메뉴 건너뛰기




Volumn 17, Issue 2, 2007, Pages 654-675

Average optimality for risk-sensitive control with general state space

Author keywords

Average cost optimality inequality; Borel state space; Risk sensitive control

Indexed keywords


EID: 51149100151     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051606000000790     Document Type: Article
Times cited : (90)

References (31)
  • 1
    • 0002801896 scopus 로고    scopus 로고
    • Multiplicative ergodicity and large deviations for an irreducible Markov chains
    • MR1787128
    • BALAJI, S. and MEYN, S. P. (2000). Multiplicative ergodicity and large deviations for an irreducible Markov chains. Stochastic Process. Appl. 90 123-144. MR1787128
    • (2000) Stochastic Process. Appl , vol.90 , pp. 123-144
    • BALAJI, S.1    MEYN, S.P.2
  • 3
    • 0001177402 scopus 로고    scopus 로고
    • Risk- senisitivecontrol of finite state Markov chains in discrete time, with applications to portfolio managment
    • MR1732397
    • BIELECKI, T., HERNÁNDEZ- HERNÁNDEZ, D. and PLISKA, S. (1999).Risk- senisitivecontrol of finite state Markov chains in discrete time, with applications to portfolio managment. Math. Methods Oper. Res. 50 167-188. MR1732397
    • (1999) Math. Methods Oper. Res , vol.50 , pp. 167-188
    • BIELECKI, T.1    HERNÁNDEZ- HERNÁNDEZ, D.2    PLISKA, S.3
  • 4
    • 0033130828 scopus 로고    scopus 로고
    • Risk-senisitive dynamic asset managment
    • MR1675114
    • BLELECKI, T. and PLISKA, S. (1999). Risk-senisitive dynamic asset managment. Appl. Math. Optim. 39 337-360. MR1675114
    • (1999) Appl. Math. Optim , vol.39 , pp. 337-360
    • BLELECKI, T.1    PLISKA, S.2
  • 5
    • 0036474404 scopus 로고    scopus 로고
    • Risk-sensitive optimal control for Markov decision processes with monotone cost
    • MR1886226
    • BORKAR, V. S. and MEYN, S. P. (2002). Risk-sensitive optimal control for Markov decision processes with monotone cost. Math. Oper. Res. 27 .192-209. MR1886226
    • (2002) Math. Oper. Res , vol.27 , pp. 192-209
    • BORKAR, V.S.1    MEYN, S.P.2
  • 6
    • 0001091975 scopus 로고
    • Measurable selections of extrema
    • MR0432846
    • BROWN, L. D. and. PURVES, R. (1973). Measurable selections of extrema. Ann. Statist. 1 902-912. MR0432846
    • (1973) Ann. Statist , vol.1 , pp. 902-912
    • BROWN, L.D.1    PURVES, R.2
  • 7
    • 0026156940 scopus 로고
    • A counterexample on the optimality equation in Markov decision chains with, the average cost criterion
    • CAVAZOS-CADENA, R. (1991). A counterexample on the optimality equation in Markov decision chains with, the average cost criterion. Systems Control Lett. 16 387-392.
    • (1991) Systems Control Lett , vol.16 , pp. 387-392
    • CAVAZOS-CADENA, R.1
  • 8
    • 0001099755 scopus 로고    scopus 로고
    • Controlled Markov chains with risk-sensitive criteria: Average cost, optimal equations and optimal solutions
    • MR1687362
    • CAVAZOS-CADENA, R. and FERNÁNDEZ- GAUCHERAND, E. (.1999). Controlled Markov chains with risk-sensitive criteria: Average cost, optimal equations and optimal solutions. Math. Methods Oper. Res. 49 299-324. MR1687362
    • (1999) Math. Methods Oper. Res , vol.49 , pp. 299-324
    • CAVAZOS-CADENA, R.1    FERNÁNDEZ- GAUCHERAND, E.2
  • 9
    • 0030374474 scopus 로고    scopus 로고
    • Some connections between stochastic control and dynamic games
    • MR1450355
    • DAI PRA, P., MENEGHINI, L. and. RUNGGALDIER, W. J. (1996). Some connections between stochastic control and dynamic games. Math. Control Signals Systems 9 303-326. MR1450355
    • (1996) Math. Control Signals Systems , vol.9 , pp. 303-326
    • DAI PRA, P.1    MENEGHINI, L.2    RUNGGALDIER, W.J.3
  • 10
    • 0342757512 scopus 로고    scopus 로고
