@ returns a vector of payments $[p_i(c)]_{i\in \mathcal{N}}$. \item \emph{Truthfulness/Incentive Compatibility.} An experiment subject has no incentive to missreport her true cost. Formally, let $c_{-i}$ be a vector of costs of all agents except $i$. Then, % $c_{-i}$ being the same). Let $[p_i']_{i\in \mathcal{N}} = p(c_i', % c_{-i})$, then the -\begin{align} p_i(c_i,c_{-i}) - s_i(c_i,c_{-i})\cdot c_i \geq p_i(c_i',c_{-i}) - s(c_i',c_{-i})\cdot c_i, \label{truthful}\end{align} for every $i \in \mathcal{N}$ and every two cost vectors $(c_i,c_{-i})$ and $(c_i',c_{-i})$. +\begin{align} p_i(c_i,c_{-i}) - s_i(c_i,c_{-i})\cdot c_i \geq p_i(c_i',c_{-i}) - s_i(c_i',c_{-i})\cdot c_i, \label{truthful}\end{align} for every $i \in \mathcal{N}$ and every two cost vectors $(c_i,c_{-i})$ and $(c_i',c_{-i})$. \item \emph{Budget Feasibility.} The sum of the payments should not exceed the budget constraint, \emph{i.e.} %\begin{displaymath} |