Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287552350> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W4287552350 abstract "We investigate the equilibrium behavior for the decentralized cheap talk problem for real random variables and quadratic cost criteria in which an encoder and a decoder have misaligned objective functions. In prior work, it has been shown that the number of bins in any equilibrium has to be countable, generalizing a classical result due to Crawford and Sobel who considered sources with density supported on $[0,1]$. In this paper, we first refine this result in the context of log-concave sources. For sources with two-sided unbounded support, we prove that, for any finite number of bins, there exists a unique equilibrium. In contrast, for sources with semi-unbounded support, there may be a finite upper bound on the number of bins in equilibrium depending on certain conditions stated explicitly. Moreover, we prove that for log-concave sources, the expected costs of the encoder and the decoder in equilibrium decrease as the number of bins increases. Furthermore, for strictly log-concave sources with two-sided unbounded support, we prove convergence to the unique equilibrium under best response dynamics which starts with a given number of bins, making a connection with the classical theory of optimal quantization and convergence results of Lloyd's method. In addition, we consider more general sources which satisfy certain assumptions on the tail(s) of the distribution and we show that there exist equilibria with infinitely many bins for sources with two-sided unbounded support. Further explicit characterizations are provided for sources with exponential, Gaussian, and compactly-supported probability distributions." @default.
- W4287552350 created "2022-07-25" @default.
- W4287552350 creator A5000923883 @default.
- W4287552350 creator A5005401257 @default.
- W4287552350 creator A5060023238 @default.
- W4287552350 creator A5072799357 @default.
- W4287552350 creator A5090728745 @default.
- W4287552350 date "2020-12-15" @default.
- W4287552350 modified "2023-10-16" @default.
- W4287552350 title "Signaling Games for Log-Concave Distributions: Number of Bins and Properties of Equilibria" @default.
- W4287552350 doi "https://doi.org/10.48550/arxiv.2012.08265" @default.
- W4287552350 hasPublicationYear "2020" @default.
- W4287552350 type Work @default.
- W4287552350 citedByCount "0" @default.
- W4287552350 crossrefType "posted-content" @default.
- W4287552350 hasAuthorship W4287552350A5000923883 @default.
- W4287552350 hasAuthorship W4287552350A5005401257 @default.
- W4287552350 hasAuthorship W4287552350A5060023238 @default.
- W4287552350 hasAuthorship W4287552350A5072799357 @default.
- W4287552350 hasAuthorship W4287552350A5090728745 @default.
- W4287552350 hasBestOaLocation W42875523501 @default.
- W4287552350 hasConcept C110729354 @default.
- W4287552350 hasConcept C118615104 @default.
- W4287552350 hasConcept C121332964 @default.
- W4287552350 hasConcept C134306372 @default.
- W4287552350 hasConcept C151730666 @default.
- W4287552350 hasConcept C162324750 @default.
- W4287552350 hasConcept C163716315 @default.
- W4287552350 hasConcept C2777303404 @default.
- W4287552350 hasConcept C2779343474 @default.
- W4287552350 hasConcept C28826006 @default.
- W4287552350 hasConcept C33923547 @default.
- W4287552350 hasConcept C50522688 @default.
- W4287552350 hasConcept C62520636 @default.
- W4287552350 hasConcept C77553402 @default.
- W4287552350 hasConcept C86803240 @default.
- W4287552350 hasConceptScore W4287552350C110729354 @default.
- W4287552350 hasConceptScore W4287552350C118615104 @default.
- W4287552350 hasConceptScore W4287552350C121332964 @default.
- W4287552350 hasConceptScore W4287552350C134306372 @default.
- W4287552350 hasConceptScore W4287552350C151730666 @default.
- W4287552350 hasConceptScore W4287552350C162324750 @default.
- W4287552350 hasConceptScore W4287552350C163716315 @default.
- W4287552350 hasConceptScore W4287552350C2777303404 @default.
- W4287552350 hasConceptScore W4287552350C2779343474 @default.
- W4287552350 hasConceptScore W4287552350C28826006 @default.
- W4287552350 hasConceptScore W4287552350C33923547 @default.
- W4287552350 hasConceptScore W4287552350C50522688 @default.
- W4287552350 hasConceptScore W4287552350C62520636 @default.
- W4287552350 hasConceptScore W4287552350C77553402 @default.
- W4287552350 hasConceptScore W4287552350C86803240 @default.
- W4287552350 hasLocation W42875523501 @default.
- W4287552350 hasLocation W42875523502 @default.
- W4287552350 hasOpenAccess W4287552350 @default.
- W4287552350 hasPrimaryLocation W42875523501 @default.
- W4287552350 hasRelatedWork W1511981482 @default.
- W4287552350 hasRelatedWork W1836611381 @default.
- W4287552350 hasRelatedWork W1985684185 @default.
- W4287552350 hasRelatedWork W1997503460 @default.
- W4287552350 hasRelatedWork W2094321879 @default.
- W4287552350 hasRelatedWork W2121711034 @default.
- W4287552350 hasRelatedWork W2136017802 @default.
- W4287552350 hasRelatedWork W3088044682 @default.
- W4287552350 hasRelatedWork W3021358325 @default.
- W4287552350 hasRelatedWork W3100109466 @default.
- W4287552350 isParatext "false" @default.
- W4287552350 isRetracted "false" @default.
- W4287552350 workType "article" @default.