    • DI MASI, G. B. and STETTNER, Ł. (2000). Risk-sensitive control of discrete-time Markov processes with infinite horizon. SIAM Control Optim. 38 6.1-78. MR1740607
    • DI MASI, G. B. and STETTNER, Ł. (2000). Risk-sensitive control of discrete-time Markov processes with infinite horizon. SIAM Control Optim. 38 6.1-78. MR1740607
  • 11
    • 0347937338 scopus 로고    scopus 로고
    • Infinite horizon risk sensitive control of discrete time Markov processes with, small risk
    • MR1829070
    • DI MASI, G. B. and STETTNER, Ł. (2000). Infinite horizon risk sensitive control of discrete time Markov processes with, small risk. Systems Control Lett. 40 .15-20. MR1829070
    • (2000) Systems Control Lett , vol.40 , pp. 15-20
    • DI MASI, G.B.1    STETTNER, Ł.2
  • 12
    • 51149083837 scopus 로고    scopus 로고
    • DUPUIS, P. and ELLIS, R. S. (1997). A Weak Convergence Approach to the Theory of Large Deviations. Wiley, New York. MR1431744
    • DUPUIS, P. and ELLIS, R. S. (1997). A Weak Convergence Approach to the Theory of Large Deviations. Wiley, New York. MR1431744
  • 13
    • 51149107325 scopus 로고    scopus 로고
    • FILAR, J. and VRIEZE, K. (1997). Competitive Markov Decision Processes. Springer, New York. MR1418636
    • FILAR, J. and VRIEZE, K. (1997). Competitive Markov Decision Processes. Springer, New York. MR1418636
  • 14
    • 0031233725 scopus 로고    scopus 로고
    • FLEMING, W. H. and HERNÁNDEZ- HERNÁNDEZ, D. (1997). Risk-sensitive control of finite state machines on an infinite horizon. SIAM Control Optim. 35 1790-1810. MR1466928
    • FLEMING, W. H. and HERNÁNDEZ- HERNÁNDEZ, D. (1997). Risk-sensitive control of finite state machines on an infinite horizon. SIAM Control Optim. 35 1790-1810. MR1466928
  • 15
    • 0030291522 scopus 로고    scopus 로고
    • HERNÁNDEZ-HERNÁNDEZ, D. and MARCUS, S. I. (1996). Risk sensitive control of Markov processes in countable state space. Systems Control Lett. 29 147-155. [Corrigendum (1998) Systems Control Lett. 34 105-106.] MR1422212
    • HERNÁNDEZ-HERNÁNDEZ, D. and MARCUS, S. I. (1996). Risk sensitive control of Markov processes in countable state space. Systems Control Lett. 29 147-155. [Corrigendum (1998) Systems Control Lett. 34 105-106.] MR1422212
  • 16
    • 0344642515 scopus 로고    scopus 로고
    • Existence of risk-sensitive optimal stationary policies for controlled Markov processes
    • MR1709324
    • HERNÁNDEZ-HERNÁNDEZ, D. and MARCUS, S. I. (1999). Existence of risk-sensitive optimal stationary policies for controlled Markov processes. Appl. Math. Optim. 40 273-285. MR1709324
    • (1999) Appl. Math. Optim , vol.40 , pp. 273-285
    • HERNÁNDEZ-HERNÁNDEZ, D.1    MARCUS, S.I.2
  • 17
    • 51149113913 scopus 로고    scopus 로고
    • HERNÁNDEZ-LERMA, O. and LASSERRE, J. B. (1993). Discrete-Time Markov Control Process: Basic Optimality Criteria. Springer, New York. MR1363487
    • HERNÁNDEZ-LERMA, O. and LASSERRE, J. B. (1993). Discrete-Time Markov Control Process: Basic Optimality Criteria. Springer, New York. MR1363487
  • 18
    • 0000154793 scopus 로고
    • Risk-sensitive Markov decision processes
    • MR0292497
    • HOWARD, R. A. and MATHESON, J. E. (.1972). Risk-sensitive Markov decision processes. Management Sei. 18 356-369. MR0292497
    • (1972) Management Sei , vol.18 , pp. 356-369
    • HOWARD, R.A.1    MATHESON, J.E.2
  • 19
    • 0015615984 scopus 로고
    • Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games
    • 124-13.1. MR0441523
    • JACOBSON, D. H. (1973). Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games. IEEE Trans. Automat. Control 18 .124-13.1. MR0441523
    • (1973) IEEE Trans. Automat. Control , vol.18
    • JACOBSON, D.H.1
  • 20
    • 51149103668 scopus 로고    scopus 로고
    • A note on risk-sensitive control of invariant models
    • Technical Report, Wroclaw University of Technology
    • JASKIEWICZ, A. (2006). A note on risk-sensitive control of invariant models. Technical Report, Wroclaw University of Technology.
    • (2006)
    • JASKIEWICZ, A.1
  • 21
    • 29844439998 scopus 로고    scopus 로고
    • On the optimality equation for average cost Markov control processes with Feller transition probabilities
    • MR2206685
    • JAŚKIEWICZ, A. and NOWAK, A. S. (2006). On the optimality equation for average cost Markov control processes with Feller transition probabilities. J. Math. Anal. Appl. 316 495-509. MR2206685
    • (2006) J. Math. Anal. Appl , vol.316 , pp. 495-509
    • JAŚKIEWICZ, A.1    NOWAK, A.S.2
  • 22
    • 34249037119 scopus 로고    scopus 로고
    • Zero-sum ergodic stochastic games with Feller transition probabilities
    • MR2247715
    • JAŚKIEWICZ, A. and NOWAK, A. S. (2006). Zero-sum ergodic stochastic games with Feller transition probabilities. SIAM J. Control Optim. 45 773-789. MR2247715
    • (2006) SIAM J. Control Optim , vol.45 , pp. 773-789
    • JAŚKIEWICZ, A.1    NOWAK, A.S.2
  • 23
    • 51149098700 scopus 로고    scopus 로고
    • KLEIN, E. and THOMPSON, A. C. (1984). Theory of Correspondences. Wiley, New York. MR0752692
    • KLEIN, E. and THOMPSON, A. C. (1984). Theory of Correspondences. Wiley, New York. MR0752692
  • 24
    • 51149084905 scopus 로고    scopus 로고
    • NEVEU, J. (1965). Mathematical Foundations of the Calculus of Probability. Holden-Day, San Francisco, CA. MR0198505
    • NEVEU, J. (1965). Mathematical Foundations of the Calculus of Probability. Holden-Day, San Francisco, CA. MR0198505
  • 25
    • 51149119909 scopus 로고    scopus 로고
    • ROYDEN, H. L. (1968). Real Analysis. MacMillan, New York. MR0151555
    • ROYDEN, H. L. (1968). Real Analysis. MacMillan, New York. MR0151555
  • 26
    • 0001295069 scopus 로고
    • Conditions for optimality in dynamic programming and for the limit n-stage optimal policies to be optimal
    • MR0378841
    • SCHÄL, M. (1975). Conditions for optimality in dynamic programming and for the limit n-stage optimal policies to be optimal. Z. Wahrsch. Verw. Gebiete 32 179-196. MR0378841
    • (1975) Z. Wahrsch. Verw. Gebiete , vol.32 , pp. 179-196
    • SCHÄL, M.1
  • 27
    • 0007153543 scopus 로고
    • Average optimality in dynamic programming with general state space
    • MR1250112
    • SCHÄL, M. (1993). Average optimality in dynamic programming with general state space. Math. Oper. Res. 18 163-172. MR1250112
    • (1993) Math. Oper. Res , vol.18 , pp. 163-172
    • SCHÄL, M.1
  • 28
    • 85060257643 scopus 로고    scopus 로고
    • SENNOTT, L. I. (1999). Stochastic Dynamic Programming and the Control of Queueing Systems. Wiley, New York. MR.1645435
    • SENNOTT, L. I. (1999). Stochastic Dynamic Programming and the Control of Queueing Systems. Wiley, New York. MR.1645435
  • 29
    • 0141827441 scopus 로고
    • Convergence of Lebesgue integrals with varying measures
    • MR0705462
    • SERFOZO, R. (1982). Convergence of Lebesgue integrals with varying measures. Sankhyä Ser. A, 44 380-402. MR0705462
    • (1982) Sankhyä Ser. A , vol.44 , pp. 380-402
    • SERFOZO, R.1
  • 30
    • 0003854603 scopus 로고    scopus 로고
    • Risk sensitive portfolio optimization
    • MR1731299
    • STETTNER, L. (1999). Risk sensitive portfolio optimization. Math. Methods Oper. Res. 50 463-474. MR1731299
    • (1999) Math. Methods Oper. Res , vol.50 , pp. 463-474
    • STETTNER, L.1
  • 31
    • 51149119007 scopus 로고    scopus 로고
    • WHITTLE, P. (1990). Risk-Sensitive Optimal Control. Wiley, Chichester. MR1093001
    • WHITTLE, P. (1990). Risk-Sensitive Optimal Control. Wiley, Chichester. MR1093001


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.